Infine functions, nonsmooth alternative theorems and vector optimization problems.
https://doi.org/10.1023/A:1024698418606Publisher, magazine: ,
Publication year: 2003
Lưu Trích dẫn Chia sẻAbstract
We introduce a new notion of infine nonsmooth functions and give several characterizations of infineness property. We prove alternative theorems with mixed constraints (i.e., inequality and equality constraints) being described by invex-infine nonsmooth functions. We establish a necessary and sufficient condition for a solution of a vector optimization problem involving mixed constraints to be a properly efficient solution.
Tags: Equality Constraint, Real Function, Efficient Solution, Vector Optimization, Vector Optimization Problem
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