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학술저널

ON SOME GENERALIZED OPERATOR EQUILIBRIUM PROBLEMS

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In this paper, we will introduce the generalized oper-ator 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 ¯xed 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.

1. Introduction

2. Preliminaries

3. A Solution for (GOEP) in non-compact settings

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