Generalized \((\rho,\theta)\)-\(\eta\)-invexity and generalized \((\rho,\theta)\)-\(\eta \)-invariant-monotonicity

DOI10.1016/j.na.2007.02.004zbMath1211.90178OpenAlexW2061096772MaRDI QIDQ2479300

Yanyan Li

Publication date: 26 March 2008

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.2007.02.004

zbMATH Keywords

\((\rho, \theta)\)-\(\eta\)-invariant-monotone-functiongeneralized \((\rho, \theta)\)-\(\eta\)-invariant-monotone function, \((\rho, \theta)\)-\(\eta\)-invexityinvariant-monotone-function

Mathematics Subject Classification ID

Nonconvex programming, global optimization (90C26)

Related Items (4)

Second and higher order duality in Banach space under \(\rho-(\eta,\theta)\)-invexity ⋮ Variational-like inequalities and equilibrium problems with generalized monotonicity in Banach spaces ⋮ Applications of Generalized Monotonicity to Variational-Like Inequalities and Equilibrium Problems ⋮ Generalized \((\rho ,\theta )\)-\(\eta \) invariant monotonicity and generalized \((\rho ,\theta )\)-\(\eta \) invexity of nondifferentiable functions

Cites Work

• Optimality criteria in nonlinear programming involving nonconvex functions
• Pre-invex functions in multiple objective optimization
• On sufficiency of the Kuhn-Tucker conditions
• Generalized invexity and generalized invariant monotonicity
• Seven kinds of monotone maps
• On invex sets and preinvex functions
• Generalized monotonicity and generalized convexity
• Invexity and generalized convexity
• Generalized convexity and generalized monotonocity

This page was built for publication: Generalized \((\rho,\theta)\)-\(\eta\)-invexity and generalized \((\rho,\theta)\)-\(\eta \)-invariant-monotonicity