Global optimization and common best proximity points for some multivalued contractive pairs of mappings
Date
2020
Authors
Debnath, Pradip
Srivastava, H.M.
Journal Title
Journal ISSN
Volume Title
Publisher
Axioms
Abstract
In this paper, we study a problem of global optimization using common best proximity point
of a pair of multivalued mappings. First, we introduce a multivalued Banach-type contractive pair of
mappings and establish criteria for the existence of their common best proximity point. Next, we put
forward the concept of multivalued Kannan-type contractive pair and also the concept of weak
D-property to determine the existence of common best proximity point for such a pair of maps.
Description
Keywords
common best proximity point, fixed point, contraction map, complete metric space, multivalued map, optimization
Citation
Debnath, P. & Srivastava, H. M. (2020). “Global optimization and common best proximity points for some multivalued contractive pairs of mappings.” Axioms, 9(3), 102. https://doi.org/10.3390/axioms9030102