On the existence result for system of generalized strong vector quasiequilibrium problems.
Plubtieng, Somyot, Sitthithakerngkiet, Kanokwan (2011)
Fixed Point Theory and Applications [electronic only]
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Plubtieng, Somyot, Sitthithakerngkiet, Kanokwan (2011)
Fixed Point Theory and Applications [electronic only]
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Wang, Sanhua, Li, Qiuying (2011)
Fixed Point Theory and Applications [electronic only]
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S. M. Robinson (1989)
Annales de l'I.H.P. Analyse non linéaire
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Plubtieng, Somyot, Sitthithakerngkiet, Kanokwan (2011)
Fixed Point Theory and Applications [electronic only]
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Peng, Jian-Wen, Yang, Xin-Min (2006)
Journal of Inequalities and Applications [electronic only]
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Mau-Hsiang Shih, Kok-Keong Tan (1984)
Studia Mathematica
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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...
Peng, Jian Wen, Zhu, Dao Li (2006)
Journal of Inequalities and Applications [electronic only]
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Farajzadeh, A.P., Amini-Harandi, A., O'Regan, D. (2008)
Abstract and Applied Analysis
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Lin, Yen-Cherng, Chen, Hsin-Jung (2011)
Fixed Point Theory and Applications [electronic only]
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Abderrahim Jourani (1996)
Studia Mathematica
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We extend the open mapping theorem and inversion theorem of Robinson for convex multivalued mappings to γ-paraconvex multivalued mappings. Some questions posed by Rolewicz are also investigated. Our results are applied to obtain a generalization of the Farkas lemma for γ-paraconvex multivalued mappings.