MINTY'S LEMMA FOR ( ; )-PSEUDOMONOTONE-TYPESET-VALUED MAPPINGS AND APPLICATIONS

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

2002, v.9 no.1, pp.47-55

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

Lee, Byung-Soo, & Noh, Jae-Duk. (2002). MINTY′S LEMMA FOR (<TEX>${\theta}, {\eta}$</TEX>)-PSEUDOMONOTONE-TYPE SET-VALVED MAPPINGS AND APPLICATIONS. 한국수학교육학회지시리즈B:순수및응용수학, 9(1), 47-55.

복사

Abstract

In this pope., we consider a Minty's lemma for (<TEX>$\theta ,\eta$</TEX>)-pseudomonotone-type set-valued mappings in real Banach spaces and then we show the existence of solutions to variational-type inequality problems for (<TEX>$\theta ,\eta$</TEX>)-pseudomonotone-type set-valued mappings in nonreflexive Banach spaces.

keywords: variational-type inequalities, (<tex> ${\theta}, {\eta}$</tex>)-pseudomonotone-type, Minty's lemma, nonreflexive Banach spaces, hemicontinuity

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논문 상세

Vol.9 No.1

MINTY′S LEMMA FOR (<TEX>${\theta}, {\eta}$</TEX>)-PSEUDOMONOTONE-TYPE SET-VALVED MAPPINGS AND APPLICATIONS

MINTY'S LEMMA FOR ( ; )-PSEUDOMONOTONE-TYPESET-VALUED MAPPINGS AND APPLICATIONS

Abstract

한국수학교육학회지시리즈B:순수및응용수학