New fixed point results for modified contractions and applications

Hüseyin Işik, Hassen Aydi, Mohd. Salmi Md. Noorani, Haitham Qawaqneh

Research output: Contribution to journalArticle

Abstract

In this study, we introduce a new type of contractive mapping to establish the existence and uniqueness of fixed points for this type of contraction. Some related examples are built demonstrating the superiority of our results compared to the existing onesin the literature. As applications of the results obtained, some new fixed point theorems are presented for graph-type contractions. Furthermore, sufficient conditions are discussed to ensure the existence underlying various approaches of a solution for a functional equation originating in dynamic programming.

Original languageEnglish
Article number660
JournalSymmetry
Volume11
Issue number5
DOIs
Publication statusPublished - 1 May 2019

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contraction
Contraction
Fixed point
dynamic programming
Contractive Mapping
uniqueness
Dynamic programming
Functional equation
Dynamic Programming
Fixed point theorem
Existence and Uniqueness
theorems
Sufficient Conditions
Graph in graph theory

Keywords

  • A-y-contraction
  • Admissible mapping
  • Functional equation
  • Graph

ASJC Scopus subject areas

  • Computer Science (miscellaneous)
  • Chemistry (miscellaneous)
  • Mathematics(all)
  • Physics and Astronomy (miscellaneous)

Cite this

New fixed point results for modified contractions and applications. / Işik, Hüseyin; Aydi, Hassen; Md. Noorani, Mohd. Salmi; Qawaqneh, Haitham.

In: Symmetry, Vol. 11, No. 5, 660, 01.05.2019.

Research output: Contribution to journalArticle

Işik, Hüseyin ; Aydi, Hassen ; Md. Noorani, Mohd. Salmi ; Qawaqneh, Haitham. / New fixed point results for modified contractions and applications. In: Symmetry. 2019 ; Vol. 11, No. 5.
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