Some characterizations and applications on strongly \(\alpha\)-preinvex and strongly \(\alpha\)-invex functions

DOI10.3934/jimo.2008.4.727zbMath1161.90495OpenAlexW2321163600MaRDI QIDQ1008781

Cai-Ping Liu

Publication date: 30 March 2009

Published in: Journal of Industrial and Management Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/jimo.2008.4.727

zbMATH Keywords

preinvex functionsstrongly (quasi) \(\alpha\)-invex functionsstrongly (quasi) \(\alpha\)-preinvex functionsstrongly quasi \(\alpha \eta\)-monotone operators

Mathematics Subject Classification ID

Nonlinear programming (90C30) Variational and other types of inequalities involving nonlinear operators (general) (47J20) Variational inequalities (49J40) Applications of functional analysis in optimization, convex analysis, mathematical programming, economics (46N10)

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