scholarly journals COMMON COUPLED FIXED POINTS FOR TWO PAIRS OF w -COMPATIBLE MAPS IN PARTIAL G -METRIC SPACES

2016 ◽  
Vol 12 (2) ◽  
pp. 7-28
Author(s):  
K. P. R. Rao ◽  
G. N. V. Kishore ◽  
S. K. Sadik
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Fixed Points ◽  
Metric Spaces ◽  
Coupled Fixed Point ◽  
Compatible Mappings ◽  
Compatible Maps ◽  
Coupled Fixed Point Theorem ◽  
Common Coupled Fixed Points ◽  
Coupled Fixed Points

In this paper we prove a unique common coupled fixed point theorem for two pairs of w-compatible mappings satisfying two contractive conditions in partial G-metric spaces. We also furnish an example to support our main theorem.Mathematics Subject Classification: 47H10, 54H25Kathmandu UniversityJournal of Science, Engineering and TechnologyVol. 12, No. 2, 2016, page: 7-28 

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 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 Some Common Coupled Fixed Point Results for Generalized Contraction in Complex-Valued Metric Spaces

2013 ◽  
Vol 2013 ◽  
pp. 1-10 ◽  
Author(s):  
Marwan Amin Kutbi ◽  
Akbar Azam ◽  
Jamshaid Ahmad ◽  
Cristina Di Bari
Keyword(s):  
Fixed Points ◽  
Metric Space ◽  
Metric Spaces ◽  
Coupled Fixed Point ◽  
Generalized Contraction ◽  
Complex Valued Metric Space ◽  
The Common ◽  
Complex Valued ◽  
Common Coupled Fixed Points ◽  
Coupled Fixed Points

We introduce and study the notion of common coupled fixed points for a pair of mappings in complex valued metric space and demonstrate the existence and uniqueness of the common coupled fixed points in a complete complex-valued metric space in view of diverse contractive conditions. In addition, our investigations are well supported by nontrivial examples.

scholarly journals A Constructive Scheme for a Common Coupled Fixed Point Problems in Hilbert Space

Mathematics ◽  
2020 ◽  
Vol 8 (10) ◽  
pp. 1717
Author(s):  
Kyung Soo Kim
Keyword(s):  
Fixed Point ◽  
Fixed Points ◽  
Hilbert Spaces ◽  
Iterative Scheme ◽  
Coupled Fixed Point ◽  
Common Coupled Fixed Point ◽  
Potential Applications ◽  
Fixed Point Iterations ◽  
Common Coupled Fixed Points ◽  
Coupled Fixed Points

Coupled fixed points have become the focus of interest in recent times, especially for their potential applications. Very recently, the idea of common coupled fixed point iterations has been introduced for approximating common coupled fixed points in linear spaces. Here, a coupled Mann pair iterative scheme is defined and is applied to the problem of finding common coupled fixed points of certain mappings. The discussion of the paper is in the context of Hilbert spaces.

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