Hyperconvex Metric Spaces for Set-Valued Mappings with Non-Compactness

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Abid Khan
Deepti Shakti
Ramakant Bhardwaj
Qazi Aftab Kabir

Abstract

In this paper, we proved the Browder-Fan fixed point theorem for set-valued mappings in non-compact hyperconvex metric
spaces. We use the applications of the Knaster-Kuratowski and Mazurkiewiczn in short (KKM), principle in the hyperconvex space.
The results of this paper are the substantial improvements of the corresponding ones obtained by Wen Kai-ting, (Journal of
Mathematical Research & Exposition, 28:1 (2005) pp. 161-168) and many others in the literature.

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How to Cite
1.
Abid Khan, Deepti Shakti, Ramakant Bhardwaj, Qazi Aftab Kabir. Hyperconvex Metric Spaces for Set-Valued Mappings with Non-Compactness. J. Int. Acad. Phys. Sci. [Internet]. 2020 Jun. 15 [cited 2024 Mar. 29];24(2):159-65. Available from: https://www.iaps.org.in/journal/index.php/journaliaps/article/view/37
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