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

Radu Miculescu; Alexandru Mihail

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arXiv · 1512.05093

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

Radu Miculescu·Alexandru Mihail

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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.

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Radu Miculescu, Alexandru Mihail. 2015-12-16. A generalization of Matkowski's fixed point theorem and Istratescu's fixed point theorem concerning convex contractions. https://arxiv.org/abs/1512.05093

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