A common fixed point theorem and its application to nonlinear integral equations

H. K. Pathak, M. S. Khan*, Rakesh Tiwari

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

39 Citations (Scopus)

Abstract

In this paper, we prove a common fixed point theorem for a pair of weakly compatible mappings. The result is applied to prove the existence of solution of system of nonlinear integral equations. Our theorems extend and improve several known results.

Original languageEnglish
Pages (from-to)961-971
Number of pages11
JournalComputers and Mathematics with Applications
Volume53
Issue number6
DOIs
Publication statusPublished - Mar 2007

Keywords

  • Common fixed points
  • Compatible mappings of type (I) and (II)
  • Nonlinear integral equations
  • Weak compatible mappings

ASJC Scopus subject areas

  • Modelling and Simulation
  • Computational Theory and Mathematics
  • Computational Mathematics

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