Coincidence Point Results Research Articles

Coincidence Point Results for a New Class of Fuzzy Contractive Mappings

This work is mainly aimed to enhance the concept of fuzzy Z-contractive mapping [11] by establish a different contraction called fuzzy (Z,g)- contraction. we obtain some sufficient conditions for the existence and uniqueness of point of coincidence of fuzzy (Z,g)- contraction mappings in the context of fuzzy metric spaces and prove some intriguing results.

3-Dimensional computational analysis of [formula omitted]-contraction in GV-fuzzy metric spaces with applications

It is a well known fact that contraction conditions play a major role in composing coincidence point results. In present work, a new ϕ-contraction is being corroborated to yield coupled coincidence points in partially ordered GV-fuzzy metric spaces. Due to the significant feature of H-type t-norm, in this communication, we endue GV-fuzzy metric spaces with this t-norm. We use the mixed monotone property of mappings with regard to partial ordering. Present work generalizes some already existing results. An applied example is also formulated to cast the 3-dimensional analysis of ϕ-contraction utilized in the main result. Computational analysis of the illustrative example has been done using the software MATLAB version R2022b which shows the experimental verification of our work. Furthermore, applications to the solution of the system of Fredholm type integral equations and solution of the system of equations in dynamic programming accords the validity of the present work. Endmost, the concluding remark projects the significance of current work.

Coincidence Point Results for Self‐Mapping With Extended Rational Contraction in Partially Ordered Ultrametric Spaces Using p‐Adic Distance

This paper aims to investigate new coincidence point theorems for self‐maps under an extended rational contraction. Our approach uses the p‐adic distance in partially ordered ultrametric spaces. Furthermore, to illustrate our major discoveries, we give a comprehensive numerical analysis. This study expands on prior research in partially ordered ultrametric spaces to provide a more comprehensive understanding of such spaces using rational contraction.

Coincidence point theorems in some generalized metric spaces

"Let (X, d) be a complete dislocated metric space, (Y, ρ) be a semimetric space and f, g : X → Y be two mappings. Several coincidence point results are obtained for singlevalued and multivalued mappings. Keywords: Dislocated metric space, semimetric space, singlevalued and multivalued mapping, comparison function, comparison pair, lower semi-continuity, coincidence point displacement functional, iterative approximation of coincidence point, weakly Picard mapping, pre-weakly Picard mapping."

Existence, Approximation and Stability of Fixed Point for Cirić Contraction in Convex b-Metric Spaces

We establish a new fixed point theorem in the setting of convex b-metric spaces that ensures the existence of fixed point for Cirić contraction with the assumption k<1s2. Also, the fixed point is approximated by Krasnoselskij iterative procedure. Moreover, we discuss the stability of fixed point for the aforesaid contraction. As a consequence, we develop a common fixed point and coincidence point result. Finally, we provide a number of examples to illustrate the findings presented here and incorporate these findings to solve an initial value problem.

Addressing an open problem of Choudhury et al. “Fuzzy Sets Syst. 8 (2013), 84-97”

The question of relaxing the compatible hypothesis of the pair of mappings in fixed point theory has always been remained an open problem. We address such an open problem raised by Choudhury et al. [4] and also explicitly settles the issue of monotone and continuity hypotheses of the involved mappings in coupled coincidence point results. Moreover, we state a gap in an example given in [3] and repair it. Application to the dynamic programming problem shows the usability of present work. Finally, we also propose an open problem for further investigation.

MULTIVALUED COUPLED COINCIDENCE POINT RESULTS IN METRIC SPACES

In this paper, we use an inequality involving a coupled multivalued mapping and a singlevalued mapping to obtain a coupled coincidence point theorem. We discuss special conditions under which coupled common fixed point theorems are obtained. The result combines several ideas prevalent in fixed point theory studies. There are several corollaries and illustrative examples. The Hausdorff-Pompeiu metric between sets is used. The work is in the context of metric spaces and is a part of set-valued analysis with the singlevalued consequences.

Coincidence Point Results in Hausdorff Rectangular Metric Spaces with an Application to Lebesgue Integral Function

In this paper, we were able to produce certain coincidence point results for g-nondecreasing selfmappings fulfilling certain rational type contractions in a Hausdorff rectangular metric space utilizing C-functions and generalized (θ, φ)-contractive mappings obeying an admissibility-type assumption.

