On Novel Common Fixed Point Results for Enriched Nonexpansive Semigroups

Thitima Kesahorm, Wutiphol Sintunavarat

Abstract


In this paper, we introduce a new nonlinear semigroups of an enriched nonexpansive mapping in the sense ofBerinde, namely, an enriched nonexpansive semigroups. Additionally, we establishsome weak and strong convergence results for enriched nonexpansive semigroups to approximatecommon fixed points using Mann iterative process in uniformly convex Banach spaces. We alsopresent some illustrative exmples to support our results.

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The Thai Journal of Mathematics organized and supported by The Mathematical Association of Thailand and Thailand Research Council and the Center for Promotion of Mathematical Research of Thailand (CEPMART).

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|ISSN 1686-0209|