ON SOME NOVEL RESULTS FOR C-WEAK-FUZZY CONTRACTIONS

ON SOME NOVEL RESULTS FOR C-WEAK-FUZZY CONTRACTIONS

S. Jabeen, M. Younis, H. Işık

[PDF]

Abstract

This article implements the idea of introducing the concept of C-weak-fuzzy contraction mapping in the framework of fuzzy cone metric spaces, and deriving some unique common  xed point results. A nontrivial example is enunciated to uphold our results. Our results unify, enrich and extend some pioneer results in the existing literature in the fuzzy setting. In the end, an application to Fredholm nonlinear integral equation is o ered showing the superiority of our results, which is in turn supported by an example.

Keywords

Fuzzy cone metric spaces,  xed point, C-weak-contraction, nonlinear integral equation.