Fixed-point and coincidence theorems for set-valued maps with nonconvex or noncompact domains in topological vector spaces.
Włodarczyk, Kazimierz, Klim, Dorota (2003)
Abstract and Applied Analysis
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Displaying similar documents to “Transfer positive hemicontinuity and zeros, coincidences, and fixed points of maps in topological vector spaces.”
Fixed-point and coincidence theorems for set-valued maps with nonconvex or noncompact domains in topological vector spaces.
KKM theorem with applications to lower and upper bounds equilibrium problem in -convex spaces.
Fakhar, M., Zafarani, J. (2003)
International Journal of Mathematics and Mathematical Sciences
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Admissible maps, intersection results, coincidence theorems
Mircea Balaj (2001)
Commentationes Mathematicae Universitatis Carolinae
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We obtain generalizations of the Fan's matching theorem for an open (or closed) covering related to an admissible map. Each of these is restated as a KKM theorem. Finally, applications concerning coincidence theorems and section results are given.
Birkhoff-Kellogg theorems on invariant directions for multimaps.
Agarwal, Ravi P., O'Regan, Donal (2003)
Abstract and Applied Analysis
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Generalizations of the Fan-Browder fixed point theorem and minimax inequalities
Mircea Balaj, Sorin Muresan (2005)
Archivum Mathematicum
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In this paper fixed point theorems for maps with nonempty convex values and having the local intersection property are given. As applications several minimax inequalities are obtained.
Fixed points of condensing multivalued maps in topological vector spaces.
Kim, In-Sook (2004)
Fixed Point Theory and Applications [electronic only]
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Coincidence theorems for set-valued maps with g-kkm property on generalized convex space
Lai-Jiu Lin, Ching-Jung Ko, Sehie Park (1998)
Discussiones Mathematicae, Differential Inclusions, Control and Optimization
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In this paper, a set-valued mapping with G-KKM property is defined and a generalization of minimax theorem for set-valued maps with G-KKM property on generalized convex space is established. As a consequence of this results we verify the coincidence theorem for set-valued maps with G-KKM property on G-convex space. Finally, we apply our results to the best approximation problem and fixed point problem.