Well-Posedness of the Fixed Point Problem of Multifunctions of Metric Spaces
Nozara Sundus,
Basit Ali,
Maggie Aphane
Affiliations
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
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.
