Abstract
AbstractWe first give some fixed point results for set-valued self-map contractions in complete metric spaces. Then we derive a fixed point theorem for nonself set-valued contractions which are metrically inward. Our results generalize many well-known results in the literature.
Highlights
Introduction and PreliminariesLet X, d be a metric space and let CB X denote the class of all nonempty bounded closed subsets of X
We first give some fixed point results for set-valued self-map contractions in complete metric spaces
We derive a fixed point theorem for nonself set-valued contractions which are metrically inward
Summary
We first give some fixed point results for set-valued self-map contractions in complete metric spaces. We derive a fixed point theorem for nonself set-valued contractions which are metrically inward. Our results generalize many well-known results in the literature
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