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

2015/12/16 by Radu Miculescu, Miculescu, Radu, Alexandru Mihail +1
Mathematics · #47H10 #54H25 #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Fixed Point Theorems Analysis #math.CA #msc:47H10 #msc:54H25

paper · pdf · doi:10.48550/arxiv.1512.05093

arxiv created 2015/12/16 · openalex publication_date 2015/12/16 · arxiv updated 2015/12/17 · openalex created_date 2022/08/15 · openalex updated_date 2026/07/28

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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