scholarly journals Common Fixed Point Results for Fuzzy Mappings on Complex-Valued Metric Spaces with Homotopy Results

Symmetry ◽  
2019 ◽  
Vol 11 (1) ◽  
pp. 61 ◽  
Author(s):  
Humaira ◽  
Muhammad Sarwar ◽  
Poom Kumam
Keyword(s):  
Fixed Point ◽  
Common Fixed Point ◽  
Metric Space ◽  
Metric Spaces ◽  
Contractive Condition ◽  
Rational Expression ◽  
Complex Valued Metric Space ◽  
Homotopy Result ◽  
Complex Valued

Owing to the notion of a complex-valued metric space, we prove fixed point results, which generalize some common fixed point results under contractive condition for rational expression in the context of complex-valued metric spaces. In application, we present a homotopy result to apply the results obtained herein.

scholarly journals Common fixed point results in complex valued metric spaces with application to integral equations

Filomat ◽  
2014 ◽  
Vol 28 (7) ◽  
pp. 1363-1380 ◽  
Author(s):  
N. Hussain ◽  
Akbar Azam ◽  
Jamshaid Ahmad ◽  
Muhammad Arshad
Keyword(s):  
Fixed Point ◽  
Common Fixed Point ◽  
Integral Equations ◽  
Metric Space ◽  
Metric Spaces ◽  
Contractive Condition ◽  
Complex Valued Metric Space ◽  
Complex Valued

In this paper, common fixed point of six mappings satisfying a contractive condition involving rational inequality in the framework of complex valued metric space are obtained. Moreover, some examples and applications to integral equations are given here to illustrate the usability of the obtained results.

scholarly journals FIXED POINT THEORY IN COMLEX VALUED METRIC SPACE

2021 ◽  
Vol 23 (07) ◽  
pp. 846-852
Author(s):  
Abhishek Koundal ◽  
Keyword(s):  
Fixed Point ◽  
Common Fixed Point ◽  
Metric Space ◽  
Metric Spaces ◽  
Fixed Point Theory ◽  
Point Theory ◽  
Distance Functions ◽  
Control Functions ◽  
Complex Valued Metric Space ◽  
Complex Valued

The aim of this paper is to establish and prove several results on a common fixed point for a pair of mappings satisfying more general contraction conditions portrayed by rational expressions having point-dependent control functions as coefficients in complex-valued metric spaces. Fixed point theory in complex-valued metric space using contractive conditions, rational inequality, common limit range property for two pairs of mapping deriving common fixed-point results under a generalized altering distance functions, E.A and CLR property. Obtaining consecutive approximations to the fixed point of an approximate mapping is the goal of a variety of processes in numerical analysis and approximation theory. Our goal in this paper is to examine fixed point theory and its applications in metric spaces, as well as to develop several fixed-point theorems in entire metric spaces that generalize many renowned mathematicians’ achievements.

scholarly journals Common Fixed Point Theorems of Compatible Maps in Complex Valued b-Metric Spaces

2020 ◽  
Vol 12 (4) ◽  
pp. 431-446
Author(s):  
G. Yadav ◽  
R. K. Sharma ◽  
G. L. Prajapati
Keyword(s):  
Fixed Point ◽  
Common Fixed Point ◽  
Metric Space ◽  
Metric Spaces ◽  
Contractive Condition ◽  
Weak Compatibility ◽  
Complex Valued ◽  
Common Fixed Point Theorems ◽  
Common Fixed Point Theorem ◽  
Rational Type

In a paper Mukheimer established some results regarding common fixed point of two self mappings in a complex valued b-metric space satisfying a rational type contractive condition. In this paper we have established a common fixed point theorem by making use of compatibility and weak compatibility of self mappings satisfying generalized rational inequality of four mappings as opposed to two self mappings in a complex valued b – metric space. Some concrete examples have also been presented to verify the effectiveness and applicability of established results. Towards the end, an application to solution of Urysohn’s integral equations has also been presented to substantiate the usability of the obtained results. Results of this paper generalize the results of Mukheimer and some other earlier results. Theorems approved in this article will be supportable for researchers to work on rational contractions with more than two pair of self mappings.  

