Advanced search
Publication Cover
Numerical Functional Analysis and Optimization Volume 22, 2001 - Issue 7-8
Submit an article Journal homepage
61
Views
36
CrossRef citations to date
0
Altmetric
Original Articles

EXISTENCE AND DUALITY OF IMPLICIT VECTOR VARIATIONAL PROBLEMS*

Qamrul Hasan Ansari Department of Mathematics, Aligarh Muslim University, Aligarh, 202 002, India
,
Xiao Qi Yang Department of Applied Mathematics, Hong Kong Polytechnic University, Kowloon, Hong Kong
&
Jen-Chih Yao Department of Applied Mathematics, National Sun Yat-sen University, Kaohsiung, 804, Taiwan
Pages 815-829 | Published online: 17 Aug 2006

Citations (36)

Keep up to date with the latest research on this topic with citation updates for this article.

Subscribe to citation updates

Read on this site (8)

Mihaela Miholca. (2018) Cyclically antimonotone vector equilibrium problems. Optimization 67:12, pages 2191-2204.
Read now
Marcel Bogdan. (2014) Parametric vector optimization. Optimization 63:1, pages 15-20.
Read now
Xiang-Kai Sun & Sheng-Jie Li. (2013) Gap functions for generalized vector equilibrium problems via conjugate duality and applications. Applicable Analysis 92:10, pages 2182-2199.
Read now
X.K. Sun & S.J. Li. (2013) Duality and gap function for generalized multivalued ϵ-vector variational inequality. Applicable Analysis 92:3, pages 482-492.
Read now
S.J. Li, X.K. Sun, H.M. Liu, S.F. Yao & K.L. Teo. (2010) Conjugate Duality in Constrained Set-Valued Vector Optimization Problems. Numerical Functional Analysis and Optimization 32:1, pages 65-82.
Read now
Qamrul Hasan Ansari & Mahboubeh Rezaei. (2010) Existence results for Stampacchia and Minty type vector variational inequalities. Optimization 59:7, pages 1053-1065.
Read now
C. S. Lalitha & Ruchi Arora. (2007) Conjugate Maps, Subgradients and Conjugate Duality in Set-Valued Optimization. Numerical Functional Analysis and Optimization 28:7-8, pages 897-909.
Read now
Ya-Ping Fang & Nan-Jing Huang. (2004) Vector equilibrium type problems with (S)+-conditions. Optimization 53:3, pages 269-279.
Read now

Articles from other publishers (28)

