Coupled Coincidence Research Articles

Coupled coincidence best proximity point results for generalized Ciric contractions

In this paper, we define a generalized Ćiric contraction with respect to ℸ and prove some coupled coincidence best proximity point results in the setting of complete metric spaces. We also obtain some coupled best proximity point results for such contractions. We provide an example for the validity of our main result. Our results are the generalization of many results existing in the literature. As an application, we find the solution of the differential equation.

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.

Asymptotically Coupled Coincidence Points and Asymptotically Coupled Fixed Points in Fuzzy Semi-Metric Spaces

Asymptotically coupled coincidence points and asymptotically coupled fixed points in fuzzy semi-metric spaces are studied in this paper. The fuzzy semi-metric space is taken into account, which lacks symmetric conditions. In this case, the desired results are separately investigated based on four different types of triangle inequalities. The uniqueness of asymptotically coupled coincidence points cannot be guaranteed, and it can only be addressed in a weak sense of uniqueness. However, the uniqueness of asymptotically coupled fixed points can be guaranteed using different arguments.

Coupled coincidence points for hybrid pair of mappings via mixed monotone property in bipolar metric spaces

In this paper, we establish a coupled coincidence fixed point results for a hybrid pair of single valued and multivalued mappings satisfying generalized contractive conditions, defined on a partially ordered bipolar metric space. Our results unify, generalize and complement several known comparable results from the current literature. An example is given.

A Generalized Neutrosophic Metric Space and Coupled Coincidence Point Results

A Generalized Neutrosophic Metric Space and Coupled Coincidence Point Results

Using the Supremum Form of Auxiliary Functions to Study the Common Coupled Coincidence Points in Fuzzy Semi-Metric Spaces

This paper investigates the common coupled coincidence points and common coupled fixed points in fuzzy semi-metric spaces. The symmetric condition is not necessarily satisfied in fuzzy semi-metric space. Therefore, four kinds of triangle inequalities are taken into account in order to study the Cauchy sequences. Inspired by the intuitive observations, the concepts of rational condition and distance condition are proposed for the purpose of simplifying the discussions.

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.

Coupled coincidence and coupled common fixed points of a pair for mappings satisfying a weakly contraction type T-coupling in the context of quasi \(\alpha\)b-metric space

Coupled coincidence and coupled common fixed points of a pair for mappings satisfying a weakly contraction type T-coupling in the context of quasi \(\alpha\)b-metric space

Coupled coincidence point results for mappings without mixed monotone property in partially ordered `G`-metric spaces

In this paper, we prove some coupled fixed point theorems for nonlinear contractive mappings which doesn't have the mixed monotone property, in the context of partially ordered `G`-metric spaces. Hence, these results can be applied in a much wider class of problems. Our results improve the result of D. Dori'{c}, Z. Kadelburg and S. Radenovi'{c} [Appl. Math. Lett. (2012)]. We also present two examples to support these new results.

Coupled coincidence point technique and its application for solving nonlinear integral equations in RPOCbML spaces

The aim of this paper is to obtain some new important consequences related to coupled coincidence points via C-class functions in the context of a regular partial ordered complete b-metric-like space (for short, RPOCbML space); this space arises from combining the results of b-metric-like space with partial metric space and adding the regularity condition. Finally, we support our theoretical results by some examples and an application about finding an analytical solution for nonlinear integral equations.

Coupled Coincidence Point for f(ψ, ϕ)−Contractions via Generalized α−Admissible Mappings with an Application

The main objective of this manuscript is to discuss some coupled coincidence point (ccp) results for generalized α- admissible mappings which are f(ψ, φ)- contractions in the context of b-metric spaces (b-ms). Also, an example to support the obtained theoretical theorems is derived. Ultimately, an analytical solution for nonlinear integral equation (nie) is discussed as an application.

Coupled Coincidence Points for F-Contractive Type Mappings in Partially Ordered Metric Spaces

In this article, some coupled coincidence point results for two mappings g: X → X and G: X × X → X satisfying F-contractive type conditions are obtained, and some coupled fixed point results are derived in partially ordered metric spaces. A sufficient condition for uniqueness of coupled point of coincidence are established for F type contraction, and a coupled common fixed point theorem is obtained. Some examples are given to support our results.

Coupled coincidence point results for contraction of $C$-class mappings in ordered uniform spaces

In the literature there is a lot of works related to fixed point theory. The theory has many applications and some authors are interested in these applications in various spaces. In 2009, Altun I. and Imdad M. defined the order relation on uniform spaces and the concept of compatibility of mappings. Later Ansari A.H. defined the $C$-class function concept. In this paper, we take some ultra altering distance and $C$-class functions, then we prove some coupled coincidence point theorems for a mapping providing mixed $g$-monotonicity property in ordered uniform spaces. We also give the appropriate examples.

Coupled Coincidence Point and Fixed Point Results for Mixed Monotone Mappings and an Application to Integro-differential Equations

In this paper, we propose some new coupled coincidence point and fixed point theorems for the mappings F and g. Our results are obtained by exploring the corresponding initial value problems for the mapping F and weakening the involved contractive conditions. As an application, we study the existence and uniqueness of solution to integro-differential equations.

Some New Coupled Coincidence Point and Coupled Fixed Point Results in Partially Ordered Metric-Like Spaces and an Application

Some new coupled coincidence point and coupled fixed point theorems are established in partially ordered metric-like spaces, which generalize many results in corresponding literatures. An example is given to support our main results. As an application, we discuss the existence of the solutions for a class of nonlinear integral equations.

New Common Coupled Coincidence Point Theorems for Generalized Weakly Contraction Mappings with Applications to Dynamic Programming

In this paper, we define a new concept of generalized weakly contraction mapping for coupled common fixed points in the space of the bounded function. We also prove the existence and uniqueness theorems for common coupled fixed points. As an application of our result, we also study the problem of existence and uniqueness of solutions for a class of system of functional equations which appears in dynamic programming.

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

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

Coupled coincidence and coupled common fixed point theorems on a fuzzy metric space with a graph

Inspired by the work of Dakjum et al. [Eshi, D., Das, P. K. and Debnath, P., Coupled coincidence and coupled common fixed point theorems on a metric space with a graph, Fixed Point Theory Appl., 37 (2016), 1–14], we introduce a new class of G − f−contraction mappings in complete fuzzy metric spaces endowed with a directed graph and prove some existence results for coupled coincidence and coupled common fixed point theorems of this type of contraction mappings in complete fuzzy metric spaces endowed with a directed graph.

Coupled coincidence point and common coupled fixed point theorems in complex valued metric spaces

In this paper, we introduce the concept of a w-compatible mappings and utilize the same to discuss the ideas of coupled coincidence point and coupled point of coincidence for nonlinear contractive mappings in the context of complex valued metric spaces besides proving existence theorems which are following by corresponding unique coupled common fixed point theorems for such mappings. Some illustrative examples are also given to substantiate our newly proved results.

Coupled coincidence point results in partially ordered JS-metric spaces

Coupled coincidence point results in partially ordered JS-metric spaces