Optimal pair of fixed points for a new class of noncyclic mappings under a $ (\varphi, \mathcal{R}^t) $-enriched contraction condition

Autor:	A. Safari-Hafshejani, M. Gabeleh, M. De la Sen
Jazyk:	angličtina
Rok vydání:	2024
Předmět:	optimal pair of fixed points noncyclic $ (\varphi \mathcal{r}^t) $-enriched quasi-contraction metric space transitive relation reflexive banach space Mathematics QA1-939 Applied mathematics. Quantitative methods T57-57.97
Zdroj:	Electronic Research Archive, Vol 32, Iss 4, Pp 2251-2266 (2024)
Druh dokumentu:	article
ISSN:	2688-1594
DOI:	10.3934/era.2024102?viewType=HTML
Popis:	In the present study, we commenced by presenting a new class of maps, termed noncyclic $ (\varphi, \mathcal{R}^t) $-enriched quasi-contractions within metric spaces equipped with a transitive relation $ \mathcal{R}^t $. Subsequently, we identified the conditions for the existence of an optimal pair of fixed points pertaining to these mappings, thereby extending and refining a selection of contemporary findings documented in some articles. Specifically, our analysis will encompass the outcomes pertinent to reflexive and strictly convex Banach spaces.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/f6b9d4484c4c461a997c0a39d66abc4b Zobrazit plný text záznamu View record in DOAJ Plný text ve formátu PDF Plný text ve formátu HTML
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