Abstract
In this paper we introduce the concepts of well-posedness and generalized well-posedness for a system of equilibrium problems. We derive a metric characterization of well-posedness by considering the diameter of approximating solution set and a Furi-Vignoli type characterization of generalized well-posedness by considering the Kuratowski noncompactness measure of approximating solution set. Under suitable conditions, we prove that the well-posedness of a system of equilibrium problems is equivalent to the existence and uniqueness of its solution.
Citation
Rong Hu. Ya-Ping Fang. Nan-Jing Huang. Mu-Ming Wong. "Well-posedness of Systems of Equilibrium Problems." Taiwanese J. Math. 14 (6) 2435 - 2446, 2010. https://doi.org/10.11650/twjm/1500406083
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