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Optimality and Duality for Nonsmooth Fractional Robust Optimization Problems with $(V, \rho)$-Invexity

김문희
영남수학회 (Youngnam Mathematical Society)|2019.05|East Asian Mathematical Journal|제35권 제3호|pp. 289-296

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키워드

fractional optimization problemoptimality theoremduality.
주제분류수학

초록

We establish necessary and sufficient optimality conditions for a nonsmooth fractional robust optimization programming problems. Moreover, we prove the weak and strong duality theorems under (V,ρ)- invexity assumption.

Abstract

We establish necessary and sufficient optimality conditions for a nonsmooth fractional robust optimization programming problems. Moreover, we prove the weak and strong duality theorems under (V,ρ)- invexity assumption.

참고문헌 (9)

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  2. J. M. Danskin, Jr., "The Theory of Max-Min and its Application to Weapons Allocation Problems" (1967), Springer-Verlag
  3. 김문희, "ON OPTIMALITY AND DUALITY FOR GENERALIZED NONDIFFERENTIABLE FRACTIONAL OPTIMIZATION PROBLEMS", 대한수학회논문집, 25(1), pp.139~147 (2010), 대한수학회
  4. 김귀수, "OPTIMALITY AND DUALITY FOR NONDIFFERENTIABLE FRACTIONAL PROGRAMMING WITH GENERALIZED INVEXITY", 충청수학회지, 29(3), pp.465~475 (2016), 충청수학회
  5. 이규명, "Robust duality for nonsmooth multiobjective optimization problems", 충청수학회지, 30(1), pp.31~40 (2017), 충청수학회
  6. G. M. Lee, "On nonsmooth optimality theorems for robust multiobjective optimization problems", Journal of Nonlinear and Convex Analysis, 16, pp.2039~2052 (2015)
  7. 이규명, "On nonsmooth Optimality theorems for robust optimization problems", 대한수학회보, 51(1), pp.287~301 (2014), 대한수학회
  8. H. Kuk, "Nonsmooth multiobjective programs with (V,ρ)-invexity", Indian Journal of Pure and Applied Mathematics, 29, pp.405~412 (1998)
  9. M.M. Maklela, "Nonsmooth Optimization: Analysis and Algorithms with Applications to Optimal Control" (1992), World Scientific Publishing Co. Pte. Ltd

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