scholarly journals On the Existence of Coincidence and Common Fixed Point of Two Rational Type Contractions and an Application in Dynamical Programming

2016 ◽  
Vol 2016 ◽  
pp. 1-10 ◽  
Author(s):  
Ahmed H. Soliman ◽  
Tamer Nabil
Keyword(s):  
Dynamic Programming ◽  
Fixed Point ◽  
Common Fixed Point ◽  
Metric Space ◽  
Functional Equations ◽  
Coincidence Point ◽  
Generalized Metric Space ◽  
Dynamical Programming ◽  
Generalized Metric ◽  
Rational Type

We establish some coincidence point results for self-mappings satisfying rational type contractions in a generalized metric space. Presented coincidence point theorems weaken and extend numerous existing theorems in the literature besides furnishing some illustrative examples for our results. Finally, our results apply, in particular, to the study of solvability of functional equations arising in dynamic programming.

scholarly journals Coincidence Point Theorems for (α,β,γ)-Contraction Mappings in Generalized Metric Spaces

2018 ◽  
Vol 2018 ◽  
pp. 1-7 ◽  
Author(s):  
Chaiporn Thangthong ◽  
Anchalee Khemphet
Keyword(s):  
Integral Equation ◽  
Fixed Point ◽  
Common Fixed Point ◽  
Metric Space ◽  
Additional Condition ◽  
Metric Spaces ◽  
Coincidence Point ◽  
Generalized Metric Space ◽  
Generalized Metric Spaces ◽  
Generalized Metric

The result of our study is that a coincidence point of two mappings P and Q can be achieved when the ordered pair (P,Q) is an (α,β,γ)-contraction with respect to a generalized metric space. Moreover, with some additional condition, a common fixed point can be obtained as a consequence of our main theorems. Further, we apply our findings to some examples and integral equation problems.

A new contribution to the fixed point theory in b-generalized metric spaces

2017 ◽  
Vol 8 (1) ◽  
pp. 111
Author(s):  
Ahmed H. Soliman ◽  
M. A. Ahmed ◽  
A. M. Zidan
Keyword(s):  
Fixed Point ◽  
Metric Space ◽  
Metric Spaces ◽  
Fixed Point Theory ◽  
Point Theory ◽  
Generalized Metric Space ◽  
Generalized Metric Spaces ◽  
Generalized Metric ◽  
Rational Type

In this work, we introduce a new generalized metric space called b-generalized metric spaces (shortly, b-G.M.S). Also, we establish some fixed point results for a contraction of rational type in b-G.M.S. Some interesting examples are also given.

scholarly journals Two theorems in general metric space with 𝛒-distance

2017 ◽  
Vol 12 (12) ◽  
pp. 6852-6862
Author(s):  
Salwa Salman Abed ◽  
Hiba Adel Jabbar
Keyword(s):  
Fixed Point ◽  
Metric Space ◽  
Coincidence Point ◽  
Coupled Coincidence Point ◽  
Generalized Metric Space ◽  
Generalized Metric ◽  
Contraction Condition ◽  
Coupled Coincidence

In this paper, we prove two theorems about fixed point and coupled coincidence point in generalized -metric space via ρ-distance for a mapping satisfying a contraction condition.

scholarly journals Common Fixed Point Theorems in Metric Spaces with Applications

2018 ◽  
Vol 11 (4) ◽  
pp. 1177-1190
Author(s):  
Pushpendra Semwal
Keyword(s):  
Dynamic Programming ◽  
Fixed Point ◽  
Common Fixed Point ◽  
Existence And Uniqueness ◽  
Functional Equations ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
System Of Functional Equations ◽  
Contractive Type ◽  
Common Fixed Point Theorems

In this paper we investigate the existence and uniqueness of common fixed point theorems for certain contractive type of mappings. As an application the existence and uniqueness of common solutions for a system of functional equations arising in dynamic programming are discuss by using the our results.

Kannan fixed point theorem on generalized metric space with a graph

2019 ◽  
Vol 13 (6) ◽  
pp. 263-274 ◽  
Author(s):  
Karim Chaira ◽  
Abderrahim Eladraoui ◽  
Mustapha Kabil ◽  
Abdessamad Kamouss
Keyword(s):  
Fixed Point ◽  
Fixed Point Theorem ◽  
Point Theorem ◽  
Metric Space ◽  
Generalized Metric Space ◽  
Generalized Metric

scholarly journals Dislocated quasi cone b-metric space over Banach algebra and contraction principles with application to functional equations

2019 ◽  
Vol 17 (1) ◽  
pp. 1065-1081
Author(s):  
Reny George ◽  
Hossam A. Nabwey ◽  
Jelena Vujaković ◽  
R. Rajagopalan ◽  
Selva Vinayagam
Keyword(s):  
Fixed Point ◽  
Banach Algebra ◽  
Common Fixed Point ◽  
Metric Space ◽  
Functional Equations ◽  
Fixed Point Theorems ◽  
Identical Pair ◽  
Common Fixed Point Theorems

Abstract In this paper we introduce dislocated and dislocated quasi version of a cone b-metric space over a Banach algebra as well as weak semi α-admissible and α-identical pair of mappings and prove common fixed point theorems for a pair of α-identical and weak α-admissible mappings in the aforesaid spaces. Our results are supported with suitable examples and an application to a system of m-tupled functional equations.

scholarly journals The Generalized Weaker(α-ϕ-φ)-Contractive Mappings and Related Fixed Point Results in Complete Generalized Metric Spaces

2014 ◽  
Vol 2014 ◽  
pp. 1-10 ◽  
Author(s):  
Maryam A. Alghamdi ◽  
Chi-Ming Chen ◽  
Erdal Karapınar
Keyword(s):  
Fixed Point ◽  
Metric Space ◽  
Existence And Uniqueness ◽  
Fixed Point Theorems ◽  
Metric Spaces ◽  
Generalized Metric Space ◽  
Generalized Metric Spaces ◽  
Contractive Mappings ◽  
Generalized Metric

We introduce the notion of generalized weaker(α-ϕ-φ)-contractive mappings in the context of generalized metric space. We investigate the existence and uniqueness of fixed point of such mappings. Some consequences on existing fixed point theorems are also derived. The presented results generalize, unify, and improve several results in the literature.

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