Common Fixed Point Theorems Research Articles

COMMON FIXED POINT THEOREM FOR WEAKLY COMPATIBLE MAPPINGS IN DIGITAL METRIC SPACE

In this paper, a common fixed point theorem for a pair of weakly compatible mappings in the setting of digital metric space is proved with a supportive example. Our result extends and improves the result of Ozgur Ege et al. [2].

Common Fixed Point Theorems Using Subcompatible and Subsequentially Continuous Mappings on Partial Metric Spaces

Common Fixed Point Theorems Using Subcompatible and Subsequentially Continuous Mappings on Partial Metric Spaces

Common Fixed Point Theorems for Weakly Compatible Maps Satisfying Integral Type Contraction in G-Metric Spaces

Common Fixed Point Theorems for Weakly Compatible Maps Satisfying Integral Type Contraction in G-Metric Spaces

Weakly Commutative Mappings and Common Fixed-Point Theorem in Digital Metric Space

Weakly Commutative Mappings and Common Fixed-Point Theorem in Digital Metric Space

Some common fixed point theorems of p- contraction and (α, β) composition contraction in Generalized Banach space

In this work, we introduce Some common fixed point theorems of contraction and (α, ) composition contraction in Generalized Banach space. The provided theorem is a generalization and extension of many well-known theorems.

Some critical remarks on recent results concerning $\digamma-$contractions in $b$-metric spaces

This paper aims to correct recent results on a generalized class of $\digamma-$contractions in the context of $b-$metric spaces. The significant work consists of repairing some novel results involving $\digamma-$contraction within the structure of $b$-metric spaces. Our objective is to take advantage of the property $(F1)$ instead of the four properties viz. $(F1)$, $(F2)$, $(F3)$ and $(F4)$ applied in the results of Nazam \textit{et al.} [``Coincidence and common fixed point theorems for four mappings satisfying $(\alpha_s,F)-$contraction", Nonlinear Anal: Model. Control., vol. 23, no. 5, pp. 664--690, 2018]. Our approach of proving the results utilizing only the condition $(F1)$ enriches, improves, and condenses the proofs of a multitude of results in the existing state-of-art.

Some New Type of Contraction and Common Fixed Point Theorem in Fuzzy Metric Space 2022

The main objective of writing this research paper is to prove the Common Fixed Point Theorem in Fuzzy Metric Space with a new type of contraction

Common Fixed Point Theorem for (\(\phi\),\(\mathfrak{F}\))–Multi-Valued Mappings in Cone b-Metric Spaces over Banach Algebra

In the present paper, we introduced the concept of generalized multi-valued contraction mappings, via the class functions \(\Phi\) and \(\Psi\) Also we proved some fixed point results for (\(\phi\),\(\mathfrak{F}\))- multi-valued mappings on cone b-metric spaces over Banach algebra \(\mathfrak{V}\). The conditions for existence and uniqueness of the fixed point are investigated. We give an example to support our main result.

Common fixed point theorem for pair of quasi triangular α-orbital admissible mappings in complete metric space with application

In this paper, we establish a common fixed point theorem for pair of quasi triangular α-orbital admissible with an interpolative (φ, ψ)- Banach-Kannan-Chatterjea type Z-contraction mappings with respect to simulation function in complete metric space. An illustrative example is furnished to validate our main result. Our result extends the result of M. S. Khan et al. [15]. As an application, we provide the existence of a solution for a nonlinear Fredholm integral equations.

Common Fixed Point Results for Suzuki Type Contractions on Partial Metric Spaces with an Application

In this article, we prove a common fixed point theorem for Suzuki type contractions on complete partial metric spaces. Moreover, we state some corollaries related to Suzuki type common fixed point theorem. And we give an example where we apply our main theorem on complete partial metric spaces. Finally, to show usability of our results, we give its an application showing existence and uniqueness of a common solution for a class of functional equations in dynamic programming.

