Some new fixed points results for a class of set-valued mappings in metric spaces

Rajendra Pant

Abstract


In this article, a wider class of set-valued mappings is introduced, and a fixed point theorem for this new mapping in a metric space is proved. Then, we derive a number of implications from our main finding. We also present two non-trivial examples to support our primary theorem. Moreover, we look into fixed point set stability for set-valued mappings and well-posedness. Finally, we present an application to integral inclusion problem.

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Published: 2023-09-18

How to Cite this Article:

Rajendra Pant, Some new fixed points results for a class of set-valued mappings in metric spaces, Adv. Fixed Point Theory, 13 (2023), Article ID 15

Copyright © 2023 Rajendra Pant. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Advances in Fixed Point Theory

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