Compatible Mapping Research Articles

Different grasping experiences affect mapping effects but not correspondence effects between stimulus size and response location.

The so-called spatial-size association of response codes (SSARC) effect denotes that humans respond faster and more accurately with a left response to physically small stimuli and a right response to physically large stimuli, as compared to the opposite mapping. According to an application of the CORE principle to the SSARC effect, the habit to grasp larger/heavier objects with one's dominant hand and smaller/lighter objects with one's non-dominant hand creates spatial-size associations. We investigated if grasping habits play a causal role in the formation of spatial-size associations by testing if the mapping of a preceding object-grasping task affects the size of the SSARC effect in subsequent choice-response tasks with keypress responses. In the object-grasping task, participants were instructed to grasp wooden cubes of variable size either according to a compatible (small-left; large-right) or according to an incompatible (small-right; large-left) mapping. In the choice-response tasks, participants responded with left or right keypresses to the size or color of a small or large stimulus. The results showed that participants with the compatible mapping in the object-grasping task showed a larger SSARC effect in the size discrimination task, but not in the color discrimination task, than participants with the incompatible mapping in the object-grasping task. Results suggest that a short period of practice with different size-location mappings can modulate size-location links used for controlled S-R translation, but not links underlying automatic S-R translation. In general, the results support the hypothesis that grasping habits play a causal role in the formation of spatial-size associations.

Common Fixed Point Theorems for Weakly Compatible Mapping by (CLR) Property in Dislocated Metric Spaces

In this paper, we employ the concepts of commutativity, weak compatibility and common limit in the range (CLR) property to derive some common fixed point theorems for six mappings satisfying integral type contractive conditions in complete dislocated metric spaces. Our findings improve and extends some previous results found in the literature. 2010 Mathematical Sciences Classification: 54H25, 47H10

A Common Fixed Point Theorem For Generalized Contraction In Complete B-Metric Spaces

In this paper, we obtain a common fixed point result for weakly compatible mapping in b-metric like spaces. We generalize and extend various fixed point theorems of the literature. In addition, we attempt to make some important conclusions for the established result.

Studying triple fixed point through the modified intuitionistic fuzzy metric space

In order to meet the ψ–contractive criteria, two sets of compatible and sequentially continuous mappings in the modified intuitionistic fuzzy metric space are shown to have a shared triple fixed point. The binary operator, intuitionistic fuzzy metric space, modified intuitionistic fuzzy metric space, and compatible mapping are only a few of the more fundamental notions and theorems that have been borrowed from other recent scientific articles.

Common coupled fixed point theorem for two pairs compatible and sub-sequentially continuous mapping

This study establishes a common coupled fixed point for two pairs of compatible and sequentially continuous mappings in the intuitionistic fuzzy metric space that satisfy the ϕ–contractive conditions. Many basic definitions and theorems have been used from some recent scientific papers about the binary operator, t-norm, t-conorm, intuitionistic fuzzy metric space, and compatible mapping for reaching to the paper’s purpose.

Common Fixed-Point Theorems for Six Mappings in Symmetric Spaces

In this paper, we establish a common fixed-point theorem for six mappings in symmetric spaces with compatible mapping of type (E) and occasionally weakly compatible mappings. Our work extends the results of Rajopadhyaya et al. [23,25], Aamri and Moutawakil [2] and other similar results in semi-metric space. 2020 Mathematical Sciences Classification: 54H25, 47H10

Acute safety and performance outcomes from the inspIRE trial using a novel pulsed field ablation system for the treatment of paroxysmal atrial fibrillation

Abstract Background/Introduction The inspIRE clinical trial was designed to assess the safety and efficacy of a fully integrated biphasic pulsed field ablation (PFA) system comprised of a multi-channel generator, variable decapolar irrigated loop circular catheter, and mapping system (Figure A) for the treatment of paroxysmal atrial fibrillation (PAF). Purpose Using this novel PFA system in a multicentre clinical trial, we present the initial feasibility of electrical pulmonary vein isolation (PVI), procedural performance, and acute safety results. Methods inspIRE is a prospective, non-randomized, multi-centre study, planned to enrol up to 550 patients. PVI is performed with the novel, variable loop circular catheter, compatible mapping system and generator. Acute procedural effectiveness (entrance block in all clinically targeted PVs post adenosine/isoproterenol challenge) and the incidence of primary adverse events (PAEs) were assessed. PAEs are defined as the occurrence of cardiac tamponade/perforation, myocardial infarction, stroke/cerebrovascular accident, thromboembolism, transient ischemic attack, permanent phrenic nerve paralysis, pulmonary edema, pericarditis, and any major vascular access complications within 7 days of the ablation procedure. Additionally, any incidence of procedure or device related death, atrio-esophageal fistula, or PV stenosis (related to the ablation procedure or study catheter) within the 12M follow-up period is classified as a PAE. Results A total of 35 PAF subjects (age 59.7±10.7 years, 54.3% male) were treated across 5 European sites by 6 operators. Acute procedural success was achieved in 100% of study subjects (Figure B) with zero incidence of PAEs. Mean total procedure time was 82.9±19.9 minutes with 27.0±11.9 minutes of PFA from first to last application. Average fluoroscopy use was 10.6±6.8 minutes and LA dwell time was 45.6±15.3 minutes. Conclusion Initial results of the inspIRE trial demonstrate the acute safety and effectiveness of the new integrated IRE circular catheter, mapping system and generator for PVI in PAF patients. Funding Acknowledgement Type of funding sources: Other. Main funding source(s): inspIRE is a company-sponsored study funded by Biosense Webster, Inc. Figure 1. (A) PFA System; (B) PVI Voltage Map

