Generalized convexity and generalized monotonocity

DOI10.1080/02522667.1999.10699413zbMath0953.90050OpenAlexW2327953025MaRDI QIDQ4264499

Chanchal Singh, Rita Pini

Publication date: 23 November 1999

Published in: Journal of Information and Optimization Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/02522667.1999.10699413

zbMATH Keywords

monotonicitystrong monotonicityquasimonotonicitypseudomonotonicitygeneralized convex functionsinvex\(B\)-invex functions

Mathematics Subject Classification ID

Nonconvex programming, global optimization (90C26) Multi-objective and goal programming (90C29)

Related Items (6)

Strongly geodesic preinvexity and strongly invariant η-monotonicity on Riemannian manifolds and its application ⋮ Generalized invexity and generalized invariant monotonicity ⋮ A note on unconstrained reformulation of complementarity problem. ⋮ Generalized \((\rho,\theta)\)-\(\eta\)-invexity and generalized \((\rho,\theta)\)-\(\eta \)-invariant-monotonicity ⋮ G-monotonicity and G-convexity ⋮ Invariant monotone vector fields on Riemannian manifolds

Cites Work

• Optimality criteria in nonlinear programming involving nonconvex functions
• On sufficiency of the Kuhn-Tucker conditions
• Complementarity problems over cones with monotone and pseudomonotone maps
• B-vex functions
• Generalized B-vex functions and generalized B-vex programming
• Invex functions and constrained local minima
• (Ф₁,Ф₂)convexity
• A survey of recent[1985-1995advances in generalized convexity with applications to duality theory and optimality conditions]
• (Φ₁, Φ₂) Optimality And Duality Under Differentiablity

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