scholarly journals Some fixed points of α-Meir-Keeler contraction mappings in Gb-metric spaces

2022 ◽  
Keyword(s):  
Fixed Points ◽  
Metric Spaces ◽  
Contraction Mappings

scholarly journals Common fixed points of multivalued F-contractions on metric spaces with a directed graph

2016 ◽  
Vol 32 (1) ◽  
pp. 1-12
Author(s):  
MUJAHID ABBAS ◽  
◽  
MONTHER R. ALFURAIDAN ◽  
TALAT NAZIR ◽  
◽  
...  
Keyword(s):  
Fixed Points ◽  
Directed Graph ◽  
Metric Space ◽  
Metric Spaces ◽  
Common Fixed Points ◽  
Contraction Mappings

In this paper, we establish the existence of common fixed points of multivalued F-contraction mappings on a metric space endowed with a graph. An example is presented to support the results proved herein. Our results unify, generalize and complement various known comparable results in the literature.

scholarly journals Existence and Uniqueness of Fixed Points of Generalized F-Contraction Mappings

2021 ◽  
Vol 2021 ◽  
pp. 1-9
Author(s):  
A. P. Farajzadeh ◽  
M. Delfani ◽  
Y. H. Wang
Keyword(s):  
Fixed Points ◽  
Existence And Uniqueness ◽  
Metric Spaces ◽  
Admissible Function ◽  
Simulation Function ◽  
Contraction Mappings ◽  
Complete Metric Spaces ◽  
Banach Contraction

The newest generalization of the Banach contraction through the notions of the generalized F-contraction, simulation function, and admissible function is introduced. The existence and uniqueness of fixed points for a self-mapping on complete metric spaces by the new constructed contraction are investigated. The results of this article can be viewed as an improvement of the main results given in the references.

Coupled points for total weakly contraction mappings via ρ-distance

2016 ◽  
Vol 5 (3) ◽  
pp. 164
Author(s):  
Salwa Abed ◽  
Hiba Adel Jabbar
Keyword(s):  
Fixed Point ◽  
Fixed Points ◽  
Common Fixed Point ◽  
Metric Spaces ◽  
Coincidence Points ◽  
Contraction Mappings ◽  
Coupled Fixed Points

In this paper, the total weakly contraction mappings and T-total weakly contraction mappings are defined with respect to ρ-distance. The concepts of mixed monotone and general mixed monotone are used to prove some theorems about coupled fixed points, common fixed point and coincidence points for these mappings in partially general b-metric spaces which equipped with ρ-distance.

scholarly journals Types of Fixed Points of Set-Valued Contraction Mappings for Comparable Elements

2020 ◽  
pp. 190-195
Author(s):  
Shaimia Qais Latif ◽  
Salwa Salman Abed
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Fixed Points ◽  
Point Theorem ◽  
Metric Spaces ◽  
Coupled Fixed Point ◽  
Ordered Metric Spaces ◽  
Contraction Mappings ◽  
Coupled Fixed Point Theorem ◽  
Contraction Condition

This paper is concerned with the study of the fixed points of set-valued contractions on ordered metric spaces. The first part of the paper deals with the existence of fixed points for these mappings where the contraction condition is assumed for comparable variables. A coupled fixed point theorem is also established in the second part.

scholarly journals Fixed Point Results for Generalized Contraction Mappings and Cyclical Mappings in b-Metric Spaces Endowed with a Digraph

2019 ◽  
Vol 57 (2) ◽  
pp. 86-102
Author(s):  
Sushanta Kumar Mohanta ◽  
Deep Biswas
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Fixed Points ◽  
Point Theorem ◽  
Metric Spaces ◽  
Generalized Contraction ◽  
Contraction Mappings

Abstract In this paper, we establish a fixed point theorem for generalized contraction mappings in b-metric spaces endowed with a digraph. As an application of this result, we obtain fixed points of cyclical mappings in the setting of b-metric spaces. Our results extend and generalize several existing results in the literature.

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