Let be a real reflexive Banach space, a nonempty, closed and convex set, and (the family of all the subsets of ) be a multi-valued mapping. In this paper, we consider the following extended inclusion problem: find such that . Under suitable conditions, we establish an existence result for the extended inclusion problem. As applications, we give some existence theorems for equilibrium problems.
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Nan-jing Huang, Ya-ping Fang, An Existence Result for a Class of Extended Inclusion Problems with Applications to Equilibrium Problems. Z. Anal. Anwend. 25 (2006), no. 2, pp. 257–264DOI 10.4171/ZAA/1288