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  • P-ISSN1226-0657
  • E-ISSN2287-6081
  • KCI

ISSN : 1226-0657

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Vol.9 No.1

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

Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics / 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
Noh, Jae-Duk
Lee,, B. , & Noh,, J. (2002). MINTY'S LEMMA FOR ( ; )-PSEUDOMONOTONE-TYPESET-VALUED MAPPINGS AND APPLICATIONS. Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, 9(1), 47-55.

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

Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics

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