Semicontinuity of the solution set to a parametric generalized strong vector equilibrium problem

Q. L. Wang; Z. Lin; X. B. Li

doi:10.1007/s11117-014-0273-9

Semicontinuity of the solution set to a parametric generalized strong vector equilibrium problem

Positivity ◽

10.1007/s11117-014-0273-9 ◽

2014 ◽

Vol 18 (4) ◽

pp. 733-748 ◽

Cited By ~ 4

Author(s):

Q. L. Wang ◽

Z. Lin ◽

X. B. Li

Keyword(s):

Equilibrium Problem ◽

Vector Equilibrium Problem ◽

Solution Set ◽

Vector Equilibrium ◽

Strong Vector Equilibrium Problem

Erratum to: Semicontinuity of the solution set to a parametric generalized strong vector equilibrium problem

Positivity ◽

10.1007/s11117-014-0298-0 ◽

2014 ◽

Vol 18 (4) ◽

pp. 749-750

Author(s):

Q. L. Wang ◽

Z. Lin ◽

X. B. Li

Keyword(s):

Equilibrium Problem ◽

Vector Equilibrium Problem ◽

Solution Set ◽

Vector Equilibrium ◽

Strong Vector Equilibrium Problem

On existence results of generalized strong vector equilibrium problem

2013 2nd International Symposium on Instrumentation and Measurement, Sensor Network and Automation (IMSNA) ◽

10.1109/imsna.2013.6743317 ◽

2013 ◽

Author(s):

Wei Wang ◽

Yali Zhao ◽

Lin Zhu

Keyword(s):

Equilibrium Problem ◽

Existence Results ◽

Vector Equilibrium Problem ◽

Vector Equilibrium ◽

Strong Vector Equilibrium Problem

A projection iterative algorithm for strong vector equilibrium problem

Optimization ◽

10.1080/02331934.2014.919501 ◽

2014 ◽

Vol 64 (10) ◽

pp. 2049-2063 ◽

Cited By ~ 2

Author(s):

San-hua Wang ◽

Qiu-ying Li

Keyword(s):

Equilibrium Problem ◽

Iterative Algorithm ◽

Vector Equilibrium Problem ◽

Vector Equilibrium ◽

Strong Vector Equilibrium Problem

An iterative method for solving the strong vector equilibrium problem with variable domination structure

Optimization ◽

10.1080/02331934.2018.1432607 ◽

2018 ◽

Vol 67 (6) ◽

pp. 865-879 ◽

Cited By ~ 1

Author(s):

San-hua Wang ◽

Jin-xia Huang ◽

Chuan-xi Zhu

Keyword(s):

Iterative Method ◽

Equilibrium Problem ◽

Vector Equilibrium Problem ◽

Vector Equilibrium ◽

Strong Vector Equilibrium Problem

On the lower semicontinuity of the solution mappings to a parametric generalized strong vector equilibrium problem

Positivity ◽

10.1007/s11117-012-0170-z ◽

2012 ◽

Vol 17 (2) ◽

pp. 341-353 ◽

Cited By ~ 14

Author(s):

Y. D. Xu ◽

S. J. Li

Keyword(s):

Equilibrium Problem ◽

Lower Semicontinuity ◽

Vector Equilibrium Problem ◽

Vector Equilibrium ◽

Strong Vector Equilibrium Problem

On existence results of generalized strong vector equilibrium problem

2013 2nd International Symposium on Instrumentation and Measurement, Sensor Network and Automation (IMSNA) ◽

10.1109/imsna.2013.6743325 ◽

2013 ◽

Author(s):

Wei Wang ◽

Yali Zhao ◽

Lin Zhu

Keyword(s):

Equilibrium Problem ◽

Existence Results ◽

Vector Equilibrium Problem ◽

Vector Equilibrium ◽

Strong Vector Equilibrium Problem

On the characterization of the solution set for vector equilibrium problem

The Journal of Nonlinear Sciences and Applications ◽

10.22436/jnsa.010.11.25 ◽

2017 ◽

Vol 10 (11) ◽

pp. 5881-5895

Author(s):

Gang Wang ◽

Lijun Gao

Keyword(s):

Equilibrium Problem ◽

Vector Equilibrium Problem ◽

Solution Set ◽

Vector Equilibrium

Lower semicontinuity of approximate solution mappings for a parametric generalized strong vector equilibrium problem

Filomat ◽

10.2298/fil1906641w ◽

2019 ◽

Vol 33 (6) ◽

pp. 1641-1648

Author(s):

Qilin Wang ◽

Liu He ◽

Xiaobing Li

Keyword(s):

Approximate Solution ◽

Equilibrium Problem ◽

Lower Semicontinuity ◽

Vector Equilibrium Problem ◽

Convex Mappings ◽

Solution Mapping ◽

Vector Equilibrium ◽

Approximate Solution Mapping ◽

Strong Vector Equilibrium Problem

In this paper, by using a property of convex mappings, one establishes the lower semicontinuity of the approximate solution mapping to a parametric generalized strong vector equilibrium problem without these assumptions about monotonicity and compactness. Our proof approach is different from the ones in the literature.

Vector Equilibrium Problem with Domination Structure and Property of Its Solution Set

Acta Analysis Functionalis Applicata ◽

10.3724/sp.j.1160.2012.00001 ◽

2012 ◽

Vol 14 (1) ◽

pp. 1 ◽

Cited By ~ 2

Author(s):

Junyi FU ◽

Sanhua WANG

Keyword(s):

Equilibrium Problem ◽

Vector Equilibrium Problem ◽

Solution Set ◽

Structure And Property ◽

Vector Equilibrium

On the convexity of the solution set of symmetric vector equilibrium problems

Filomat ◽

10.2298/fil1509097f ◽

2015 ◽

Vol 29 (9) ◽

pp. 2097-2105 ◽

Cited By ~ 2

Author(s):

A.P. Farajzadeh

Keyword(s):

Equilibrium Problem ◽

Equilibrium Problems ◽

Existence Results ◽

Vector Equilibrium Problem ◽

Solution Set ◽

Vector Spaces ◽

Vector Equilibrium Problems ◽

Topological Vector Spaces ◽

Vector Equilibrium

In this paper, without assumption of monotonicity and boundedness, we study existence results for a solution and the convexity of the solution set to the symmetric vector equilibrium problem for setvalued mappings in the setting of topological vector spaces. Our results improve the corresponding results in [9, 18, 19, 22, 28, 33, 36, 37].