Common Fixed Point Theorems Research Articles

Coupled fixed point theorems for mappings satisfying rational type conditions in partially ordered metric spaces

We prove coupled coincidence and coupled common fixed point theorems for mapping [Formula: see text] and mixed strict [Formula: see text]- monotone mappings in partially ordered metric spaces satisfying rational type conditions.

Common fixed point theorems in modular metric spaces with applications to nonlinear integral equation of Urysohn type

Common fixed point theorems in modular metric spaces with applications to nonlinear integral equation of Urysohn type

Common Fixed Point Theorems for Two Mappings in Complete b-Metric Spaces

Our paper is devoted to the issue of the existence and uniqueness of common fixed points for two mappings in complete b-metric spaces by virtue of the new functions F and θ, respectively. Moreover, two specific examples to indicate the validity of our results are also given. Eventually, the generalized forms of Jungck fixed point theorem in the above spaces is investigated. Different from related literature, the conditions that the function F needs to satisfy are weakened, and F only needs to be non-decreasing in this paper. To some extent, our conclusions and methods improve the results of previous literature.

A generalized common fixed point theorem in complex valued $b-$metric spaces

In this work we are interested in the generalization of coincidence point and fixed point theorem for a 4-tuple of mappings satisfying a new type of implicit relation in complex valued $b-$metric spaces.

Fixed Point Results in Controlled Metric Spaces with Applications

The aim of this paper is to obtain some common fixed point theorems for generalized contractions involving certain control functions in controlled metric space and derive some generalized fixed point results as a consequence of our main results. We also prove some common fixed point theorems in controlled metric spaces endowed with a graph. Our results will generalize and amend many famous results from the literature. We also provide an example to show the authenticity of the established results. As an application of our main result, we investigate the solution of integral equations.

Fixed Point Results on Partial Modular Metric Space

In the present paper, we refine the notion of the partial modular metric defined by Hosseinzadeh and Parvaneh to eliminate the occurrence of discrepancies in the non-zero self-distance and triangular inequality. In support of this, we discuss non-trivial examples. Finally, we prove a common fixed-point theorem for four self-mappings in partial modular metric space and an application to our result; the existence of a solution for a system of Volterra integral equations is discussed.

Fixed point theorems for modified generalized F-contraction in G-metric spaces

In this paper, we introduce new notions of generalized F-contractions of type(S) and type(M) in G-metric spaces. Some common fixed point theorems are proved using these notions. A suitable example is also provided to support our results.

Common fixed point for multivalued ($\psi$-$G$)-contraction mappings in partial metric spaces with a graph structure

In the present work, we first discuss the definition of a multivalued ($\psi$-$G$)-contraction mapping in a metricspace endowed with a graph as introduced in \cite{1} and we suggest a generalization. Then, we prove a common fixed point theorem for multivalued ($\psi$-$G$)-contraction mappings in partial metric spaces endowed with a graph. An example of application illustrates the main existence result and some known existence results are derived.

COMMON FIXED POINT THEOREM FOR TWO MAPPINGS IN bi-b-METRIC SPACE

In this paper we have used the concept of bi-metric space and intoduced the concept of bi-b-metric space. our objective is to obtain the common fixed point theorems for two mappings on two different b-metric spaces induced on same set X. In this paper we prove that on the set X two b-metrics are defined to form two different b-metric spaces and the two mappings defined on X have unique common fixed point.

New common fixed point theorems for Górnicki-type mappings and enriched contractions

New common fixed point theorems for Górnicki-type mappings and enriched contractions

An Approach of Integral Equations in Complex-Valued b -Metric Space Using Commuting Self-Maps

This paper is aimed at establishing some unique common fixed point theorems in complex-valued b -metric space under the rational type contraction conditions for three self-mappings in which the one self-map is continuous. A continuous self-map is commutable with the other two self-mappings. Our results are verified by some suitable examples. Ultimately, our results have been utilized to prove the existing solution to the two Urysohn integral type equations. This application illustrates how complex-valued b -metric space can be used in other types of integral operators.

New distance in cone S -metric spaces and common fixed point theorems

In this work, we define a new distance called \(c_s\)-distance in a cone \(S\)-metric space with some properties. Then, we prove some common fixed point and fixed point theorems for self-mappings with this distance. After that, we obtain some common fixed point and fixed point results in the setting of cone \(S\)-metric spaces. We give some examples to support our work.

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

An Affirmative Result on Banach Space

The aim of this paper is to establish a common fixed point theorem on Banach space using occasionally weakly compatible (OWC) mappings.

Outcomes of Common Fixed Point Theorems in S-metric Space

In the present paper, we establish the existence of two unique common fixed point theorems with a new contractive condition for four self-mappings in the S-metric space. First, we establish a common fixed-point theorem by using weaker conditions such as compatible mappings of type-(E) and subsequentially continuous mappings. Further, in the next theorem, we use another set of weaker conditions like sub-compatible and sub-sequentially continuous mappings, which are weaker than occasionally weak compatible mappings. Moreover, it is observed that the mappings in these two theorems are sub-sequentially continuous, but these mappings are neither continuous nor reciprocally continuous mappings. These two results will extend and generalize the existing results of [7] and [9] in the S-metric space. Furthermore, we also provide some suitable examples to justify our outcomes.

Fixed points for weakly compatible maps with EA and CLR properties

Common fixed point theorems using weakly compatible maps with E.A property as well as common limit range property have been established for the mappings satisfying generalized contraction condition. For the validation of the results an application as well as an example has been given.

Fixed point theorem for a sequence of multivalued nonself mappings in metrically convex metric spaces

Abstract In this paper, a common fixed point theorem is demonstrated for a sequence of multivalued mappings which satisfy certain requirements in complete metric spaces. The results proved here will generalize and extend the results due to Ćirić [1]. Suitable examples are given at the end to support the results proved herein.

Fuzzy Metric Space and Sequel of Common Fixed Point Theorem Using Property E.A.

In the present article, proved a common fixed point theorem in fuzzy metric space using property E.A. for a pair of weakly compatible maps.

Common fixed point theorems in ordered ab–metric spaces

In this paper, we establish some results on the existence and uniqueness of common fixed point theorems in partially ordered Ab -metric spaces. Examples and application also are presented in support of the obtained results.

Pairs of Compatible Type (B) Mappings and Fixed Point Theory in Banach Space

The present review article is a enhancement of fixed point theorems for two pairs of compatible type (B) mappings with two pairs of weakly compatible mappings in Banach space. The present paper divided into two parts, in first part we have generalized a common fixed point theorem for two pairs of compatible type (B) mappings and in second part we mapped a common fixed point theorem for two pairs of weakly compatible mappings in Banach space using a special type contractive condition usually named square inequality.