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Can I read Approximate Optimality Conditions and Duality Results for Non-smooth Semi-infinite Programming Problems on EtoBox?
Approximate Optimality Conditions and Duality Results for Non-smooth Semi-infinite Programming Problems by Tamanna Yadav; S. K. Gupta is a Computer Science article available to read on EtoBox.
What is Approximate Optimality Conditions and Duality Results for Non-smooth Semi-infinite Programming Problems about?
This paper concentrates on investigating a semi-infinite optimization problem with cone constraints. Under the attainment of Abadie constraint qualification, an approximate necessary optimality condition by employing Clarke subdifferential for the semi-infinite optimization problem having cone constraints is developed. A new class of functions namely Qquasiconvex functions is introduced and in the light of the approximate pseudoconvexity and Q-quasiconvexity assumptions, an approximate sufficient optimality condition is investigated using locally Lipschitz functions. Additionally, we formulate the approximate Wolfe's and approximate Mond-Weir dual problems for the non-smooth semi-infinite optimization problem. Subsequently, duality relations in terms of weak, strong and converse results between the semi-infinite optimization model and the aforementioned dual problems are established under the approximate pseudoconvexity and Qquasiconvexity assumptions. Moreover, to justify the main results of the paper, numerical examples have been shown at suitable places.
Who reads Approximate Optimality Conditions and Duality Results for Non-smooth Semi-infinite Programming Problems?
It is typically read by researchers, students, and practitioners in Computer Science.
- Author
- Tamanna Yadav; S. K. Gupta
- Publisher
- Informa UK Limited
- Published
- 2023
- Language
- EN
- Field
- Computer Science (Physical Sciences)