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Densely Defined Equilibrium Problems
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It is known (for details see, Traub, Wasilkowski, and Wofniakowski, 1988, “Information-Based Complexity,” Academic Press, New York) that a linear problem with solution operator S: X --f Y in the probabilistic or average case setting has finite e-complexity with respect to a probability measure k iff S E L2(X, CL; Y) or, equivalently, iff I E L2( Y, h 0 S-i; Y) where I denotes the identity opera...
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ژورنال
عنوان ژورنال: Journal of Optimization Theory and Applications
سال: 2015
ISSN: 0022-3239,1573-2878
DOI: 10.1007/s10957-014-0702-8