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Let C be a closed bounded convex subset of a Banach space X with 0 being an interior point of C and pC(.) be the Minkowski functional with respect to C. A generalized mutually maximization problem is said to be well posed if it has a unique solution (x, z) and every maximizing sequence converges strongly to (x, z). Under the assumption that the modulus of convexity with respect to pC(.) is strictly...
Let C be a closed bounded convex subset of a Banach space X with 0 being an interior point of C and pC (.) be the Minkowski functional with respect to C. A generalized mutually maximization problem maxC (F, G) is said to be well posed if it has a unique solution (x, z) and every maximizing sequence converges strongly to (x, z). Under the assumption that C is both strictly convex and Kadec, G is a...
Let C be a closed bounded convex subset of a Banach space X with 0 being an interior point of C and pC(.) be the Minkowski functional with respect to C. Let B(X) be the family of nonempty bounded closed subset of X endowed with the Hausdorff distance. A generalized mutually minimization problem minC(F,G) is said to be well posed if it has a unique solution (x. z) and every minimizing sequence converges...
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