A General Scalar-Valued Gap Function for Nonsmooth Multiobjective Semi-Infinite Programming

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REZAYI A.

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Paper Information

Journal: CONTROL AND OPTIMIZATION IN APPLIED MATHEMATICS Year:2018 | Volume:3 | Issue:2 Page(s): 13-26

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Information Journal Paper

Title

A General Scalar-Valued Gap Function for Nonsmooth Multiobjective Semi-Infinite Programming

Author(s)

REZAYI A. | Issue Writer Certificate

Keywords

Semi-infinite programming

Multiobjective optimization

Constraint qualification

Optimality conditions

Gap function

Abstract

For a nonsmooth multiobjective mathematical programming problem governed by infinitely many constraints, we define a new Gap function that generalizes the definitions of this concept in other articles. Then, we characterize the efficient, weakly efficient, and properly efficient solutions of the problem utilizing this new Gap function. Our results are based on (Φ , ρ )− invexity, defined by Clarke subdifferential.

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APA: Copy

REZAYI, A.. (2018). A General Scalar-Valued Gap Function for Nonsmooth Multiobjective Semi-Infinite Programming. CONTROL AND OPTIMIZATION IN APPLIED MATHEMATICS, 3(2 ), 13-26. SID. https://sid.ir/paper/361241/en

Vancouver: Copy

REZAYI A.. A General Scalar-Valued Gap Function for Nonsmooth Multiobjective Semi-Infinite Programming. CONTROL AND OPTIMIZATION IN APPLIED MATHEMATICS[Internet]. 2018;3(2 ):13-26. Available from: https://sid.ir/paper/361241/en

IEEE: Copy

A. REZAYI, “A General Scalar-Valued Gap Function for Nonsmooth Multiobjective Semi-Infinite Programming,” CONTROL AND OPTIMIZATION IN APPLIED MATHEMATICS, vol. 3, no. 2 , pp. 13–26, 2018, [Online]. Available: https://sid.ir/paper/361241/en

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