• 제목/요약/키워드: Fan's section theorem

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Some generalized weak vector quasivariational-like inequalities for fuzzy mappings

  • Lee Byung-Soo;Cho Hyun-Duk
    • International Journal of Fuzzy Logic and Intelligent Systems
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    • 제6권1호
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    • pp.70-76
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    • 2006
  • Some Stampacchia type of generalized weak vector quasivariational-like inequalities for fuzzy mappings was introduced and the existence of solutions to them under non-compact assumption was considered using the particular form of the generalized Ky Fan's section theorem due to Park [15]. As a corollary, Stampacchia type of generalized vector quasivariational-like inequalities for fuzzy mappings was studied under compact assumption using Ky Fan's section theorem [7].

Variational-Type Inequalities on Reflexive Banach Spaces

  • Lee, Byung-Soo;Lee, Suk-Jin;Jung, Doo-Young
    • 한국수학교육학회지시리즈E:수학교육논문집
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    • 제8권
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    • pp.273-278
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    • 1999
  • In this paper, we consider the existence of solutions to the variational-type inequalities for single-valued mappings and set-valued mappings on reflexive Banach spaces using Fan's section theorem.

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GENERALIZED VECTOR QUASIVARIATIONAL-LIKE INEQUALITIES

  • KANG, MEE-KWANG;LEE, BYUNG-SOO
    • 호남수학학술지
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    • 제26권4호
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    • pp.533-547
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    • 2004
  • In this paper, we introduce two kinds of generalized vector quasivariational-like inequalities for multivalued mappings and show the existence of solutions to those variational inequalities under compact and non-compact assumptions, respectively.

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GENERALIZED FUZZY WEAK VECTOR QUASIVARIATIONAL-LIKE INEQUALITIES

  • LEE, BYUNG-SOO
    • 호남수학학술지
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    • 제27권3호
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    • pp.445-463
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    • 2005
  • In this paper, we introduce a Stampacchia type of generalized weak vector quasivariational-like inequalities for fuzzy mappings and consider the existence of solutions to them under non-compact assumption.

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