scholarly journals Existence and Unique Coupled Solution in Sb-Metric Spaces by Rational Contraction with Application

Mathematics ◽  
2019 ◽  
Vol 7 (4) ◽  
pp. 313 ◽  
Author(s):  
Jelena Vujaković ◽  
Gajula Kishore ◽  
Konduru Rao ◽  
Stojan Radenović ◽  
Shaik Sadik
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Point Theorem ◽  
Metric Spaces ◽  
Coupled Fixed Point ◽  
Compatible Mappings ◽  
Common Coupled Fixed Point ◽  
Coupled Fixed Point Theorem ◽  
Coupled Solution ◽  
Rational Contraction

In this paper, we prove a unique common coupled fixed point theorem for two pairs of w-compatible mappings in S b -metric spaces. We also furnish an example to support our main result.

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.

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