MATHEMATICAL PROGRAMMING IN PARTIALLY ORDERED BANACH SPACES.
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WISCONSIN UNIV MADISON MATHEMATICS RESEARCH CENTER
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The purpose of this paper is to derive several necessary and sufficient conditions for the optimal solution of a mathematical programming problem in partially ordered Banach spaces. It is assumed that the objective function of this problem is defined by a nonlinear operator and its feasible domain is determined by a finite number of operator equations and inequalities as well as the restriction of the variable to an arbitrary convex set. Author
- Operations Research