Well-Posedness for Generalized Set Equilibrium Problems
Author(s) -
Yen-Cherng Lin
Publication year - 2013
Publication title -
abstract and applied analysis
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.228
H-Index - 56
eISSN - 1687-0409
pISSN - 1085-3375
DOI - 10.1155/2013/419053
Subject(s) - mathematics , set (abstract data type) , space (punctuation) , well posed problem , mathematical optimization , computer science , operating system , programming language
We study the well-posedness for generalized set equilibrium problems (GSEP) and propose two types of the well-posed concepts for these problems in topological vector space settings. These kinds of well-posedness arise from some well-posedness in the vector settings. We also study the relationship between these well-posedness concepts and present several criteria for the well-posedness of GSEP. Our results are new or include as special cases recent existing results
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