Results 1 to 10 of about 43,330 (108)
The Hyers theorem via the Markov–Kakutani fixed point theorem [PDF]
Journal of Fixed Point Theory and Applications, 2012 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Barbara Przebieracz
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A proof of the Mazur-Orlicz theorem via the Markov-Kakutani common fixed point theorem, and vice versa [PDF]
Fixed Point Theory and Applications, 2015 AbstractIn this paper, we present a new proof of the Mazur-Orlicz theorem, which uses the Markov-Kakutani common fixed point theorem, and a new proof of the Markov-Kakutani common fixed point theorem, which uses the Mazur-Orlicz theorem.
Barbara Przebieracz
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Kakutani-Fan's Fixed Point Theorem in Hyperspaces [PDF]
Tokyo Journal of Mathematics, 2001 The article deals with some variants of Kakutani-Fan's fixed point theorem in hyperspaces \({\mathcal K}\) (endowed with the Pompeiu-Hausdorff metric \(h)\) of all non-empty convex bounded closed subsets of a real Banach space \(\mathbb{K}\). In particular, the authors prove that, for each \(h\)-upper semicontinuous and \({\mathcal K}\)-compact ...
F. S. de Blasi, Pando Georgiev
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A Digital Version of the Kakutani Fixed Point Theorem for Convex-valued Multifunctions
Electronic Notes in Theoretical Computer Science, 2001 AbstractIn this paper, the concepts of power graphs and power complexes are introduced. The multifunctions for graphs are denned and will be classified. The concept of simplicial mappings for complexes then is extended to multifunctions. A notion of weak convexity is defined in the intersection graphs of (3− 1)-adjacent n-dimensional real digital ...
Michael Smyth, Rueiher Tsaur
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A fixed point theorem of Markov-Kakutani type for a commuting family of convex multivalued maps [PDF]
Fixed Point Theory, 2017 Let Γ be a commuting family of upper semicontinuous convex multivalued maps of K into itself with nonempty closed values, where K is a nonempty compact convex subset of a locally convex Hausdorff topological vector space E.
Xiongping Dai
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Some applications of the Kakutani fixed point theorem
Journal of Mathematical Analysis and Applications, 1987 The famous Ky Fan theorem, leading to many non-trivial applications in nonlinear functional analysis, is based on the theorem on closed coverings of a simplex. The authors prove a likewise theorem using open coverings. The main theorem is as follows. Let C be a nonempty closed convex subset in a Hausdorff topological vector space E and \(F: C\to 2^ C\)
Won Kyu Kim
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Application of the Brouwer and the Kakutani fixed-point theorems to a discrete equation with a double singular structure [PDF]
Fixed Point Theory and Applications, 2018 Applying the method consisting of a combination of the Brouwer and the Kakutani fixed-point theorems to a discrete equation with a double singular structure, that is, to a discrete singular equation of which the denominator contains another discrete ...
Minoru Tabata, Nobuoki Eshima
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The Kakutani fixed point theorem for Roberts spaces
Topology and its Applications, 2002 The author generalizes Kakutani's fixed point theorem for weakly admissible spaces (see \textit{N. T. Nhu} [Topology Appl. 68, 1-12; (1996; Zbl 0848.47038)]). An application to the nonlinear alternative for weakly admissible spaces is given.
T. Okon
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Generalization of the Markov - Kakutani fixed point theorem [PDF]
Functional Analysis and Its Applications, 1980 A. I. Loginov
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A note on Kakutani type fixed point theorems [PDF]
International Journal of Mathematics and Mathematical Sciences, 1999 We present Kakutani type fixed point theorems for certain semigroups of self maps by relaxing conditions on the underlying set, family of self maps, and the mappings themselves in a locally convex space setting.
Abdul Rahim Khan +2 more
openalex +4 more sources