DOI: 10.24193/fpt-ro.2025.2.08

Authors: Pradip Debnath

Abstract: This paper delves into the examination of some unresolved inquiries regarding Kannan and Ćirić-Reich-Rus contractions in a Banach space by employing the notion of enriched contractions. We introduce multivalued enriched interpolative versions of these results to address those questions. In this context, additionally, we introduce a novel extension of the Banach contraction principle and substantiate its validity through an example in an infinite-dimensional normed space.

Key Words and Phrases: Banach space, fixed point, Kannan contraction, Ćirić-Reich-Rus contraction, complete metric space, multivalued map, normed linear space.

2010 Mathematics Subject Classification: 47H10, 54H25, 54E50.

Published on-line: May 1st, 2025.

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