Generalized Stampacchia vector variational-like inequalities and vector optimization problems involving set-valued maps

DOI10.1155/2014/948270zbMath1474.90471OpenAlexW2150045402WikidataQ59043046 ScholiaQ59043046MaRDI QIDQ1725345

Guotao Wang, Yan-Fei Chai, San-Yang Liu

Publication date: 14 February 2019

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2014/948270

Mathematics Subject Classification ID

Multi-objective and goal programming (90C29) Variational inequalities (49J40) Complementarity and equilibrium problems and variational inequalities (finite dimensions) (aspects of mathematical programming) (90C33)

Cites Work

• Unnamed Item
• Unnamed Item
• Generalized vector variational-like inequalities and vector optimization
• On vector variational-like inequalities and set-valued optimization problems
• Existence of solutions to generalized vector variational-like inequalities
• Gap function for set-valued vector variational-like inequalities
• Vector variational inequalities involving set-valued mappings via scalarization with applications to error bounds for gap functions
• First and second-order approximations as derivatives of mappings in optimality conditions for nonsmooth vector optimization
• Vector optimization and variational-like inequalities
• Some properties of convex sets related to fixed point theorems
• Existence of solutions for vector optimization problems
• On subdifferentials of set-valued maps
• Existence of solutions for a vector variational inequality: An extension of the Hartmann-Stampacchia theorem
• On vector variational-like inequalities
• Contingent epiderivatives and set-valued optimization
• The existence of contingent epiderivatives for set-valued maps
• Vector variational inequalities and vector equilibria. Mathematical theories
• Gap functions and existence of solutions to set-valued vector variational inequalities
• Relationships between vector variational-like inequality and optimization problems
• On set-valued optimization problems and vector variational-like inequalities
• Semi-invex functions and their subdifferentials
• On nondifferentiable and nonconvex vector optimization problems

This page was built for publication: Generalized Stampacchia vector variational-like inequalities and vector optimization problems involving set-valued maps