Well-Posedness of the Fixed Point Problem of Multifunctions of Metric Spaces

Nozara Sundus, Basit Ali () and Maggie Aphane
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Nozara Sundus: Department of Mathematics and Statistics, Auburn University, Auburn, AI 36849, USA
Basit Ali: Department of Mathematics, School of Science, University of Management and Technology, C-II Johar Town, Lahore 54770, Pakistan
Maggie Aphane: Department of Mathematics and Applied Mathematics, Sefako Makgatho Health Sciences University, Molotlegi Street, Garankuwa P.O. Box 107, Medunsa, Pretoria 0204, South Africa

Mathematics, 2024, vol. 12, issue 11, 1-19

Abstract: We consider a class of metrics which are equivalent to the Hausdorff metric in some sense to establish the well-posedness of fixed point problems associated with multifunctions of metric spaces, satisfying various generalized contraction conditions. Examples are provided to justify the applicability of new results.

Keywords: sequentially equivalent metrics; well-posedness; multifunction; fixed point problem (FPP) (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2024
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