Common fixed point theorems for generalized (ϕ,ψ)-weak contraction condition in complete metric spaces

Creative Commons License

Murthy P. P., TAŞ K., Patel U. D.

Journal of Inequalities and Applications, vol.2015, no.1, 2015 (SCI-Expanded) identifier

  • Publication Type: Article / Article
  • Volume: 2015 Issue: 1
  • Publication Date: 2015
  • Doi Number: 10.1186/s13660-015-0647-y
  • Journal Name: Journal of Inequalities and Applications
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Keywords: (ϕ,ψ)-weak contraction condition, altering distance function, complete metric spaces, fixed points, weak compatible maps
  • Uşak University Affiliated: No

Abstract

The intent of this manuscript is to establish some common fixed point theorems in a complete metric space under weak contraction condition for two pairs of discontinuous weak compatible maps. The results proved herein are the generalization of some recent results in literature. We give an example to support our results.