Nonsmooth multiobjective optimization using limiting subdifferentials

DOI10.1016/j.jmaa.2006.05.026zbMath1275.90089OpenAlexW2080827130MaRDI QIDQ864689

Majid Soleimani-damaneh, Gholam Reza Jahanshahloo

Publication date: 12 February 2007

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2006.05.026

zbMATH Keywords

multiobjective optimizationinvex functionLipschitz functionlimiting subdifferentialweak Pareto-optimality

Mathematics Subject Classification ID

Multi-objective and goal programming (90C29) Nonsmooth analysis (49J52)

Related Items (14)

E-convexity and its generalizations ⋮ Nonsmooth multiple-objective optimization in separable Hilbert spaces ⋮ Multiple-objective programs in Banach spaces: sufficiency for (proper) optimality ⋮ Necessary optimality conditions for a nonsmooth semi-infinite programming problem ⋮ Characterizations and applications of generalized invexity and monotonicity in Asplund spaces ⋮ \(E\)-subdifferential of \(E\)-convex functions and its applications to minimization problem ⋮ Sufficient Conditions for Nonsmoothr-Invexity ⋮ Nonsmooth semi-infinite programming problem using limiting subdifferentials ⋮ Optimality and duality for multiobjective semi-infinite variational problem using higher-order B-type I functions ⋮ Infinite (semi-infinite) problems to characterize the optimality of nonlinear optimization problems ⋮ A mean value theorem in Asplund spaces ⋮ Optimality and invexity in optimization problems in Banach algebras (spaces) ⋮ Penalization for variational inequalities ⋮ On generalized convexity in Asplund spaces

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