COMMON FIXED POINT THEOREMS IN INCOMPLETE METRIC SPACES WITH APPLICATION

ÖZKAN K.

JOURNAL OF NONLINEAR AND CONVEX ANALYSIS, vol.23, no.5, pp.891-903, 2022 (SCI-Expanded, Scopus) identifier identifier

  • Publication Type: Article / Article
  • Volume: 23 Issue: 5
  • Publication Date: 2022
  • Journal Name: JOURNAL OF NONLINEAR AND CONVEX ANALYSIS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, MathSciNet, zbMATH
  • Page Numbers: pp.891-903
  • Keywords: Fixed point theory, orthogonal set, Urysohn integral equations
  • Manisa Celal Bayar University Affiliated: Yes

Abstract

In this paper, we proved common fixed point theorems endowed with an orthogonal relation for two perpendicular to-commuting mappings. As some corollaries of our theorems, we obtain the generalizations of the Banach's, Kannan's, Reich's, Chatterjea's fixed point theorems and others for the orthogonal sets. Finally, we give an application of our main results to establish the existence and uniqueness of a common solution of system of Urysohn integral equations.