A Generalized Fixed Point Theorem in G-Metric Space

In this paper, we consider the concept of non compatible mapping as property (E.A.) in G-metric space and prove some common fixed point theorems.

Common Fixed Point Theorems in Fuzzy Metric Space

In the present paper we prove common fixed point theorem for occasionally weakly compatible mapping in fuzzy metric space. The theorem is a version of many fixed point theorem in fuzzy metric spaces, given by many authors announced in the literature.

Practice and transfer with mappings of spoon tip and handle to keypress responses.

When orientation of a horizontal spoon image varies to the left or right, instructions can map left and right keypresses to the tip or handle location. We conducted Experiment 1 to determine whether practice with an incompatible mapping of the salient tip transfers to a test session in which the relevant part and/or mapping are changed. Participants performed 80 practice trials with tip-incompatible mapping, followed by 80 test trials with tip-compatible, tip-incompatible, handle-compatible, or handle-incompatible mapping. Performance improved across 20-trial blocks in the practice session. In the test session, responses were 65 ms faster with tip-compatible than tip-incompatible mapping but 31 ms faster with handle-incompatible than handle-compatible mapping. This latter result, and verbal reports, indicate that some participants adopted a strategy of responding compatibly to the salient tip even though instructed to respond to the handle. Experiment 2 focused on whether participants with handle-incompatible mapping instructions would adopt the tip-compatible strategy spontaneously or after receiving a hint: 77% of participants reported adopting the tip-compatible strategy in Session 1, showing that prior experience responding to the tip is not necessary and 9% of participants did not report using that strategy in Session 1 but reported changing to it in Session 2 after receiving the hint. Their responses in Session 2 were slower than those who used the strategy throughout, but this difference was minimal in the last two trial blocks. Compatible mapping of the salient spoon tip to keypresses dominated performance over prior practice with incompatible tip mapping and instructions with incompatible handle mapping.

An efficient design methodology for graded surface-based lattice structures using free-size optimization and enhanced mapping method

In this paper, a novel Free-size Optimization based Graded Lattice Generation (FOGLG) method, that generates the functionally graded lattice (FGL) structures using free-size optimization, is proposed. In addition, the reconstruction method suitable for the construction of 3D FGL structures using Additive Manufacturing (AM) is presented. The proposed method employs the thickness information of each shell element obtained from a free-size optimization algorithm to determine the relative element densities, which collectively represent the set of design parameters. An additive manufacturing compatible mapping method of generating FGLs from 2D free-size optimization results is also proposed. The efficiency of the FOGLG was compared to the existing homogenization-based optimization (HMTO) and size optimization algorithms. The objective function of the three optimization strategies targets to minimize the total acceleration spectrum in the frequency range of interest. The effectiveness and validity of this new design method was also demonstrated from laser vibrometer measurements. The results show that the FOGLG reduces the overall acceleration spectrum by 3.6% and 19.4% compared to the HMTO and size optimization algorithms, respectively. High correlation between the numerical and experimental results validates the effectiveness of the proposed algorithm.

Common Fixed Point Results on Generalized Weak Compatible Mapping in Quasi-Partial b-Metric Space

The focus of this paper is to acquaint with generalized condition (B) in a quasi-partial b-metric space and to establish coincidence and common fixed point theorems for weakly compatible pairs of mapping. Additionally, with the background of quasi-partial b-metric space, the outcomes obtained are exemplified to prove the existence and uniqueness of fixed point.

Fixed point theorems for contractive and weakly compatible mapping in complete intuitionistic fuzzy metric space

Fixed point theorems for contractive and weakly compatible mapping in complete intuitionistic fuzzy metric space

Assessing the impact of previous experience on lie effects through a transfer paradigm

Influential lines of research propose dual processes-based explanations to account for both the cognitive cost implied in lying and for that entailed in the resolution of the conflict posited by Simon tasks. The emergence and consistency of the Simon effect has been proved to be modulated by both practice effects and transfer effects. Although several studies provided evidence that the lying cognitive demand may vary as a function of practice, whether and how transfer effects could also play a role remains an open question. We addressed this question with one experiment in which participants completed a Differentiation of Deception Paradigm twice (baseline and test sessions). Crucially, between the baseline and the test sessions, participants performed a training session consisting in a spatial compatibility task with incompatible (condition 1) or compatible (condition 2) mapping, a non-spatial task (condition 3) and a no task one (condition 4). Results speak in favour of a modulation of individual performances by means of an immediate prior experience, and specifically with an incompatible spatial training.

