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

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)