scholarly journals Coupled fixed point results for rational type contractions involving generalized altering distance function in metric spaces

2018 ◽  
Keyword(s):  
Fixed Point ◽  
Distance Function ◽  
Metric Spaces ◽  
Coupled Fixed Point ◽  
Altering Distance Function ◽  
Altering Distance ◽  
Generalized Altering Distance Function ◽  
Rational Type

scholarly journals Multivalued generalizations of fixed point results in fuzzy metric spaces

2016 ◽  
Vol 21 (2) ◽  
pp. 211-22 ◽  
Author(s):  
Tatjana Došenovic ◽  
Dušan Rakic ◽  
Biljana Caric ◽  
Stojan Radenovic
Keyword(s):  
Fixed Point ◽  
Distance Function ◽  
Metric Space ◽  
Metric Spaces ◽  
Coincidence Point ◽  
Multivalued Mappings ◽  
Altering Distance Function ◽  
Fuzzy Metric ◽  
Altering Distance ◽  
Theoretical Results

This paper attempts to prove fixed and coincidence point results in fuzzy metric space using multivalued mappings. Altering distance function and multivalued strong {bn}-fuzzy contraction are used in order to do that. Presented theorems are generalization of some well known single valued results. Two examples are given to support the theoretical results.

scholarly journals Fixed point theorems in fuzzy metric spaces for mappings with Bγ,µ condition

2021 ◽  
Author(s):  
Nilakshi Goswami ◽  
Bijoy Patir
Keyword(s):  
Fixed Point ◽  
Distance Function ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Nonexpansive Mappings ◽  
Altering Distance Function ◽  
Fuzzy Metric Spaces ◽  
Fuzzy Metric ◽  
Convergence Results ◽  
Altering Distance

In this paper we prove some fixed point theorems in fuzzy metric spaces for a class of generalized nonexpansive mappings satisfying Bγ,µ condition. We introduce a type of convexity in fuzzy metric spaces with respect to an altering distance function and prove convergence results for some iteration schemes to the fixed point. The results are supported by suitable examples.

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