Common Fixed Point Theorem for Hardy-Rogers Contractive Type in Cone 2-Metric Spaces and Its Results

Common Fixed Point Theorem for Hardy-Rogers Contractive Type in Cone 2-Metric Spaces and Its Results

A Unique Common Fixed Point Theorem for a Metric Space with the Property (E.A)

A Unique Common Fixed Point Theorem for a Metric Space with the Property (E.A)

Common fixed-point theorems for non-linear non-self contractive mappings in convex metric spaces

Abstract In this article, two pairs of non-self mappings satisfying a collection of non-linear contractive conditions in convex metric space are considered to prove a common fixed-point theorem. An appropriate example is provided to support the results proved herein. In addition, we have proved a theorem as an application of our main result. Our results generalize and extend several existing theorems in the literature.

SOME FIXED POINT THEOREMS FOR OCCASIONALLY WEAKLY COMPATIBLE MAPPINGS RELATED WITH FUZZY-2 AND FUZZY-3 METRIC SPACES

In this paper, we give some definitions of occasionally weakly compatible maps in fuzzy-2 metric and fuzzy-3 metric spaces and some common fixed point theorems for six mappings under the condition of occasionally weakly compatible mappings in complete Fuzzy-2 and Fuzzy-3 matric spaces. 2010 Mathematics Subject Classification: Primary 47H10, 54H25

Coincidence Theorems under Generalized Nonlinear Relational Contractions

After the appearance of relation-theoretic contraction principle due to Alam and Imdad, the domain of fixed point theory applied to relational metric spaces has attracted much attention. Existence and uniqueness of fixed/coincidence points satisfying the different types of contractivity conditions in the framework of relational metric space have been studied in recent times. Such results have the great advantage to solve certain types of matrix equations and boundary value problems for ordinary differential equations, integral equations and fractional differential equations. This article is devoted to proving the coincidence and common fixed point theorems for a pair of mappings (T,S) employing relation-theoretic (ϕ,ψ)-contractions in a metric space equipped with a locally finitely T-transitive relation. Our results improve, modify, enrich and unify several existing coincidence points as well as fixed point results. Several examples are provided to substantiate the utility of our results.

Common Fixed Point Results of Suzuki-type Rational Zψ-contractions

In this paper, we combine the (α, β)-admissible mappings and the simulation function in this paper to create the generalized version of Suzuki - type rational Zψ-contraction mapping. This notion is also employed in the setting of metric spaces to get some common fixed point theorems. Appropriate examples are also provided to validate the results acquired.

Common Fixed Point Theorem for Six Self-Mappings Satisfying CLR Property via A - Class Functions in Fuzzy Metric Space

The main objective of this paper is to prove common fixed point theorems for two pairs of weakly compatible mappings satisfying CLR property in the framework of KM and GV fuzzy metric space by using a new theory of A – class functions.

COMMON FIXED POINT THEOREMS FOR PAIR OF MAPS OF INTEGRAL TYPE IN MODULAR METRIC SPACES

In this paper we study and prove the existence of some common fixed point theorems for two pairs of compatible, weakly compatible and occasionally weakly compatible mappings of integral type in modular metric spaces. Our results extend and generalize the results of Azadifar et al. [2], Rashwan and Hammad [28], Rahimpoor et.al. [27], and Pariya Aklesh et. al. [25], Abdou, A. and Khamsi,[1], Chirasak [5], Nawab [24], Hanna, et al [10].

A SINGLE MUTUAL FIXED POINT THEOREM USING Փ- CONTRACTION IN PARTIAL –b– METRIC SPACES

In this paper we proved a common fixed point theorem by using Փ- contraction condition and also provided an example which supports our main result.

Solution of Fredholm Integral Equation via Common Fixed Point Theorem on Bicomplex Valued B-Metric Space

The notion of symmetry is the main property of a metric function. The area of fixed point theory has a suitable structure for symmetry in mathematics. The goal of this paper is to find fixed point and common fixed point results in a bicomplex valued b-metric space for mixed type rational contractions with control functions. Some well-known literature findings were generalized in our main findings. We provide an example to strengthen and validate our main results. As an example, in the context of bicomplex-valued b-metric space, we develop fixed point and common fixed point results for the rational contraction mapping.