Proper efficiency conditions and duality for multiobjective programming problems involving semilocally invex functions

DOI10.1080/02331939508844092zbMath0857.90111OpenAlexW2046769103MaRDI QIDQ4888257

Laxminarayan Das, Sudarsan Nanda

Publication date: 30 October 1996

Published in: Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/02331939508844092

zbMATH Keywords

multiobjective programmingproper efficiencyMond-Weir-type duality theoremssemilocally invex functions

Mathematics Subject Classification ID

Multi-objective and goal programming (90C29) Duality theory (optimization) (49N15) Convexity of real functions of several variables, generalizations (26B25)

Related Items (4)

\((p,r)\)-invexity in multiobjective programming. ⋮ Equivalence and existence of weak Pareto optima for multiobjective optimization problems with cone constraints ⋮ Another approach to multiobjective programming problems with \(F\)-convex functions ⋮ \(d-\rho -(\eta ,\theta )\)-invexity in multiobjective optimization

Cites Work

• Unnamed Item
• Optimality criteria in nonlinear programming involving nonconvex functions
• Multiobjective duality with invexity
• Duality for nonlinear multiple-criteria optimization problems
• On sufficiency of the Kuhn-Tucker conditions
• Proper efficiency and the theory of vector maximization
• Generalised convexity and symmetric duality in nonlinear programming
• What is invexity?
• Invex functions and constrained local minima
• Multiobjective fractional programming duality theory

This page was built for publication: Proper efficiency conditions and duality for multiobjective programming problems involving semilocally invex functions