Nonsmooth Interval-Valued Optimization and Saddle-Point Optimality Criteria
| Autor: | Anurag Jayswal, Jonaki Banerjee, Izhar Ahmad |
|---|---|
| Rok vydání: | 2015 |
| Předmět: |
Mathematical optimization
021103 operations research Optimization problem General Mathematics 0211 other engineering and technologies Duality (optimization) 010103 numerical & computational mathematics 02 engineering and technology 01 natural sciences Interval valued symbols.namesake Saddle point symbols Dual polyhedron 0101 mathematics Lagrangian Mathematics |
| Zdroj: | Bulletin of the Malaysian Mathematical Sciences Society. 39:1391-1411 |
| ISSN: | 2180-4206 0126-6705 |
| DOI: | 10.1007/s40840-015-0237-7 |
| Popis: | In this article, we focus our attention on a nonsmooth interval-valued optimization problem and establish sufficient optimality conditions for a feasible solution to be an LU optimal solution under the invexity assumption. Appropriate duality theorems for Wolfe and Mond–Weir-type duals are presented in order to relate the LU optimal solution of primal and dual programs. Moreover, saddle-point-type optimality conditions are established in order to find relation between LU optimal solution of primal and saddle point of Lagrangian function. |
| Databáze: | OpenAIRE |
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