Continuity of second-order adjacent derivatives for weak perturbation maps in vector optimization
In this paper, some properties are established for second-order adjacent derivatives of set-valued maps. Upper and lower semicontinuity and closedness are obtained for second-order adjacent derivatives of weak perturbation maps in vector optimization problems. Several examples are given for illustra...
| Main Authors: | Wang, Q., Li, S., Teo, Kok Lay |
|---|---|
| Format: | Journal Article |
| Published: |
2011
|
| Online Access: | http://hdl.handle.net/20.500.11937/33188 |
Similar Items
Second-Order Directional Derivatives of Spectral Functions
by: Li, S., et al.
Published: (2005)
by: Li, S., et al.
Published: (2005)
Differential properties and optimality conditions for generalized weak vector variational inequalities
by: Zhu, S., et al.
Published: (2013)
by: Zhu, S., et al.
Published: (2013)
Higher-order optimality conditions for weakly efficient solutions in nonconvex set-valued optimization
by: Wang, L., et al.
Published: (2010)
by: Wang, L., et al.
Published: (2010)
On the Holder continuity of approximate solution mappings to parametric weak generalized Ky Fan inequality
by: Peng, Z., et al.
Published: (2015)
by: Peng, Z., et al.
Published: (2015)
Higher order weak epiderivatives and applications to duality andoptimality conditions
by: Chen, C., et al.
Published: (2009)
by: Chen, C., et al.
Published: (2009)
The Holder continuity of solutions to generalized vector equilibrium problems
by: Li, S., et al.
Published: (2009)
by: Li, S., et al.
Published: (2009)
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)
by: Wang, Q., et al.
Published: (2012)
Second-order Karush-Kuhn-Tucker optimality conditions for set-valued optimization
by: Zhu, S., et al.
Published: (2013)
by: Zhu, S., et al.
Published: (2013)
Hölder continuity and upper estimates of solutions to vector quasiequilibrium problems
by: Li, S., et al.
Published: (2011)
by: Li, S., et al.
Published: (2011)
New Generalized Second-Order Contingent Epiderivatives and Set-Valued Optimization Problems
by: Li, S, et al.
Published: (2012)
by: Li, S, et al.
Published: (2012)
Painleve-Kuratowski Convergences for the Solution Sets of Set-Valued Weak Vector Variational Inequalities
by: Fang, Z., et al.
Published: (2008)
by: Fang, Z., et al.
Published: (2008)
Direct solution of second-order BVPs by homotopy-perturbation method
by: Abdulaziz.O,, et al.
Published: (2009)
by: Abdulaziz.O,, et al.
Published: (2009)
Solutions of a class of singular second-order IVPs by homotopy-perturbation method
by: Chowdhury, Md. Sazzad Hossien, et al.
Published: (2007)
by: Chowdhury, Md. Sazzad Hossien, et al.
Published: (2007)
Rotary enclosing control of second-order multi-agent systems for a group of targets
by: Shi, Y., et al.
Published: (2016)
by: Shi, Y., et al.
Published: (2016)
Multiobjective second-order symmetric duality with F -convexity
by: Yang, X., et al.
Published: (2005)
by: Yang, X., et al.
Published: (2005)
Mappings on weakly Lindelof and weakly regular-Lindelof spaces.
by: Alfawakhreh, Anwar Jabor, et al.
Published: (2011)
by: Alfawakhreh, Anwar Jabor, et al.
Published: (2011)
Non-differentiable second order symmetric duality in mathematical programming with F-convexity
by: Yang, X., et al.
Published: (2003)
by: Yang, X., et al.
Published: (2003)
A possible generalization of acoustic wave equation using the concept of perturbed derivative order
by: Atangana, Abdon, et al.
Published: (2013)
by: Atangana, Abdon, et al.
Published: (2013)
Counterexamples to the conjecture on stationary probability vectors of the second-order Markov chains
by: Saburov, Mansoor, et al.
Published: (2016)
by: Saburov, Mansoor, et al.
Published: (2016)
Adjacency preserving maps on upper triangular matrix algebras
by: Chooi, W
Published: (2003)
by: Chooi, W
Published: (2003)
Mappings and decompositions of pairwise continuity on (i, j)-almost Lindelof and (i, j)-weakly Lindelof spaces
by: Salleh, Zabidin, et al.
Published: (2021)
by: Salleh, Zabidin, et al.
