1. Enriched multi-valued nonexpansive mappings in geodesic spaces.
- Author
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Salisu, Sani, Kumam, Poom, Sriwongsa, Songpon, and Inuwa, Adamu Yusuf
- Abstract
Enriched multi-valued contraction mappings and enriched multi-valued nonexpansive mappings are introduced in the context of geodesic spaces, and their fixed points are analyzed in CAT(0) spaces. For the contraction mapping, the existence of a fixed point is established, and a scheme for approximating the point is provided. Conditions under which a sequence converges to a fixed point of the enriched multi-valued nonexpansive mapping are given, and the mapping is shown to exhibit a demiclosedness-type property. Furthermore, it is shown that the fixed point set of the mapping is closed and convex. Conditions under which a sequence converges to a Mann-type scheme are given, and an application to an equilibrium problem involving Nash non-cooperative games is discussed. [ABSTRACT FROM AUTHOR]
- Published
- 2024
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