G-H-KKM selections with applications to minimax theorems.
Verma, Ram U. (2000)
Journal of Applied Mathematics and Stochastic Analysis
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Verma, Ram U. (2000)
Journal of Applied Mathematics and Stochastic Analysis
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Farajzadeh, A.P., Amini-Harandi, A., O'Regan, D. (2008)
Abstract and Applied Analysis
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Chen, Y.Q., Cho, Y.J., Kim, J.K., Lee, B.S. (2006)
Fixed Point Theory and Applications [electronic only]
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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.
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.
Bîrsan, T. (1998)
Balkan Journal of Geometry and its Applications (BJGA)
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Lin, Yen-Cherng, Chen, Hsin-Jung (2011)
Fixed Point Theory and Applications [electronic only]
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Mourad Oudghiri (2004)
Studia Mathematica
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We study Weyl's and Browder's theorem for an operator T on a Banach space such that T or its adjoint has the single-valued extension property. We establish the spectral mapping theorem for the Weyl spectrum, and we show that Browder's theorem holds for f(T) for every f ∈ 𝓗 (σ(T)). Also, we give necessary and sufficient conditions for such T to obey Weyl's theorem. Weyl's theorem in an important class of Banach space operators is also studied.