대한수학회논문집 (Communications of the Korean Mathematical Society)

  • 제24권4호
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  • Pages.523-528
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  • 2009
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  • 1225-1763(pISSN)
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  • 2234-3024(eISSN)
대한수학회 (Korean Mathematical Society)
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A NEW VECTOR QUASI-EQUILIBRIUM-LIKE PROBLEM

  • 발행 : 2009.10.31
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초록

In this paper, we consider the existence of solutions to some generalized vector quasi-equilibrium-like problem under a c-diagonal quasi-convexity assumptions, but not monotone concepts. For an example, in the proof of Theorem 1, the c-diagonally quasi-convex concepts of a set-valued mapping was used but monotone condition was not used. Our problem is a new kind of equilibrium problems, which can be compared with those of Hou et al. [4].

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참고문헌

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