Optimality conditions for $${\varvec{\epsilon }}$$ ϵ -quasi solutions of optimization problems via $${\varvec{\epsilon }}$$ ϵ -upper convexificators with applications
| Autor: | Adela Capătă |
|---|---|
| Rok vydání: | 2018 |
| Předmět: |
021103 operations research
Control and Optimization Optimization problem 0211 other engineering and technologies Order (ring theory) 010103 numerical & computational mathematics 02 engineering and technology 01 natural sciences Scalar optimization Vector optimization Applied mathematics Equilibrium problem Point (geometry) 0101 mathematics Mathematics |
| Zdroj: | Optimization Letters. 13:857-873 |
| ISSN: | 1862-4480 1862-4472 |
| DOI: | 10.1007/s11590-018-1287-1 |
| Popis: | The aim of this paper is to provide necessary and sufficient conditions for a point to be an $$\epsilon $$ -quasi solution of a scalar optimization problem via $$\epsilon $$ -convexificators. Then, the main results are applied in order to obtain necessary conditions for approximate solutions of a vector optimization problem with constraints, which, at its turn, provides necessary conditions for $$\epsilon $$ -quasi efficient solutions of a vector equilibrium problem with constraints. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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