Fixed point theorem for generalized Chatterjea type mappings

2024/03/31 by Ovidiu Popescu, Popescu, Ovidiu, Cristina Maria Păcurar +1 · 2 citations
Mathematics · Social Sciences · Computer Science · #Fixed Point Theorems Analysis #Education, Innovation and Language Studies #Optimization and Variational Analysis

paper · pdf · doi:10.48550/arxiv.2404.00782

Abstract

We introduce a new type of mappings in metric space which are three-point analogue of the well-known Chatterjea type mappings, and call them generalized Chatterjea type mappings. It is shown that such mappings can be discontinuous as is the case of Chatterjea type mappings and this new class includes the class of Chatterjea type mappings. The fixed point theorem for generalized Chatterjea type mappings is proven.

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