Coincidence Point Results in Ordered Metric Spaces and its Application

In this paper, we establish some coincidence point theorems of nonlinear rational contractions in a complete partially ordered metric space. Some consequences of the results are presented in terms of integral contractions and few examples are illustrated to support the results. As an application, we proved the existence of a unique solution to an integral equation.

Coincidence point results of nonlinear contractive mappings in partially ordered metric spaces

In this paper, we proved some coincidence point results for \(f\)- nondecreasing self-mapping satisfying certain rational type contractions in the context of a metric space endowed with a partial order. Moreover, some consequences of the main result are given by involving integral type contractions in the space. Some numerical examples are illustrated to support our results. As an application, we have discussed the existence of a unique solution of integral equation.

A Generalized Neutrosophic Metric Space and Coupled Coincidence Point Results

A Generalized Neutrosophic Metric Space and Coupled Coincidence Point Results

Coincidence Point Results for Different Types of $ H_b^{+} $-contractions on $m_b$-Metric Spaces

In this paper, we give some properties of $m_b$-metric topology and prove Cantor's intersection theorem in $m_b$-metric spaces. Moreover, we introduce some newclasses of $H_b^+ $-contractions for a pair of multi-valued and single-valued mappings and discuss their coincidence points. Some examples are provided to justify the validity of our main results.

Nonunique Coincidence Point Results via Admissible Mappings

This paper is aimed at presenting some coincidence point results using admissible mapping in the framework of the partialb-metric spaces. Observed results of the article cover a number of existing works on the topic of “investigation of nonunique fixed points.” We express an example to indicate the validity of the observed outcomes.

Probabilistic $ (\omega, \gamma, \phi) $-contractions and coupled coincidence point results

<abstract><p>In this paper, we introduce the notion of probabilistic $ (\omega, \gamma, \phi) $-contraction and establish the existence coupled coincidence points for mixed monotone operators subjected to the introduced contraction in the framework of ordered Menger $ PM $-spaces with Had${\rm{\mathord{\buildrel{\lower3pt\hbox{$\scriptscriptstyle\smile$}} \over z} }}$ić type $ t $-norm. As an application, a corresponding result in the setup of fuzzy metric space is also obtained.</p></abstract>

Coincidence Point Results for Multivalued Suzuki Type Mappings Using θ-Contraction in b-Metric Spaces

In this paper, we introduce the concept of coincidence best proximity point for multivalued Suzuki-type α -admissible mapping using θ -contraction in b-metric space. Some examples are presented here to understand the use of the main results and to support the results proved herein. The obtained results extend and generalize various existing results in literature.

On Fixed Point Results in Gb-Metric Spaces

The purpose of this paper is to consider various results in the context of G b -metric spaces that have been recently published after the paper (Aghajani, A.; Abbas, M.; Roshan, J.R. Common fixed point of generalized weak contractive mappings in partially ordered G b -metric spaces. Filomat 2014, 28, 1087–1101). Our new results improve, complement, unify, enrich and generalize already well known results on G b -metric spaces. Moreover, some coupled and tripled coincidence point results have been provided.

Optimal Approximate Solution of Coincidence Point Equations in Fuzzy Metric Spaces

The purpose of this paper is to introduce α f -proximal H -contraction of the first and second kind in the setup of complete fuzzy metric space and to obtain optimal coincidence point results. The obtained results unify, extend and generalize various comparable results in the literature. We also present some examples to support the results obtained herein.

N-tupled Coincidence Point Results for Nonlinear Contraction in Partially Ordered Complete Metric Spaces

n-tupled Coincidence Point Results for Nonlinear Contraction in Partially Ordered Complete Metric Spaces

Coupled Coincidence Point Results in Ordered $b$-Metric Spaces with Application

Coupled Coincidence Point Results in Ordered $b$-Metric Spaces with Application

Tripled Coincidence Point Results for $(\psi,\varphi)$-weakly Contractive Mappings in Partially Ordered S-matric Spaces

In this paper, the notion of $ S $-metric spaces will be introduced. We present a some tripled coincidence point results for a mixed $ g $-monotone mappings $ F : X^{3} \rightarrow X $ satisfying $ (\psi,\varphi) $-contractions in partially ordered complete $ S $-metric spaces. Also an application and some example are given to support our results.