Enriched P-Contractions on Normed Space and a Fixed Point Result

Year 2024, Volume: 16 Issue: 1, 64 - 69, 30.06.2024

İshak Altun , Hatice Aslan Hançer , Merve Doğan Ateş

https://doi.org/10.47000/tjmcs.1391969

Abstract

This paper introduces the concept of enriched $P$-contractions on linear
normed spaces, and provides illustrative examples that highlight the
differences between this new concept and its previous counterparts. It then
gives a research result regarding the existence and uniqueness of the fixed
point of this innovative type of contractions in Banach spaces. Finally,
reminds us of the concept of enriched nonexpansive mappings and also offers
a simple fixed point theorem for such mappings.

Keywords

Fixed point, P-contraction, enriched contraction, Banach space

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