Differential properties and optimality conditions for generalized weak vector variational inequalities

QR Code

Differential properties and optimality conditions for generalized weak vector variational inequalities

In this paper, we study a generalized weak vector variational inequality, which is a generalization of a weak vector variational inequality and a Minty weak vector variational inequality. By virtue of a contingent derivative and a Φ-contingent cone, we investigate differential properties of a class...

Full description

Bibliographic Details
Main Authors:	Zhu, S., Li, S., Teo, Kok Lay
Format:	Journal Article
Published:	2013
Online Access:	http://hdl.handle.net/20.500.11937/45897

Similar Items

Painleve-Kuratowski Convergences for the Solution Sets of Set-Valued Weak Vector Variational Inequalities
by: Fang, Z., et al.
Published: (2008)

On the Holder continuity of approximate solution mappings to parametric weak generalized Ky Fan inequality
by: Peng, Z., et al.
Published: (2015)

Continuity of second-order adjacent derivatives for weak perturbation maps in vector optimization
by: Wang, Q., et al.
Published: (2011)

Higher-order optimality conditions for weakly efficient solutions in nonconvex set-valued optimization
by: Wang, L., et al.
Published: (2010)

Generalized minimax inequalities for set-valued mappings
by: Li, S., et al.
Published: (2003)

Optimality conditions for approximate solutions of vector optimization problems
by: Gao, Ying, et al.
Published: (2011)

Higher order weak epiderivatives and applications to duality andoptimality conditions
by: Chen, C., et al.
Published: (2009)

Solution semicontinuity of parametric generalized vector equilibrium problems
by: Chen, C., et al.
Published: (2009)

The Holder continuity of solutions to generalized vector equilibrium problems
by: Li, S., et al.
Published: (2009)

On generalized vector quasi-equilibrium problems
by: Li, S., et al.
Published: (2007)

Erratum to: Higher-order optimality conditions for weakly efficient solutions in nonconvex set-valued optimization (Optim Lett, (2010) 4, (425-437), 10.1007/s11590-009-0170-5)
by: Wang, Q., et al.
Published: (2012)

New Generalized Second-Order Contingent Epiderivatives and Set-Valued Optimization Problems
by: Li, S, et al.
Published: (2012)

Gap functions and existence of solutions to generalized vector quasi-equilibrium problems
by: Li, S., et al.
Published: (2006)

Second-order Karush-Kuhn-Tucker optimality conditions for set-valued optimization
by: Zhu, S., et al.
Published: (2013)

Optimal Control Computation for Discrete Time Time-Delayed Optimal Control Problem with All-Time-Step Inequality Constraints
by: Li, Bin, et al.
Published: (2010)

An Exact Penalty Function Method for Continuous Inequality Constrained Optimal Control Problem
by: Li, Bin, et al.
Published: (2011)

An optimal PID controller design for nonlinear optimal control problems with continuous state inequality constraints
by: Teo, Kok Lay, et al.
Published: (2010)

Necessary and Sufficient Optimality Conditions for Regular–Singular Stochastic Differential Games with Asymmetric Information
by: Wang, Y., et al.
Published: (2018)

A smoothing approach for the optimal parameter selection problem with continuous inequality constraint
by: Feng, Z., et al.
Published: (2013)

Conjugate Duality in Constrained Set-Valued Vector Optimization Problems
by: Li, S., et al.
Published: (2011)

A New Feedback Form of Open-Loop Stackelberg Strategy in a General Linear-Quadratic Differential Game
by: Li, Y., et al.
Published: (2023)

Optimal control problems with a continuous inequality constraint on the state and the control
by: Loxton, Ryan, et al.
Published: (2009)

Subdifferential and optimality conditions for the difference of set-valued mappings
by: Guo, X., et al.
Published: (2012)

Control parameterization for optimal control problems with continuous inequality constraints: New convergence results
by: Loxton, Ryan, et al.
Published: (2012)

A New Exact Penalty Function Method for Continuous Inequality Constrained Optimization Problems
by: Yu, Changjun, et al.
Published: (2010)

Minimizing control variation in nonlinear optimal control
by: Loxton, Ryan, et al.
Published: (2013)

Existence and stability of solutions for generalized strong vector quasi-equilibrium problem
by: Long, X., et al.
Published: (2008)

Vector network equilibrium problems with capacity constraints of arcs
by: Xu, Y., et al.
Published: (2012)

On a refinement of the convergence analysis for the new exact penalty function method for continuous inequality constrained optimization problem
by: Yu, Changjun, et al.
Published: (2012)

Super-efficiency vector optimization in Banach spaces
by: Zheng, X., et al.
Published: (2007)

An exact penalty method for free terminal time optimal control problem with continuous inequality constraints
by: Jiang, Canghua, et al.
Published: (2012)

Higher-Order optimality conditions for set-valued optimization
by: Li, S., et al.
Published: (2008)

On tensor products of weak mixing vector sequences and their applications to uniquely E-weak mixing C*-dynamical systems
by: Mukhamedov, Farrukh
Published: (2012)

Hölder continuity and upper estimates of solutions to vector quasiequilibrium problems
by: Li, S., et al.
Published: (2011)

Generalized invexity and generalized invariant monotonicity
by: Yang, X., et al.
Published: (2003)

A numerical method for an optimal control problem with minimum sensitivity on coefficient variation
by: Wei, W., et al.
Published: (2011)

Minimizing control variation in discrete-time optimal control problems
by: Zhang, Y., et al.
Published: (2016)

Some geometrical aspects of efficient points in vector optimization
by: Zheng, X., et al.
Published: (2007)

Generalization of hermite-hadamard type inequalities and their applications
by: Almutairi, Ohud Bulayhan
Published: (2020)

Nonterminal complexity of weakly conditional grammars
by: Turaev, Sherzod, et al.
Published: (2014)