Generalized invexity and duality theories with multifunctions

DOI10.1080/01630569408816555zbMath0808.90129OpenAlexW2086316338MaRDI QIDQ4291891

Bruce D.Craven, Pham Hu'u Sach, Nguyen Dong Yen

Publication date: 15 May 1994

Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/01630569408816555

zbMATH Keywords

duality theoriesinvexity for multifunctions

Mathematics Subject Classification ID

Nonsmooth analysis (49J52) Set-valued functions (26E25) Programming in abstract spaces (90C48) Convexity of real functions of several variables, generalizations (26B25)

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Vector variational inequality as a tool for studying vector optimization problems ⋮ Strict lower semicontinuity of the level sets and invexity of a locally Lipschitz function ⋮ A note on connectivity of efficient solution sets ⋮ On constrained set-valued optimization problems with \(\rho\)-cone arcwise connectedness ⋮ A survey of recent[1985-1995advances in generalized convexity with applications to duality theory and optimality conditions] ⋮ Unnamed Item ⋮ Higher-order Mond-Weir duality for set-valued optimization ⋮ Higher order weak epiderivatives and applications to duality and optimality conditions ⋮ A generl farkas type lemma ⋮ Higher-order weakly generalized adjacent epiderivatives and applications to duality of set-valued optimization

Cites Work

• Optimality criteria in nonlinear programming involving nonconvex functions
• On sufficiency of the Kuhn-Tucker conditions
• Invex multifunctions and duality
• Nonsmooth invexity
• Optimization and nonsmooth analysis
• What is invexity?
• Generalised convexity and duality in multiple objective programming
• Invexity in multifunction optimization
• Unnamed Item
• Unnamed Item

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