On Stability of Fixed Points for Multi-Valued Mappings with an Application [PDF]
Abstract and Applied Analysis, 2014 This paper studies the stability of fixed points for multi-valued mappings in relation to selections. For multi-valued mappings admitting Michael selections, some examples are given to show that the fixed point mapping of these mappings are neither upper
Qi-Qing Song
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Fixed Point Theorems for Multi-Valued Mappings [PDF]
Canadian Mathematical Bulletin, 1980 Two fixed point theorems for multi-valued mappings in a complete, ε-chainable metric space are proved. The theorems, thus established, extend result of M. Edelstein, Peter K. F. Kuhfittig, Hwei-mei Ko and Yueh-hsia Tsai, S. B. Nadler, Jr. and S. Reich.
Thakyin Hu
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Fixed point theorems for compatible multi-valued and single-valued mappings [PDF]
International Journal of Mathematics and Mathematical Sciences, 1989 The notion of compatibility for point-to-point mappings recently defined by Jungck is generalized to include multi-valued mappings. This idea is used to establish a fixed point theorem for a generalized contractive multi-valued mapping and a single ...
Hideaki Kaneko, Salvatore Sessa
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Common Attractive Points of Generalized Hybrid Multi-Valued Mappings and Applications
Mathematics, 2020 In this paper, we first propose the concepts of (ζ,η,λ,π)-generalized hybrid multi-valued mappings, the set of all the common attractive points (CAf,g) and the set of all the common strongly attractive points (CsAf,g), respectively for the multi-valued ...
Lili Chen, Ni Yang, Jing Zhou
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Fixed Points of Generalized Contractive Multi-valued Mappings
Journal of Mathematical Analysis and Applications, 1995 In a recent paper N. Mizoguchi and W. Takahashi gave a positive answer to the conjecture of S. Reich concerning the existence of fixed points of multi-valued mappings that satisfy a certain contractive condition.
Kaneko, Hideaki +3 more
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Operator algebras associated with multi-valued mappings [PDF]
Lobachevskii Journal of Mathematics, 2014 In the paper a new approach is proposed to construction of operator algebras generated by multi-valued mappings on a countable set. We present initial results, discuss the connection with known structures, outline further research directions.
Grigoryan S. +2 more
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Viscosity Approximation Methods for
Axioms, 2020 In this paper, we prove convergence theorems for viscosity approximation processes involving * −nonexpansive multi-valued mappings in complete convex metric spaces.
Azadeh Ghanifard +3 more
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Journal of Inequalities and Applications, 2011 In this article, we define a tangential property which can be used not only for single-valued mappings but also for multi-valued mappings, and used it in the prove for the existence of a common fixed point theorems of Gregus type for four mappings ...
Sintunavarat Wutiphol, Kumam Poom
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Two Step Modified Ishikawa Iteration Scheme for Multi-Valued Mappings in CAT(0) Space
International Journal of Analysis and Applications, 2013 The aim of this paper is to prove some strong convergence theorems for the modified Ishikawa iteration scheme involving quasi-nonexpansive multi-valued mappings in the framework of CAT(0) spaces.
Pankaj Kumar Jhade, A. S. Saluja
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New Results on Start-Points for Multi-Valued Maps [PDF]
Axioms, 2020 In this manuscript we investigate the existence of start-points for the generalized weakly contractive multi-valued mappings in the setting of left K-complete quasi-pseudo metric space. We provide an example to support the given result.
Yaé Ulrich Gaba +3 more
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