Fixed point of multivalued maps on partially ordered bicomplete quasi-metric spaces
Copyright policy )Fixed point of multivalued maps on partially ordered bicomplete quasi-metric spaces
Summary: We introduce the concept of d-continuity and \(d^{-1}\)-continuity for multivalued mappings defined on a partially ordered quasi-metric spaces. Then, we prove several fixed point theorems for multivalued maps which generalize the existing results in the literature. At the end we give examples to illustrate our results. Moreover, we present an application of our results to homotopy theory.
fixed point, Fixed-point and coincidence theorems (topological aspects), Linearly ordered topological spaces, generalized ordered spaces, and partially ordered spaces, bicomplete, partial order, contraction, Complete metric spaces, Special maps on metric spaces, quasi-metric, Set-valued maps in general topology, multivalued-map
fixed point, Fixed-point and coincidence theorems (topological aspects), Linearly ordered topological spaces, generalized ordered spaces, and partially ordered spaces, bicomplete, partial order, contraction, Complete metric spaces, Special maps on metric spaces, quasi-metric, Set-valued maps in general topology, multivalued-map
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