Approximating fixed points of enriched Chatterjea contractions by Krasnoselskij iterative method in Banach spaces

Autor:	Berinde, Vasile, Păcurar, Mădălina
Rok vydání:	2019
Předmět:	Mathematics - Functional Analysis 47H09 47H10
Druh dokumentu:	Working Paper
Popis:	Using the technique of enrichment of contractive type mappings by Krasnoselskij averaging, introduced in [Berinde, V., {\it Approximating fixed points of enriched nonexpansive mappings by Krasnoselskij iteration in Hilbert spaces}, Carpathian J. Math. {\bf 35} (2019), no. 3, 277-288.], we introduce the class of enriched Chatterjea contractions and prove general fixed point theorems for such contractions in the setting of a Banach space. Examples to illustrate the richness of the new class of contractions and the relationship between enriched Banach contractions, enriched Kannan contractions and enriched Kannan contractions are also given. Comment: arXiv admin note: text overlap with arXiv:1909.02379
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1909.03494 Zobrazit plný text záznamu View this record from Arxiv