On Nash theorem
Władysław Kulpa, Andrzej Szymański (2002)
Acta Universitatis Carolinae. Mathematica et Physica
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Władysław Kulpa, Andrzej Szymański (2002)
Acta Universitatis Carolinae. Mathematica et Physica
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Władysław Kulpa (1997)
Acta Universitatis Carolinae. Mathematica et Physica
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Władysław Kulpa (2005)
Acta Universitatis Carolinae. Mathematica et Physica
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Xie Ding, Kok-Keong Tan (1992)
Colloquium Mathematicae
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Ky Fan’s minimax inequality [8, Theorem 1] has become a versatile tool in nonlinear and convex analysis. In this paper, we shall first obtain a minimax inequality which generalizes those generalizations of Ky Fan’s minimax inequality due to Allen [1], Yen [18], Tan [16], Bae Kim Tan [3] and Fan himself [9]. Several equivalent forms are then formulated and one of them, the maximal element version, is used to obtain a fixed point theorem which in turn is applied to obtain an existence...