Common fixed point theorem in M-fuzzy metric space for occasionally weakly compatible mapping satisfying integral type inequality

Common fixed point theorem in M-fuzzy metric space for occasionally weakly compatible mapping satisfying integral type inequality

Common fixed point theorems in triangular intuitionistic fuzzy metric spaces

In triangular intuitionistic fuzzy metric spaces, we propose a common fixed point theorem for four mappings under various compatible mapping conditions. On the basis of this, we can further extend the theorem to the common fixed point theorems of four finite families of mappings.

Visual salience of 3D and 2D spoons determines S-R mapping and flanker effects.

This study tested the hypothesis that affordances for grasping with the corresponding hand are activated more strongly by three-dimensional (3D) real objects than by two-dimensional (2D) pictures of the objects. In Experiment 1, participants made left and right keypress responses to the handle or functional end (tip) of an eating utensil using compatible and incompatible mappings. In one session, stimuli were spoons mounted horizontally on a blackboard with the sides to which the handle and tip pointed varying randomly. In the other, stimuli were pictures of spoons displayed on a black computer screen. Three-dimensional and 2D sessions showed a similar benefit for compatible mapping when the tip was relevant and a small cost of compatible mapping when the handle was relevant. Experiment 2 used a flanker task in which participants responded compatibly to the location of the handle or the tip, and spoons located above and below the target spoon could have congruent or incongruent orientations. The difference between 3D and 2D displays was not obtained in the flanker effect for reaction time. There was little evidence that 3D objects activate grasping affordances that 2D images do not. Instead, we argue that visual salience of the tip is the critical factor determining these correspondence effects.

TITIK TETAP PERSEKUTUAN EMPAT PEMETAAN KONTRAKTIF PADA RUANG METRIK CONE

Huang Long Guang dan Zhang Xian pada tahun 2006 telah memperkenalkan metrik yang lebih baru yang disebut metrik cone. Suatu himpunan tak kosong X yang dilengkapi metrik cone d disebut ruang metrik cone. Suatu pemetaan memiliki titik tetap yang tunggal jika pemetaan tersebut merupakan pemetaan kontraktif. Konsep titik tetap persekutuan di ruang metrik cone juga harus memenuhi beberapa kondisi pemetaan yang bersifat coincidence point, point of coincidence, dan kompatibel lemah. Penelitian ini mengkaji titik tetap persekutuan untuk empat pemetaan yang kontraktif pada ruang metrik cone. Hasil penelitian ini menunjukkan bahwa empat pemetaan S, T, I dan J memiliki titik tetap persekutuan yang tunggal pada ruang metrik cone.Kata Kunci: ruang metrik cone, titik tetap persekutuan, pemetan kontraktif, coincidence point, point of coincidence, kompatibel lemah

Common Fixed Point Theorem in 2-Menger Space via (S-B) Property

In this paper, first we prove a common fixed point theorem using weakly compatible mapping in 2- Menger space which generalize the well known results. Secondly, we prove a common fixed point theorem using (S-B) property along with weakly compatible maps. (S-B) property defined by Sharma and Bamoria [16] via implicit relation. Keywords : Common fixed points, Metric space, S-B property, 2-Menger space, weakly compatible mapping and implicit relation. AMS subject classification – 47H10, 54H25. DOI : 10.7176/MTM/9-5-01 Publication date :May 31 st 2019

Visual salience, not the graspable part of a pictured eating utensil, grabs attention.

Three experiments used compatible and incompatible mappings of images of eating utensils to test the hypothesis that these images activate affordances for grasping with the corresponding hand when the required response is a key-press. In Experiment 1, stimuli were photographs of a plastic spoon oriented on the horizontal axis, with the handle location varying randomly between left and right. Participants were instructed to respond to the handle or the tip, with a compatible mapping in one trial block and an incompatible mapping in another. A benefit for the compatible mapping was evident when the spoon tip was defined as relevant and a smaller cost when the handle was defined as relevant, suggesting a larger influence of the tip than the handle. In Experiment 2, the stimuli were photographs of bamboo chopsticks, for which the functional end is pointed and the graspable end is squared. East Asian participants familiar with chopsticks showed compatibility effects that did not differ significantly between the two ends. In Experiment 3, the chopstick handles were colored red to make them relatively more distinct than the tips. Both East Asian participants (Experiment 3B) and a more diverse sample (Experiment 3A) showed a benefit of the compatible mapping when the handle was defined as task relevant but not when the functional end was. Altogether, the results provide evidence that left-right location of a visually salient feature is the main factor driving these compatibility effects, rather than the automatic activation of a grasping affordance.