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

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Published: 2020-06-15
Keywords:
Hyperconvex spaces, fixed point theorem, Non-compactness, KKM mapping, Browder-Fan theorem, Set-valued mappings.

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Abid Khan
Department of Mathematics Amity University, Gwalior, Madhya Pradesh, India
Deepti Shakti
Department of Mathematics Amity University, Gwalior, Madhya Pradesh, India
Ramakant Bhardwaj
Department of Mathematics Amity University, Kolkata, W.B., India
Qazi Aftab Kabir
Department of Mathematics Govt. Degree College Surankote, Jammu & Kashmir, India

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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Vol. 24 No. 2 (2020): Table of Content

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How to Cite

1.
Hyperconvex Metric Spaces for Set-Valued Mappings with Non-Compactness. J. Int. Acad. Phys. Sci. [Internet]. 2020 Jun. 15 [cited 2026 Oct. 23];24(2):159-65. Available from: http://www.iaps.org.in/journal/index.php/journaliaps/article/view/37