SOME NEW FIXED POINTS RESULTS FOR A CLASS OF SET-VALUED MAPPINGS IN METRIC SPACES

Rajendra Pant

doi:10.28919/afpt/8141

SOME NEW FIXED POINTS RESULTS FOR A CLASS OF SET-VALUED MAPPINGS IN METRIC SPACES

Rajendra Pant

University of Johannesburg

Research output: Contribution to journal › Article › peer-review

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.

Original language	English
Article number	15
Journal	Advances in Fixed Point Theory
Volume	13
DOIs	https://doi.org/10.28919/afpt/8141
Publication status	Published - 2023
Externally published	Yes

Keywords

fixed points
metric space
set-valued mappings
stability

ASJC Scopus subject areas

Analysis
Geometry and Topology
Control and Optimization
Computational Mathematics

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10.28919/afpt/8141

Cite this

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AB - 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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KW - metric space

KW - set-valued mappings

KW - stability

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DO - 10.28919/afpt/8141

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SOME NEW FIXED POINTS RESULTS FOR A CLASS OF SET-VALUED MAPPINGS IN METRIC SPACES

Abstract

Keywords

ASJC Scopus subject areas

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