MMN-4012
Fixed point theorems of asymptotically regular maps
Nguyen H. Hoc;
Ravindra K. Bisht;
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.
Vol. 25 (2024), No. 2, pp. 737-747