DOI: 10.24193/fpt-ro.2022.2.07

Authors: Erdal Karapınar, Ümİt Aksoy, Andreea Fulga, İncİ M. Erhan

Abstract: In this manuscript, we introduce two new types of contraction, namely, w-contraction and strong Sehgal w-contraction, in the framework of modular metric spaces. We indicate that under certain assumptions, such mappings possess a unique fixed point. For the sake of completeness, we consider examples and an application to matrix equations.

Key Words and Phrases: Modular metric space, fixed point, contractive iterate at a point.

2010 Mathematics Subject Classification: 46A80, 46T99, 47H10.

Published on-line: June 15th, 2022.

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