scholarly journals Functional-Type Caristi–Kirk Theorem on Menger Space and Application

2020 ◽  
Vol 2020 ◽  
pp. 1-8
Author(s):  
Soumia Chaira ◽  
Mohammed Dahmouni ◽  
Abderrahim Eladraoui ◽  
Mustapha Kabil
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Functional Equations ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Functional Type ◽  
Probabilistic Metric Spaces ◽  
Menger Space ◽  
Probabilistic Metric ◽  
Common Fixed Point Theorems

In this paper, we extend Caristi’s fixed point theorem in metric spaces to probabilistic metric spaces, and also, we prove some common fixed point theorems for a pair of mappings satisfying a system of Caristi-type contractions in the setting of a Menger space. Two examples are given to support the main results. Furthermore, we have functional equations as an application for the main theorem.

scholarly journals Fixed point theorems in metric spaces and probabilistic metric spaces

1996 ◽  
Vol 19 (2) ◽  
pp. 243-252 ◽  
Author(s):  
Yeol Je Cho ◽  
Keun Saeng Park ◽  
Shih-Sen Chang
Keyword(s):  
Fixed Point ◽  
Variational Principle ◽  
Fixed Point Theorem ◽  
Common Fixed Point ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Compatible Mappings ◽  
Probabilistic Metric Spaces ◽  
Probabilistic Metric ◽  
Common Fixed Point Theorems

In this paper, we prove some common fixed point theorems for compatible mappings of type(A)in metric spaces and probabilistic metric spaces Also, we extend Caristi's fixed point theorem and Ekeland's variational principle in metric spaces to probabilistic metric spaces.

scholarly journals Common fixed point theorems in complete metric and probabilistic metric spaces

1987 ◽  
Vol 36 (1) ◽  
pp. 73-88 ◽  
Author(s):  
Mila Stojakovic
Keyword(s):  
Fixed Point ◽  
Common Fixed Point ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Probabilistic Metric Spaces ◽  
Continuous Mappings ◽  
Contraction Condition ◽  
Probabilistic Metric ◽  
Common Fixed Point Theorems

In this paper several common fixed point theorems for four continuous mappings in Menger and metric spaces are proved. These mappings are assumed to satisfy some generalizations of the contraction condition.

scholarly journals Common Fixed Point Theorem via Cyclic (α,β)-(ψ,φ)S-Contraction with Applications

Symmetry ◽  
2019 ◽  
Vol 11 (2) ◽  
pp. 198
Author(s):  
Mian Zada ◽  
Muhammad Sarwar ◽  
Fahd Jarad ◽  
Thabet Abdeljawad
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Common Fixed Point ◽  
Functional Equations ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Common Fixed Point Theorems ◽  
Common Fixed Point Theorem ◽  
Rational Type ◽  
Type Contraction

In this paper, we introduce the notion of cyclic ( α , β ) - ( ψ , φ ) s -rational-type contraction in b-metric spaces, and using this contraction, we prove common fixed point theorems. Our work generalizes many existing results in the literature. In order to highlight the usefulness of our results, applications to functional equations are given.

scholarly journals Common Fixed Point Theorems in Metric Spaces with Applications

2018 ◽  
Vol 11 (4) ◽  
pp. 1177-1190
Author(s):  
Pushpendra Semwal
Keyword(s):  
Dynamic Programming ◽  
Fixed Point ◽  
Common Fixed Point ◽  
Existence And Uniqueness ◽  
Functional Equations ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
System Of Functional Equations ◽  
Contractive Type ◽  
Common Fixed Point Theorems

In this paper we investigate the existence and uniqueness of common fixed point theorems for certain contractive type of mappings. As an application the existence and uniqueness of common solutions for a system of functional equations arising in dynamic programming are discuss by using the our results.

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