On common fixed point results for new contractions with applications to graph and integral equations

Haitham Qawaqneh, Mohd Salmi Noorani, Hassen Aydi, Wasfi Shatanawi

Research output: Contribution to journalArticle

Abstract

The investigation of symmetric/asymmetric structures and their applications in mathematics (in particular in operator theory and functional analysis) is useful and fruitful. A metric space has the property of symmetry. By looking in the same direction and using the α-admissibility with regard to η and θ-functions, we demonstrate some existence and uniqueness fixed point theorems. The obtained results extend and generalize the main result of Isik et al. (2019). At the end, some illustrated applications are presented.

Original languageEnglish
Article number1082
JournalMathematics
Volume7
Issue number11
DOIs
Publication statusPublished - 1 Nov 2019

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Common Fixed Point
Contraction
Integral Equations
Operator Theory
Admissibility
Functional Analysis
Uniqueness Theorem
Graph in graph theory
Metric space
Fixed point theorem
Existence and Uniqueness
Symmetry
Generalise
Demonstrate

Keywords

  • Admissibility
  • Contraction
  • Functional equation
  • Graph

ASJC Scopus subject areas

  • Mathematics(all)

Cite this

On common fixed point results for new contractions with applications to graph and integral equations. / Qawaqneh, Haitham; Noorani, Mohd Salmi; Aydi, Hassen; Shatanawi, Wasfi.

In: Mathematics, Vol. 7, No. 11, 1082, 01.11.2019.

Research output: Contribution to journalArticle

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