An extension of Mizoguchi-Takahaashi's fixed point theorem
M. Eshaghi Gordji, H. Baghani, M. Ramezani, H. Khodaei
TL;DR
This paper extends the Mizoguchi-Takahaashi fixed point theorem, broadening its applicability to multi-valued mappings in complete metric spaces, and provides new theoretical insights into fixed point existence.
Contribution
The paper introduces a generalized fixed point theorem extending Mizoguchi-Takahaashi's results for multi-valued mappings in complete metric spaces.
Findings
Extended fixed point theorem for multi-valued mappings
Broader conditions for fixed point existence
Theoretical framework for further research
Abstract
Our main theorem is an extension of the well-known Mizoguchi-Takahaashi's fixed point theorem [N. Mizogochi and W. Takahashi, Fixed point theorems for multi-valued mappings on complete metric space, {\it J. Math. Anal. Appl.} 141 (1989) 177--188].
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Taxonomy
TopicsFixed Point Theorems Analysis · Optimization and Variational Analysis · Advanced Differential Geometry Research