English

A generalization of Matkowski's fixed point theorem and Istratescu's fixed point theorem concerning convex contractions

Classical Analysis and ODEs 2015-12-17 v1

Abstract

In this paper we obtain a generalization of Matkowski's fixed point theorem and Istratescu's fixed point theorem concerning convex contractions in the framework of b-metric spaces. By providing appropriate examples we show that the above mentioned two generalizations are effective.

Keywords

Cite

@article{arxiv.1512.05093,
  title  = {A generalization of Matkowski's fixed point theorem and Istratescu's fixed point theorem concerning convex contractions},
  author = {Radu Miculescu and Alexandru Mihail},
  journal= {arXiv preprint arXiv:1512.05093},
  year   = {2015}
}