Strict fixed point and Ulam-Hyers stability of multivalued asymptotically regular mappings

Author:

Oyetunbi Dolapo1,Khan Abdul2,Saleh Khairul3

Affiliation:

1. Department of Mathematics and Statistics, University of Ottawa, Canada

2. Department of Mathematics and Statistics, Institute of Southern Punjab, Multan, Pakistan

3. Department of Mathematics, King Fahd University of Petroleum and Minerals, Dhahran, Saudi Arabia

Abstract

In this paper, we establish the existence and uniqueness of strict fixed point for an asymptotically regular multivalued mapping in a metric space. We also study the Ulam-Hyers stability, well-posedness and data dependence of the associated strict fixed point problem. We give an example to illustrate our results. Our work extends and complements important results existing in the literature.

Publisher

National Library of Serbia

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