Tran Van Su & Dinh Dieu Hang. (2019) Optimality Conditions for the Efficient Solutions of Vector Equilibrium Problems with Constraints in Terms of Directional Derivatives and Applications. Bulletin of the Iranian Mathematical Society 45:6, pages 1619-1650.
Crossref
Tran Van Su. (2017) New optimality conditions for unconstrained vector equilibrium problem in terms of contingent derivatives in Banach spaces. 4OR 16:2, pages 173-198.
Crossref
Lâm Quốc Anh, Phạm Thị Vui, Nguyễn Cao Phong, Nguyễn Hữu Nghĩa, Lê Phương Thảo & Đỗ Thị Kim Thoản. (2018) Ứng dụng phương pháp vô hướng hóa phi tuyến giải bài toán cân bằng vectơ mạnh. Can Tho University, Journal of Science 54(3), pages 47.
Crossref
Qamrul Hasan Ansari, Elisabeth Köbis & Jen-Chih YaoQamrul Hasan Ansari, Elisabeth Köbis & Jen-Chih Yao. 2018. Vector Variational Inequalities and Vector Optimization. Vector Variational Inequalities and Vector Optimization 339 427 .
Lê Đình Chiến, Lê Văn Lâm & Trần Công Án. (2017) Nhận dạng hành vi của bò sử dụng gia tốc kế và giải thuật máy học rừng ngẫu nhiên. Can Tho University, Journal of Science Công nghệ TT 2017, pages 80.
Crossref
Lâm Quốc Anh, Lê Minh Huy & Nguyễn Hữu Danh. (2016) Tính nửa liên tục trên của ánh xạ nghiệm bài toán cân bằng mạnh theo nón Lorentz. Can Tho University Journal of Science 43, pages 26.
Crossref
Rabian Wangkeeree, Panatda Boonman & Pakkapon Preechasilp. (2014) Lower semicontinuity of approximate solution mappings for parametric generalized vector equilibrium problems. Journal of Inequalities and Applications 2014:1.
Crossref
Yu Han & Xun-Hua Gong. (2014) Lower semicontinuity of solution mapping to parametric generalized strong vector equilibrium problems. Applied Mathematics Letters 28, pages 38-41.
Crossref
Tao Chen. (2014) Existence Theorems of -Cone Saddle Points for Vector-Valued Mappings . Abstract and Applied Analysis 2014, pages 1-5.
Crossref
Linsen Xie, Jinlu Li & Ching-Feng Wen. (2013) Applications of fixed point theory to extended Nash equilibriums of nonmonetized noncooperative games on posets. Fixed Point Theory and Applications 2013:1.
Crossref
Adela Capătă. (2013) Optimality conditions for vector equilibrium problems and their applications. Journal of Industrial and Management Optimization 9:3, pages 657-667.
Crossref
Adela Capătă. (2013) Optimality conditions for vector equilibrium problems and their applications. Journal of Industrial & Management Optimization 9:3, pages 659-669.
Crossref
Capătă Adela Elisabeta. (2013) Existence Theorems for Vector Equilibrium Problems via Quasi-Relative Interior. The Scientific World Journal 2013, pages 1-6.
Crossref
Si-Huan Li, Qiang Wang, Shu Xu & Jun-Xiang Wang. (2013) Sharp Efficiency for Vector Equilibrium Problems on Banach Spaces. Abstract and Applied Analysis 2013, pages 1-6.
Crossref
Hong-Yong Fu, Bin Dan & Xiang-Yu Liu. (2012) Existence and Duality of Generalized ε-Vector Equilibrium Problems. Journal of Applied Mathematics 2012, pages 1-13.
Crossref
Marcel Bogdan. (2012) Applications of Parametric Abstract Equilibrium Problems in Economics. Procedia Economics and Finance 3, pages 99-104.
Crossref
Pham Huu Sach, Le Anh Tuan & Nguyen Ba Minh. (2010) Approximate duality for vector quasi-equilibrium problems and applications. Nonlinear Analysis: Theory, Methods & Applications 72:11, pages 3994-4004.
Crossref
Júlia Salamon. (2009) Closedness and Hadamard well-posedness of the solution map for parametric vector equilibrium problems. Journal of Global Optimization 47:2, pages 173-183.
Crossref
J. Salamon & M. Bogdan. (2010) Closedness of the solution map for parametric weak vector equilibrium problems. Journal of Mathematical Analysis and Applications 364:2, pages 483-491.
Crossref
Qamrul Hasan Ansari & Jen-Chih Yao. 2010. Variational Analysis and Generalized Differentiation in Optimization and Control. Variational Analysis and Generalized Differentiation in Optimization and Control 1 42 .
Jian-Wen Peng & Lun Wan. (2009) On System of Generalized Vector Quasiequilibrium Problems with Applications. International Journal of Mathematics and Mathematical Sciences 2009, pages 1-10.
Crossref
P. H. Sach, D. S. Kim, L. A. Tuan & G. M. Lee. (2007) Duality Results for Generalized Vector Variational Inequalities with Set-Valued Maps. Journal of Optimization Theory and Applications 136:1, pages 105-123.
Crossref
Qamrul Hasan Ansari & Fernando Flores-Bazán. (2006) Recession methods for generalized vector equilibrium problems. Journal of Mathematical Analysis and Applications 321:1, pages 132-146.
Crossref
Ya-Ping Fang, Nan-Jing Huang & Jong Kyu Kim. (2006) Existence Results for Systems of Vector Equilibrium Problems*. Journal of Global Optimization 35:1, pages 71-83.
Crossref
Y. Chiang. (2005) The (S) + 1 Condition for Generalized Vector Variational Inequalities. Journal of Optimization Theory and Applications 124:3, pages 581-594.
Crossref
Y. Chiang & J. C. Yao. (2004) Vector Variational Inequalities and the (S)+ Condition. Journal of Optimization Theory and Applications 123:2, pages 271-290.
Crossref
Y. Chiang, O. Chadli & J. C. Yao. (2004) Generalized Vector Equilibrium Problems with Trifunctions. Journal of Global Optimization 30:2-3, pages 135-154.
Crossref
Y. Chiang. (2004) VECTOR SUPERIOR AND INFERIOR. Taiwanese Journal of Mathematics 8:3.
Crossref

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Order Reprints Request Corporate Permissions

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

Request Academic Permissions

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.

Related research

People also read lists articles that other readers of this article have read.

Recommended articles lists articles that we recommend and is powered by our AI driven recommendation engine.

Cited by lists all citing articles based on Crossref citations.
Articles with the Crossref icon will open in a new tab.