A generalization of Minty's lemma and its applications to generalized mixed vector equilibrium problems

Autor:	Siegfried Schaible, Jen-Chih Yao, Lu-Chuan Ceng
Rok vydání:	2007
Předmět:	Combinatorics Lemma (mathematics) Class (set theory) Pure mathematics Control and Optimization Generalization Kelvin–Stokes theorem Applied Mathematics Variational inequality Existence theorem Version vector Management Science and Operations Research Mathematics
Zdroj:	Optimization. 56:565-576
ISSN:	1029-4945 0233-1934
DOI:	10.1080/02331930701617510
Popis:	In this article, we introduce and study a class of generalized mixed vector equilibrium problems for multifunctions, which includes as special cases a number of generalized vector variational inequalities, generalized vector variational-like inequalities and generalized vector equilibrium problems. We first establish a new vector version of Minty's lemma, and then prove an existence theorem of solutions for the generalized mixed vector equilibrium problems by using this result. Furthermore, this existence theorem is applied to obtain a new existence result of solutions for a class of generalized vector variational-like inequalities. ¶Dedicated to the memory of Prof. Dr Alexander Moiseevich Rubinov.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::23bb4e94ff05325d42e5260f9a349953 https://doi.org/10.1080/02331930701617510 Zobrazit plný text záznamu