Boundedness and nonemptiness of solution sets for set-valued vector equilibrium problems with an application.
Zhong, Ren-You, Huang, Nan-Jing, Cho, Yeol Je (2011)
Journal of Inequalities and Applications [electronic only]
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Zhong, Ren-You, Huang, Nan-Jing, Cho, Yeol Je (2011)
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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Plubtieng, Somyot, Sombut, Kamonrat (2010)
Journal of Inequalities and Applications [electronic only]
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Wang, Sanhua, Li, Qiuying (2011)
Fixed Point Theory and Applications [electronic only]
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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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Khaliq, Abdul, Rashid, Mohammad (2005)
Fixed Point Theory and Applications [electronic only]
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Li, Xi, Kim, Jong Kyu, Huang, Nan-Jing (2010)
Journal of Inequalities and Applications [electronic only]
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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...
Giovanni P. Crespi, Ivan Ginchev, Matteo Rocca (2005)
RAIRO - Operations Research - Recherche Opérationnelle
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The existence of solutions to a scalar Minty variational inequality of differential type is usually related to monotonicity property of the primitive function. On the other hand, solutions of the variational inequality are global minimizers for the primitive function. The present paper generalizes these results to vector variational inequalities putting the Increasing Along Rays (IAR) property into the center of the discussion. To achieve that infinite elements in the image space are...
Noor, Muhammad Aslam, Noor, Khalida Inayat (2010)
Applied Mathematics E-Notes [electronic only]
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Fulina, Silvia (2006)
Analele Ştiinţifice ale Universităţii “Ovidius" Constanţa. Seria: Matematică
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Peng, Jian-Wen, Yang, Xin-Min (2006)
Journal of Inequalities and Applications [electronic only]
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Peng, Jian Wen (2010)
Fixed Point Theory and Applications [electronic only]
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