scholarly journals Common Fixed Point Results for Six Mappings via Integral Contractions with Applications

2016 ◽  
Vol 2016 ◽  
pp. 1-13 ◽  
Author(s):  
Mian Bahadur Zada ◽  
Muhammad Sarwar ◽  
Nayyar Mehmood
Keyword(s):  
Fixed Point ◽  
Common Fixed Point ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Type Inequality ◽  
Dynamical Programming ◽  
System Of Functional Equations ◽  
Complex Valued Metric Space ◽  
Complex Valued ◽  
Common Fixed Point Theorems

Common fixed point theorems for six self-mappings under integral type inequality satisfying (E.A) and (CLR) properties in the context of complex valued metric space (not necessarily complete) are established. The derived results are new even for ordinary metric spaces. We prove existence result for optimal unique solution of the system of functional equations used in dynamical programming with complex domain.

scholarly journals Common Fixed Point Theorems in Intuitionistic Generalized Fuzzy Cone Metric Spaces

Mathematics ◽  
2020 ◽  
Vol 8 (8) ◽  
pp. 1212
Author(s):  
Mathuraiveeran Jeyaraman ◽  
Mookiah Suganthi ◽  
Wasfi Shatanawi
Keyword(s):  
Fixed Point ◽  
Common Fixed Point ◽  
Metric Space ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Cone Metric Space ◽  
Contractive Condition ◽  
Cone Metric Spaces ◽  
Common Fixed Point Theorems ◽  
Cone Metric

In the present work, we study many fixed point results in intuitionistic generalized fuzzy cone metric space. Precisely, we prove new common fixed point theorems for three self mappings that do not require any commutativity or continuity but a generalized contractive condition. Our results are generalizations for many results in the literature. Some examples are given to support these results.

Some Fixed Point Theorems Under Contractive Type Conditions in Complex Valued Metric Spaces

2017 ◽  
Vol 84 (1-2) ◽  
pp. 96
Author(s):  
G. S. Saluja
Keyword(s):  
Fixed Point ◽  
Common Fixed Point ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Rational Expression ◽  
Contractive Type ◽  
Complex Valued ◽  
Common Fixed Point Theorems

The purpose of this paper is to establish some fixed point and common fixed point theorems under contractive type conditions involving rational expression in the setting of complex valued metric spaces. The results presented in this paper extend and generalize some previous works from the existing literature.

scholarly journals Common Fixed Point Results for Four Mappings on Partial Metric Spaces

2012 ◽  
Vol 2012 ◽  
pp. 1-11 ◽  
Author(s):  
A. Duran Turkoglu ◽  
Vildan Ozturk
Keyword(s):  
Fixed Point ◽  
Common Fixed Point ◽  
Metric Space ◽  
Metric Spaces ◽  
Partial Metric Space ◽  
Contractive Condition ◽  
Partial Metric ◽  
Partial Metric Spaces

We give fixed point results for four mappings which satisfy almost generalized contractive condition on partial metric space and we support the results with an example.

scholarly journals Common Fixed Points of Generalized Cocyclic Mappings in Complex Valued Metric Spaces

2015 ◽  
Vol 2015 ◽  
pp. 1-11 ◽  
Author(s):  
Mujahid Abbas ◽  
Manuel De la Sen ◽  
Talat Nazir
Keyword(s):  
Fixed Point ◽  
Common Fixed Point ◽  
Metric Spaces ◽  
Nonempty Subset ◽  
Common Fixed Points ◽  
Compatible Mappings ◽  
Weakly Compatible ◽  
Contractive Type ◽  
Complex Valued Metric Space ◽  
Complex Valued

We present fixed point results of mappings satisfying generalized contractive conditions in complex valued metric spaces. As an application, we obtain a common fixed point of a pair of weakly compatible mappings. Some common fixed point results of generalized contractive-type mappings involved in cocyclic representation of a nonempty subset of a complex valued metric space are also obtained. Some examples are also presented to support the results proved herein. These results extend and generalize many results in the existing literature.

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