Contractive Condition Of Integral Type Research Articles

Some Common Fixed Point Theorem in Complete Metric Space of Integral Type

In this paper, we prove some common fixed point theorems in complete metric spaces for self mapping satisfying a contractive condition of Integral type.

A general fixed point theorem for two pairs of mappings satisfying a mixed implicit relation

Abstract In this paper a general fixed point theorem for mappings with a new type of common limit range property satisfying a mixed implicit relation is proved. In the last part of the paper, as application, some fixed point results for mappings satisfying contractive conditions of integral type and for φ-contractive mappings are obtained.

C- class function on fixed point theorems for contractive mappings of integral type in n-Banach spaces

In this paper, we present some common fixed point theorems for class of mappings satisfying contractive condition of integral type in n-Banach spaces via C-Class function. Our results are version of some known results.

Some conditions implying the existence of coincidence points of a pair of intuitionistic fuzzy mappings

In this article, two novel conditions implying the existence of a pair of intuitionistic fuzzy mappings with an integral type contractive conditions are discussed. An example validating the main result is given. As an application of our result, an existence theorem of solution for a class of nonlinear Volterra equation of the first type is established. This way, the work extends a few existing results in the literature.

Characterizations of contractive conditions by using convergent sequences

We give characterizations of the contractive conditions, by using convergent sequences. Since we use a unified method, we can compare the contractive conditions very easily. We also discuss the contractive conditions of integral type by a unified method.

A General Coincidence and Fixed Point Theorem for Hybrid Pairs of Mappings Satisfying a Common Coincidence Range Property

AbstractIn this paper the notion of common coincidence range property is introduced and a general coincidence and fixed point theorem is proved. As applications, new results for mappings satisfying a contractive condition of integral type and for mappings satisfying a φ-contractive condition are obtained.

New contractive conditions of integral type on complete S-metric spaces

An S-metric space is a three-dimensional generalization of a metric space. In this paper our aim is to examine some fixed-point theorems using new contractive conditions of integral type on a complete S-metric space. We give some illustrative examples to verify the obtained results. Our findings generalize some fixed-point results on a complete metric space and on a complete S-metric space. An application to the Fredholm integral equation is also obtained.

Fixed Point Theorems for the Maps Satisfying Contractive Condition of Integral Type in Metric Spaces

Fixed Point Theorems for the Maps Satisfying Contractive Condition of Integral Type in Metric Spaces

Common Fixed Point Theorems in Metric Space by Altering Distance Function

In the present paper, we prove two theorems. In first theorem, we prove fixed point result for self-maps in the metric space under contractive condition of integral type by altering distance. In second result, we prove a unique common fixed point theorem by considering four sub compatible maps under a contractive condition of integral type.

Fixed-Point Theorems for Integral-Type Contractions on Partial Metric Spaces

We present some fixed-point results for single-valued mappings on partial metric spaces satisfying a contractive condition of integral type.

STRICT COMMON FIXED POINT THEOREMS FOR HYBRID PAIRS OF MAPPINGS VIA ALTERING DISTANCES AND AN APPLICATION

In this paper, we utilize an implicit relation to improve and extend some strict common fixed point results of the existing literature to two pairs of hybrid mappings in 2-metric spaces via altering distances. As an application, we also prove some strict common fixed point theorems for hybrid pairs of mappings satisfy- ing a contractive condition of integral type in 2-metric spaces.

Common fixed point results involving contractive condition of integral type in complex valued metric spaces

Common fixed point results involving contractive condition of integral type in complex valued metric spaces

Fixed Point Theorems in Ordered Generalized Metric Spaces with Integral Type

In this paper, we prove fixed point theorems for weakly compatible self mappings satisfying certain contractive conditions of integral type in G-metric spaces.

Fixed Point Result for αPf,g–Integral Contractive Mappings with Applications

Background/Objectives: In this paper, we introduced the concept of aPf,g integral contractive mappings, which is a new class of integral contractive mappings and using this notion we establish a new fixed point theorem. Findings: Our paper represents a generalization and extension of fixed point theorems for mappings satisfying contractive conditions of integral type where the contractive inequality depends on rational and irrational expression. In particular, we omitted the condition of continuity (which is a very strong condition and appear in almost all papers using contractive mapping of rational type) from many existing results. Application/Improvements: As a direct consequence, some new results of integral type for rational and irrational contraction maps are presented to illustrate our obtained result.

Common fixed point results for weakly compatible mappings under contractive conditions of integral type in complex valued metric spaces

In this manuscript, using (E.A) property and (CLR) property common fixed point results for weakly compatible mappings, satisfying integral type contractive condition in complex valued metric spaces are investigated.

Common fixed point results of a pair of generalized $(\psi,\varphi )$-contraction mappings in modular spaces

AbstractIn this paper, we establish the existence of a common fixed point of almost generalized contractions on modular spaces. As an application, we present some fixed and common fixed point results for such mappings on modular spaces endowed with a graph. The existence of fixed and common points of mappings satisfying generalized contractive conditions of integral type is also obtained in such spaces. Some examples are presented to support the results obtained herein. Our results generalize and extend various comparable results in the existing literature.

Some new fixed point results on intuitionistic fuzzy metric spaces

AbstractFuzzy set theory originated from the fact that reasoning is not crisp and admits degree. This theory plays a leading role in ample field of Science and Technology. In this paper, by utilizing the concept of E.A. and common (E.A) property, we prove new common fixed point theorems on intuitionistic fuzzy metric spaces. Moreover, we extend the main result for finite number of mappings and integral-type contractive condition on intuitionistic fuzzy metric spaces.

Some Integral Type Fixed Point Theorems in Dislocated Metric Space

In this article, we establish a common fixed point theorem satisfying integral type contractive condition for two pairs of weakly compatible mappings with E. A. property and also generalize Theorem (2) of B.E. Rhoades [1] in dislocated metric space.

Common fixed point theorems of integral type contraction on metric spaces and its applications to system of functional equations

AbstractIn this article, using the common $(CLR)$ ( C L R ) property, common fixed point results for two pairs of weakly compatible mappings satisfying contractive condition of integral type on metric spaces are established. Furthermore, the existence and uniqueness of common solution for system of functional equations arising in dynamic programming are discussed as an application of a common fixed point theorem presented in this paper.

English

English