Generalized invexity of nonsmooth functions

DOI10.1016/j.na.2007.10.047zbMath1163.90023OpenAlexW2079669769MaRDI QIDQ2378838

Liya Fan

Publication date: 14 January 2009

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2007.10.047

zbMATH Keywords

generalized invexitylimiting subdifferentialgeneralized invariant monotonicitylocally Lipschitz continuous function

Mathematics Subject Classification ID

Nonlinear programming (90C30) Variational inequalities (49J40) Nonsmooth analysis (49J52) Set-valued functions (26E25)

Cites Work

• Criteria for generalized invex monotonicities
• Generalized invariant monotonicity and invexity of non-differentiable functions
• Characterization of nonsmooth quasiconvex and pseudoconvex functions
• On strongly \(\alpha\)-preinvex functions
• Pre-invex functions in multiple objective optimization
• On sufficiency of the Kuhn-Tucker conditions
• Generalized invexity and generalized invariant monotonicity
• Generalized invex monotonicity

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