Fixed point theorems of asymptotically regular maps

Hoc, Nguyen H. and Bisht, Ravindra K. (2024) Fixed point theorems of asymptotically regular maps. Miskolc Mathematical Notes, 25 (2). pp. 737-747. ISSN 1787-2413

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Abstract

We prove some fixed point theorems for asymptotically regular self-mappings, not necessarily orbitally continuous or k-continuous, satisfying weaker Proinov contraction. Our results extend several recent results in the literature and provide more answers to an open question raised by Rhoades. Some nontrivial examples are also given to illustrate our results.

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