Coupled Fixed Point Theorem in Ordered Metric Spaces

2020 ◽  
Vol 12 (2) ◽  
pp. 123
Author(s):  
Kanchan Barman ◽  
Subhashish Biswas
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Point Theorem ◽  
Metric Spaces ◽  
Coupled Fixed Point ◽  
Ordered Metric Spaces ◽  
Coupled Fixed Point Theorem

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 Topological Structure of Quasi-Partial b-Metric Spaces

2016 ◽  
Vol 17 ◽  
pp. 8-18 ◽  
Author(s):  
Anuradha Gupta ◽  
Pragati Gautam
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Point Theorem ◽  
Metric Space ◽  
Topological Structure ◽  
Metric Spaces ◽  
Coupled Fixed Point ◽  
Topological Properties ◽  
Coupled Fixed Point Theorem ◽  
Metric Topology

In this paper we discuss the topological properties of quasi-partialb-metric spaces. The notion of quasi-partialb-metric space was introduced and fixed point theorem and coupled fixed point theorem on this space were studied. Here the concept of quasi-partialb-metric topology is discussed and notion of product of quasi-partialb-metric spaces is also introduced.

Coupled fixed point theorem in $b-$fuzzy metric spaces

2016 ◽  
Vol 47 (1) ◽  
pp. 77-88
Author(s):  
Tatjana Došenović ◽  
Atena Javaheri ◽  
Shaban Sedghi ◽  
Nabi Shobe
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Point Theorem ◽  
Metric Spaces ◽  
Coupled Fixed Point ◽  
Fuzzy Metric Spaces ◽  
Fuzzy Metric ◽  
Coupled Fixed Point Theorem

scholarly journals Coupled Fixed-Point Theorems in Theta-Cone-Metric Spaces

2021 ◽  
Vol 2021 ◽  
pp. 1-7
Author(s):  
Sahar Mohamed Ali Abou Bakr
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Point Theorem ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Coupled Fixed Point ◽  
Cone Metric Spaces ◽  
Underlying Space ◽  
Coupled Fixed Point Theorem ◽  
Cone Metric

This paper gives further generalizations of some well-known coupled fixed-point theorems. Specifically, Theorem 3 of the paper is the generalization of the Baskar–Lackshmikantham coupled fixed-point theorem, and Theorem 5 is the generalization of the Sahar Mohamed Ali Abou Bakr fixed-point theorem, where the underlying space is complete θ -cone-metric space.

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