scholarly journals Global Optimal Solutions for Proximal Fuzzy Contractions Involving Control Functions

2021 ◽  
Vol 2021 ◽  
pp. 1-10
Author(s):  
Abdelhamid Moussaoui ◽  
Nawab Hussain ◽  
Said Melliani
Keyword(s):  
Current Literature ◽  
Metric Spaces ◽  
Existence Results ◽  
Optimal Solutions ◽  
Fuzzy Metric Spaces ◽  
Best Proximity Points ◽  
Fuzzy Metric ◽  
Control Functions ◽  
New Concepts ◽  
Global Optimal

In this study, we introduce new concepts of α − FZ -contraction and α − ψ − FZ -contraction and we discuss existence results of the best proximity points of such types of non-self-mappings involving control functions in the structure of complete fuzzy metric spaces. Our results extend, generalize, enrich, and improve diverse existing results in the current literature.

scholarly journals Common fixed points using (ψ,ϕ ) - type contractive maps in fuzzy metric spaces

2020 ◽  
Vol 18 (1) ◽  
Author(s):  
Vishal Gupta ◽  
Manu Verma
Keyword(s):  
Fixed Point ◽  
Metric Space ◽  
Metric Spaces ◽  
Common Fixed Points ◽  
Fuzzy Metric Space ◽  
Contractive Condition ◽  
Fuzzy Metric Spaces ◽  
Fuzzy Metric ◽  
Control Functions ◽  
Contractive Maps

This In this paper, we define new control functions to give unique fixed point in fuzzy metric space. A fruitful contractive condition of (ψ, ϕ)- type is used to obtain common fixed point theorem for two maps in fuzzy metric spaces. We extend the existing results in metric space to fuzzy metric space using these control functions. The first theorem is the extension of the result of Zhang and Song (2009) under the required contractive conditions. Second result is analogous to the result of Doric (2009) in metric spaces.

Fuzzy Normed Spaces and Fuzzy Metric Spaces

2018 ◽  
pp. 11-43
Author(s):  
Yeol Je Cho ◽  
Themistocles M. Rassias ◽  
Reza Saadati
Keyword(s):  
Metric Spaces ◽  
Normed Spaces ◽  
Fuzzy Metric Spaces ◽  
Fuzzy Metric

scholarly journals A contribution to the study of fuzzy metric spaces

2001 ◽  
Vol 2 (1) ◽  
pp. 63 ◽  
Author(s):  
Almanzor Sapena Piera
Keyword(s):  
Metric Spaces ◽  
Fuzzy Theory ◽  
Topological Spaces ◽  
Fuzzy Metric Spaces ◽  
Fuzzy Metric

We give some examples nad properties of fuzzy metric spaces, in the sense of George and Veramani, and characterize the To topological spaces which admit a compatible uniformity that has a countable transitive base, in terms of the fuzzy theory.

Sign in / Sign up

Export Citation Format

Share Document