(Ф1,Ф2)convexity

DOI10.1080/02331939708844303zbMath0880.26009OpenAlexW2160546394MaRDI QIDQ4338052

Chanchal Singh, Rita Pini

Publication date: 7 January 1998

Published in: Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/02331939708844303

zbMATH Keywords

generalized convexityoptimality conditionsoptimization problemsnonlinear programminggeneralized monotonicity

Mathematics Subject Classification ID

Nonlinear programming (90C30) Nonsmooth analysis (49J52) Inequalities and extremum problems involving convexity in convex geometry (52A40) Convexity of real functions of several variables, generalizations (26B25)

Related Items (7)

Generalized convexity and generalized monotonocity ⋮ \(G\)-semipreinvexity and its applications ⋮ On semi-\((B, G)\)-preinvex functions ⋮ \(\varPhi _1\)-concavity and fuzzy multiple objective decision making ⋮ Fuzzy \(\Phi\)-convexity and fuzzy decision making ⋮ Preinvexity and \(\Phi _{1}\)-convexity of fuzzy mappings through a linear ordering ⋮ \((\varPhi_{1},\varPhi_{2})\)-convex fuzzy mappings

Cites Work

• Duality and sufficiency in control problems with invexity
• On generalized means and generalized convex functions
• B-vex functions
• Generalized B-vex functions and generalized B-vex programming
• On invex sets and preinvex functions
• Generalized convexity and concavity of the optimal value function in nonlinear programming
• Convexity along curves and indunvexity

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