Approximating fixed points of enriched Chatterjea contractions by Krasnoselskij iterative method in Banach spaces
Abstract
Using the technique of enrichment of contractive type mappings by Krasnoselskij averaging, introduced in [Berinde, V., Approximating fixed points of enriched nonexpansive mappings by Krasnoselskij iteration in Hilbert spaces, Carpathian J. Math. 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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