Compatible Mappings Research Articles

Some Coincidence and Common Fixed Point Theorems for Two Pairs of Self-Mappings Satisfying a Rational Inequality in Complex Valued Metric Spaces

In this paper, we prove some coincidence and common fixed point theorems for two pairs of weakly compatible mappings satisfying a rational inequality in the framework of complex valued metric spaces. The proved results generalizes and extends some well known results in the literature.

Homotopical perspective on statistical quantities

We introduce the notion of cumulants as applied to linear maps between associative (or commutative) algebras that are not compatible with the algebraic product structure. These cumulants have a close relationship with $$A_{\infty }$$ and $$C_{\infty }$$ morphisms, which are the classical homotopical tools for analyzing deformations of algebraically compatible linear maps. We look at these two different perspectives to understand how infinity-morphisms might inform our understanding of cumulants. We show that in the presence of an $$A_{\infty }$$ or $$C_{\infty }$$ morphism, the relevant cumulants are strongly homotopic to zero.

Common Fixed Point Theorems for Contractive Mappings of Integral Type in G -Metric Spaces and Applications

Two common fixed point theorems for weakly compatible mappings satisfying contractive conditions of integral type in G -metric spaces are demonstrated. The results obtained in this paper generalize and differ from a few results in the literature and are used to prove the existence and uniqueness of common bounded and continuous solutions for certain functional equations and nonlinear Volterra integral equations. A nontrivial example is included.

Generalized ψ-weak contraction condition for variants of compatible mappings in G-metric space

In this paper first we present generalized ψ-weak contraction condition that contains cubic and quadratic terms of distance function G(x,y,z) and then prove common fixed point theorems for compatible mappings in G-metric space. Secondly, we deal with variants of compatible mappings type (K), type (R) and type (E) in G-metric space. At the end, we provide applications of our results.

Some results in Menger space by using sub compatible, faintly compatible mappings

Some results in Menger space by using sub compatible, faintly compatible mappings

Fixed-point theorems in intuitionistic fuzzy metric space

In this paper, common fixed point theorems for occasionally weakly compatible mappings in intuitionistic fuzzy metric space has been proved which is a generalization of the result of Turkoglu et. al. [9]. We also cited an example in support of our result.

Some common fixed point theorems for four self-mappings satisfying a general contractive condition

In the paper, we derive a general case for four weakly compatible self maps satisfying a general contractive condition due to the same method introduced by Altun et al. [2]. We make use of such a study to prove common fixed point theorems for weakly compatible maps along with E.A. and (CLR) properties.

SOME NEW APPLICATIONS OF S-METRIC SPACES BY WEAKLY COMPATIBLE PAIRS WITH A LIMIT PROPERTY

In this note we use a generalization of coincidence point(a property which was defined by [1] in symmetric spaces) to prove common fixed point theorem on S-metric spaces for weakly compatible maps. Also the results are used to achieve the solution of an integral equation and the bounded solution of a functional equation in dynamic programming.

Common fixed point theorems for weakly compatible mappings using generalized ψ-weak contraction

In this paper, first we introduce generalized ψ-weak contraction condition that involves cubic and quadratic terms of distance function d(x,y). Secondly; we discuss common fixed point theorems for weakly compatible and weakly compatible mappings along with property (E.A.) and common limit range property. At the end, we provide an example and an application of our main theorem satisfying integral type contraction condition.

Fixed points for weak contraction involving cubic terms of distance function

The purpose of this paper is to introduce a new weak contraction that involves cubic terms of distance function and using this weak contraction, we prove common fixed point theorems for compatible mappings and its variants.

Theorems on common fixed point of expansive sort of mapping in dislocated Sb-metric space

This write up is mainly focusing on establishing the common fixed point theorem under expansive kind of mapping in dislocated Sb-metric spaces which is a term based on the concept of dislocatedness in Sb metric space. The results are derived for weakly compatible mappings and also by unwinding dSb-continuity of the mapping.

Certain results in b-metric space using subcompatible, faintly compatible mappings

In this paper we prove a common fixed point theorem in b-metric space using faintly compatible, subcompatible, occasionally weakly compatible and reciprocally continuous mappings. Furthermore appropriate examples are provided to support our conclusions.

Common fixed points for generalized ψ-∅-weak contraction in metric space

In this paper, we first prove some common fixed point theorems for weakly compatible mappings, Point wise and R-weakly commuting mappings, Reciprocally continuous Mappings, R-weakly commuting mappings of type (Af), type (Ag), type (P) satisfying a generalized ∅-weak contraction condition that involves cubic terms of . Secondly, we prove common fixed point theorems for weakly compatible mappings along with (E.A) property and (CLR) property. At the last of each theorems, we give corollaries and applications in support of our theorems.

Common Fixed Point Theorems Using Compatible Mappings of Type (R) in Semi-metric Space

In this paper, we establish a common fixed point theorem for three pairs of self mappings in semi-metric space using compatible mappings of type (R) which improves and extends similar known results in the literature.

Common Fixed Point Results in \(C\)-Complete Complex Valued Metric Spaces

In this paper, we establish some common fixed point theorems involving two pairs of weakly compatible mappings satisfying rational inequality in the setting of \(C\)-complex valued metric space. The presented theorems generalize, extend and improve the known results in the literature.

Common Fixed Point Theorems For Weakly Compatible Mappings In Symmetric Spaces

Common Fixed Point Theorems For Weakly Compatible Mappings In Symmetric Spaces

A result on Banach Space using Property E.A

Objective/Aim: To establish the existence of common fixed point theorem for four self-mappings in Banach space. Method: This method includes using weaker conditions like property E.A and weakly compatible mappings. Findings: Unique common fixed point is generated using different conditions. This result is supported by the provision of a suitable example.Novelty/Improvement: The concept of property E.A along with weakly compatible mappings is employed and is weaker than the concept of continuity and compatibility. Keywords: Fixed point; metric space; Normed space; Banach space; EA property; weakly compatible mappings

Some results in multiplicative metric space using absorbing mappings

Objective/Aim: To generate three common fixed point results for four self mappings in complete multiplicative metric space (MMS). Method: The method involves applying of point wise absorbing mappings with different combinations such as complete subspace, reciprocally continuous and compatible mappings and semi-compatible mappings. Findings: All the results are supported by the provision of valid examples. Novelty/Improvement: The concept of reciprocally continuity along with semi compatible mappings is used which is weaker than the concept of continuity and compatibility.

Coupled coincidence and coupled common fixed point theorem in dislocated quasi metric space

The objective of this paper is to establish a theorem involving a pair of weakly compatible mappings fulfilling a contractive condition of rational type in the context of dislocated quasi metric space. Besides we proved the existence and uniqueness of coupled coincidence and coupled common fixed point for such mappings. This work offers extension as well as considerable improvement of some results in the existing literature. Lastly, an illustrative example is given to validate our newly proved results.

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.