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arXiv · 1909.03494

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

Vasile Berinde·Mădălina Păcurar
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Abstract

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.

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Vasile Berinde, Mădălina Păcurar. 2019-09-05. Approximating fixed points of enriched Chatterjea contractions by Krasnoselskij iterative method in Banach spaces. https://arxiv.org/abs/1909.03494

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