Published: (2021)
A neighboring extremal solution for optimal switched impulsive control problems with large perturbations
by: Jiang, C., et al.
Published: (2012)
by: Jiang, C., et al.
Published: (2012)
Solution semicontinuity of parametric generalized vector equilibrium problems
by: Chen, C., et al.
Published: (2009)
by: Chen, C., et al.
Published: (2009)
Vector network equilibrium problems with capacity constraints of arcs
by: Xu, Y., et al.
Published: (2012)
by: Xu, Y., et al.
Published: (2012)
Optimality conditions for approximate solutions of vector optimization problems
by: Gao, Ying, et al.
Published: (2011)
by: Gao, Ying, et al.
Published: (2011)
Second-Order Blind Signal Separation for Convolutive Mixtures Using Conjugate Gradient
by: Dam, Hai Huyen Heidi, et al.
Published: (2008)
by: Dam, Hai Huyen Heidi, et al.
Published: (2008)
Existence results for multiple positive solutions of nonlinear higher order perturbed fractional differential equations with derivatives
by: Zhang, X., et al.
Published: (2012)
by: Zhang, X., et al.
Published: (2012)
Conjugate Duality in Constrained Set-Valued Vector Optimization Problems
by: Li, S., et al.
Published: (2011)
by: Li, S., et al.
Published: (2011)
Subdifferential and optimality conditions for the difference of set-valued mappings
by: Guo, X., et al.
Published: (2012)
by: Guo, X., et al.
Published: (2012)
On tensor products of weak mixing vector sequences and their applications to uniquely E-weak mixing C*-dynamical systems
by: Mukhamedov, Farrukh
Published: (2012)
by: Mukhamedov, Farrukh
Published: (2012)
Erratum to "Huard type second-order converse duality for nonlinear programming"
by: Yang, X, et al.
Published: (2007)
by: Yang, X, et al.
Published: (2007)
Perturbed metabolic profiles associated with muscle weakness seen in adult Ts1Cje mouse model of Down syndrome
by: Lim, Chai Ling, et al.
Published: (2019)
by: Lim, Chai Ling, et al.
Published: (2019)
Development of application-specific adjacency models using fuzzy cognitive map
by: Motlagh, Omid Reza Esmaeili, et al.
Published: (2014)
by: Motlagh, Omid Reza Esmaeili, et al.
Published: (2014)
An asymmetry in the spoken production of number agreement in second language English : adjacency or locality?
by: Austin, Gavin, et al.
Published: (2023)
by: Austin, Gavin, et al.
Published: (2023)
Gap functions and existence of solutions to generalized vector quasi-equilibrium problems
by: Li, S., et al.
Published: (2006)
by: Li, S., et al.
Published: (2006)
Robust Optimal Control of Continuous Linear Quadratic System Subject to Disturbances
by: Wu, Changzhi, et al.
Published: (2014)
by: Wu, Changzhi, et al.
Published: (2014)
Identification of Continuous-Time Hammerstein Systems by Simultaneous Perturbation Stochastic Approximation
by: Mohd Ashraf, Ahmad, et al.
Published: (2016)
by: Mohd Ashraf, Ahmad, et al.
Published: (2016)
Weakly supervised food image segmentation using class activation maps
by: Wang, Y., et al.
Published: (2018)
by: Wang, Y., et al.
Published: (2018)
Topological mapping and qualitative localization based on K-adjacent union clustering algorithm
by: Karasfi, Babak
Published: (2012)
by: Karasfi, Babak
Published: (2012)
An Exact Penalty Function Method for Continuous Inequality Constrained Optimal Control Problem
by: Li, Bin, et al.
Published: (2011)
by: Li, Bin, et al.
Published: (2011)
Similar Items
-
Second-Order Directional Derivatives of Spectral Functions
by: Li, S., et al.
Published: (2005) -
Differential properties and optimality conditions for generalized weak vector variational inequalities
by: Zhu, S., et al.
Published: (2013) -
Higher-order optimality conditions for weakly efficient solutions in nonconvex set-valued optimization
by: Wang, L., et al.
Published: (2010) -
On the Holder continuity of approximate solution mappings to parametric weak generalized Ky Fan inequality
by: Peng, Z., et al.
Published: (2015) -
Higher order weak epiderivatives and applications to duality andoptimality conditions
by: Chen, C., et al.
Published: (2009)