GENERALIZED VECTOR MINTY'S LEMMA

한국수학교육학회지시리즈B:순수및응용수학 / Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, (P)1226-0657; (E)2287-6081

2012, v.19 no.3, pp.281-288

https://doi.org/10.7468/jksmeb.2012.19.3.281

Lee, Byung-Soo (Department of Mathematics, Kyungsung University)

Lee, Byung-Soo. (2012). GENERALIZED VECTOR MINTY'S LEMMA. 한국수학교육학회지시리즈B:순수및응용수학, 19(3), 281-288, https://doi.org/10.7468/jksmeb.2012.19.3.281

복사

Abstract

In this paper, the author defines a new generalized <TEX>${\eta}$</TEX>, <TEX>${\delta}$</TEX>, <TEX>${\alpha}$</TEX>)-pseudomonotone mapping and considers the equivalence of Stampacchia-type vector variational-like inequality problems and Minty-type vector variational-like inequality problems for generalized (<TEX>${\eta}$</TEX>, <TEX>${\delta}$</TEX>, <TEX>${\alpha}$</TEX>)-pseudomonotone mappings in Banach spaces, called the generalized vector Minty's lemma.

keywords: Convex cone, Convex mapping, Ordered Banach space, Hausdorff metric, Generalized (<tex> ${\eta}$</tex>, <tex> ${\delta}$</tex>, <tex> ${\alpha}$</tex>)-pseudomonotone, Minty's lemma, Minty-type vector variational-like inequality problem, Stampacchia-type vector variational-like inequality problem

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논문 상세

Vol.19 No.3

GENERALIZED VECTOR MINTY'S LEMMA

GENERALIZED VECTOR MINTY'S LEMMA

Abstract

참고문헌

한국수학교육학회지시리즈B:순수및응용수학