• 제목/요약/키워드: weak vector quasivariational-like inequality

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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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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].

A STRONG SOLUTION FOR THE WEAK TYPE II GENERALIZED VECTOR QUASI-EQUILIBRIUM PROBLEMS

  • Kim, Won-Kyu;Kum, Sang-Ho
    • 대한수학회보
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    • 제43권3호
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    • pp.599-610
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    • 2006
  • The aim of this paper is to give an existence theorem for a strong solution of generalized vector quasi-equilibrium problems of the weak type II due to Hou et al. using the equilibrium existence theorem for 1-person game, and as an application, we shall give a generalized quasivariational inequality.