Approximating fixed points of enriched contractions in Banach spaces

We introduce a large class of contractive mappings, called enriched contractions, a class which includes, amongst many other contractive type mappings, the Picard–Banach contractions and some nonexpansive mappings. We show that any enriched contraction has a unique fixed point and that this fixed po...

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Bibliographic Details
Published in:	Fixed point theory and algorithms for sciences and engineering Vol. 22; no. 2; p. 38
Main Authors:	Berinde, Vasile, Păcurar, Mădălina
Format:	Journal Article
Language:	English
Published:	Cham Springer International Publishing 01.06.2020 Springer Nature B.V
Subjects:	Analysis Approximation Banach spaces Enrichment Fixed points (mathematics) Iterative methods Mathematical Methods in Physics Mathematics Mathematics and Statistics Krasnoselskij iteration Primary 47H05 fixed point enriched contraction Secondary 47H10 Banach space 54J25 strong convergence Maia-type enriched contraction local enriched contraction
ISSN:	1661-7738, 1661-7746, 2730-5422
Online Access:	Get full text
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