An invex constrained nonsmooth optimization problem is considered, in which the presence of an abstract constraint set is possibly allowed. Necessary and sufficient conditions of optimality are provided and weak and s...
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An approach to approximating solutions in vector optimization is developed for vector optimization problems with arbitrary ordering cones. This paper presents a study of approximately efficient points of a given set w...
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The aim of this paper is to give necessary conditions for extremality in terms of an abstract subdifferential and to obtain general separation theorems including both finite and infinite classical separation theorems....
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Rueda and Hanson have given sufficient optimality criteria for a nonlinear programming problem by introducing pseudo-type I and quasi-type I functions. Recently Hanson defined second order type-I functions. In this pa...
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Rueda and Hanson have given sufficient optimality criteria for a nonlinear programming problem by introducing pseudo-type I and quasi-type I functions. Recently Hanson defined second order type-I functions. In this paper, second order pseudo-type I, second order quasi-type I, and their natural generalizations are defined and applied to second order duality results for several mathematical programs.
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