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  • P-ISSN3059-0604
  • E-ISSN3059-1309
  • KCI

ISSN : 3059-0604

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Vol.9 No.1

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

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

한국수학교육학회지시리즈B:순수및응용수학 / Journal of the Korean Society of Mathematical Education Series B: Theoretical Mathematics and Pedagogical Mathematics, (P)3059-0604; (E)3059-1309
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, 9(1), 47-55.

Abstract

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

한국수학교육학회지시리즈B:순수및응용수학

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