충청수학회지 (Journal of the Chungcheong Mathematical Society)
- 제20권1호
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- Pages.59-64
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- 2007
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- 1226-3524(pISSN)
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- 2383-6245(eISSN)
ON SOME GENERALIZED OPERATOR EQUILIBRIUM PROBLEMS
- Kim, Won Kyu (Department of Mathematics Education Chungbuk National University)
- 투고 : 2007.01.30
- 발행 : 2007.03.31
초록
In this paper, we will introduce the generalized operator equlibrium problem and generalized operator quasi-equlibrium problem which generalize operator equlibrium problem due to Kazmi and Raouf into multi-valued and quasi-equlibrium problems. Using a Park's fixed point theorem, we will prove a new existence theorem on generalized operator equlibrium problem which serves as a basic existence theorem for various kinds of nonlinear problems.