On the Existence of Coincidence and Common Fixed Point of Two Rational Type Contractions and an Application in Dynamical Programming-Reference-Cited by-同舟云学术

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

Published:2016 Issue: Volume:2016 Page:1-10
ISSN:2314-8896
Container-title:Journal of Function Spaces
language:en
Short-container-title:Journal of Function Spaces

Author:

Soliman Ahmed H.¹^ORCID,Nabil Tamer²^ORCID

Affiliation:

1. Department of Mathematics, Faculty of Science, Al-Azhar University, Assiut 71524, Egypt

2. Department of Basic Science, Faculty of Computers and Informatics, Suez Canal University, Ismailia, Egypt

Abstract

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.

Publisher

Hindawi Limited

Subject

Analysis

Link

http://downloads.hindawi.com/journals/jfs/2016/3690421.pdf

Reference22 articles.

1. On a fixed point theorem and its application in dynamic programming

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