Fixed point theorems and variational inequalities with non-compact sets.
Xiang, Fangni, Debnath, Lokenath (1996)
International Journal of Mathematics and Mathematical Sciences
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Xiang, Fangni, Debnath, Lokenath (1996)
International Journal of Mathematics and Mathematical Sciences
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Park, Sehie, Chen, Ming-Po (1998)
Journal of Inequalities and Applications [electronic only]
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Plubtieng, Somyot, Sombut, Kamonrat (2010)
Journal of Inequalities and Applications [electronic only]
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Ceng, Lu-Chuan, Guu, Sy-Ming, Yao, Jen-Chih (2007)
Journal of Inequalities 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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Ching-Yan Lin, Liang-Ju Chu (2003)
Discussiones Mathematicae, Differential Inclusions, Control and Optimization
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In this paper, a general existence theorem on the generalized variational inequality problem GVI(T,C,ϕ) is derived by using our new versions of Nikaidô's coincidence theorem, for the case where the region C is noncompact and nonconvex, but merely is a nearly convex set. Equipped with a kind of V₀-Karamardian condition, this general existence theorem contains some existing ones as special cases. Based on a Saigal condition, we also modify the main theorem to obtain another existence theorem...
Addou, A., Mermri, E.B. (2001)
International Journal of Mathematics and Mathematical Sciences
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Verma, Ram U. (2000)
Journal of Applied Mathematics and Stochastic Analysis
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Liana Cioban, Ernö Csetnek (2013)
Open Mathematics
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Based on conjugate duality we construct several gap functions for general variational inequalities and equilibrium problems, in the formulation of which a so-called perturbation function is used. These functions are written with the help of the Fenchel-Moreau conjugate of the functions involved. In case we are working in the convex setting and a regularity condition is fulfilled, these functions become gap functions. The techniques used are the ones considered in [Altangerel L., Boţ...
Nessah, Rabia, Larbani, Moussa (2005)
International Journal of Mathematics and Mathematical Sciences
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Behera, Akrur, Das, Prasanta Kumar (2006)
International Journal of Mathematics and Mathematical Sciences
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Ceng, Lu-Chuan, Lin, Yen-Cherng, Yao, Jen-Chih (2007)
Journal of Inequalities and Applications [electronic only]
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Liu, Zeqing, Ume, Jeong Sheok, Kang, Shin Min (2003)
International Journal of Mathematics and Mathematical Sciences
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