Existence of a common solution of an integral equations system by (psi, alpha, beta)-weakly contractions

  • Lo'lo, Parvaneh
  • Vaezpour, Seiyed Mansour
  • Saadati, Reza
  • Park, Choonkil
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초록

In this paper, we consider a system of integral equations and apply the coincidence and common fixed point theorems for four mappings satisfying a (psi, alpha, beta)-weakly contractive condition in ordered metric spaces to prove the existence of a common solution to integral equations. Also we furnish suitable examples to demonstrate the validity of the hypotheses of our results.

키워드

coincidence pointcommon fixed pointpartially weakly increasing mappingscompatible pair of mappingsweakly compatible pair of mappingssemi-compatible pair of mapping(psi, alpha, beta)-weakly contractionreciprocally continuous mappingsf-weak reciprocally continuous mappingsORDERED METRIC-SPACESFIXED-POINT THEOREMSALTERING DISTANCESCOINCIDENCEMAPPINGSMAPSSETS
제목
Existence of a common solution of an integral equations system by (psi, alpha, beta)-weakly contractions
저자
Lo'lo, ParvanehVaezpour, Seiyed MansourSaadati, RezaPark, Choonkil
DOI
10.1186/1029-242X-2014-517
발행일
2014-12
유형
Article
저널명
Journal of Inequalities and Applications
페이지
1 ~ 20

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