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Applicable Analysis
An International Journal
Volume 76, 2000 - Issue 3-4
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Original Articles

Systems of generalized variational inequalities and their applicationsFootnote∗

Qamrul Hasan Ansari Department of Mathematics, Aligarh Muslim University, Aligarh, 202 002, India
&
Jen Chih Yao Department of Applied Mathematics, National Sun Yat sen University, Kaohsiung 804, ROC, Taiwan
Pages 203-217 | Received 01 Mar 1999, Published online: 10 May 2007

Citations (42)

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Qamrul Hasan Ansari, Javad Balooee & Jen-Chih Yao. (2014) Iterative algorithms for systems of extended regularized nonconvex variational inequalities and fixed point problems. Applicable Analysis 93:5, pages 972-993.
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S. Al-Homidan, Q.H. Ansari & J.-C. Yao. (2011) Collectively fixed point and maximal element theorems in topological semilattice spaces. Applicable Analysis 90:6, pages 865-888.
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Articles from other publishers (40)

Bunyawee Chaloemyotphong & Atid Kangtunyakarn. (2021) A theorem for solving Banach generalized system of variational inequality problems and fixed point problem in uniformly convex and 2-uniformly smooth Banach space. Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas 115:2.
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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 223 264 .
Abdul Latif, Abdulaziz SM Alofi, Abdullah E Al-Mazrooei & Jen-Chih Yao. (2015) Mann-type hybrid steepest-descent method for three nonlinear problems. Journal of Inequalities and Applications 2015:1.
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Yanlai Song & Luchuan Ceng. (2015) Strong convergence of a general iterative algorithm for a finite family of accretive operators in Banach spaces. Fixed Point Theory and Applications 2015:1.
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Nawitcha Onjai-uea & Withun Phuengrattana. (2015) A hybrid iterative method for common solutions of variational inequality problems and fixed point problems for single-valued and multi-valued mappings with applications. Fixed Point Theory and Applications 2015:1.
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Lu-Chuan Ceng, Abdullah Al-Otaibi, Qamrul Hasan Ansari & Abdul Latif. (2014) Relaxed and composite viscosity methods for variational inequalities, fixed points of nonexpansive mappings and zeros of accretive operators. Fixed Point Theory and Applications 2014:1.
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Abdellah Bnouhachem. (2014) An iterative algorithm for system of generalized equilibrium problems and fixed point problem. Fixed Point Theory and Applications 2014:1.
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Lu-Chuan Ceng, Abdul Latif, Qamrul Hasan Ansari & Jen-Chih Yao. (2014) Hybrid extragradient method for hierarchical variational inequalities. Fixed Point Theory and Applications 2014:1.
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Abdellah Bnouhachem. (2014) A modified projection method for a common solution of a system of variational inequalities, a split equilibrium problem and a hierarchical fixed-point problem. Fixed Point Theory and Applications 2014:1.
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Abdellah Bnouhachem & Ying Chen. (2014) An iterative method for a common solution of generalized mixed equilibrium problems, variational inequalities, and hierarchical fixed point problems. Fixed Point Theory and Applications 2014:1.
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Atid Kangtunyakarn. (2014) The modification of system of variational inequalities for fixed point theory in Banach spaces. Fixed Point Theory and Applications 2014:1.
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Xiao-bo Li, Ravi P Agarwal, Yeol Je Cho & Nan-jing Huang. (2014) The well-posedness for a system of generalized quasi-variational inclusion problems. Journal of Inequalities and Applications 2014:1.
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Lu-Chuan Ceng, Abdul Latif & Abdullah E. Al-Mazrooei. (2014) Iterative Algorithms for Systems of Generalized Equilibrium Problems with the Constraints of Variational Inclusion and Fixed Point Problems. Abstract and Applied Analysis 2014, pages 1-24.
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Lu-Chuan Ceng, Abdul Latif & Jen-Chih Yao. (2013) On solutions of a system of variational inequalities and fixed point problems in Banach spaces. Fixed Point Theory and Applications 2013:1.
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Shamshad Husain, Sanjeev Gupta & Vishnu Narayan Mishra. (2013) An Existence Theorem of Solutions for the System of Generalized Vector Quasi-Variational-Like Inequalities. American Journal of Operations Research 03:03, pages 329-336.
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Lu-Chuan Ceng, Saleh Abdullah Al-Mezel & Qamrul Hasan Ansari. (2013) Implicit and Explicit Iterative Methods for Systems of Variational Inequalities and Zeros of Accretive Operators. Abstract and Applied Analysis 2013, pages 1-19.
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Mikhail Z. Zgurovsky, Valery S. Mel'nik & Pavlo O. KasyanovMikhail Z. Zgurovsky, Valery S. Mel’nik & Pavlo O. Kasyanov. 2011. Evolution Inclusions and Variation Inequalities for Earth Data Processing I. Evolution Inclusions and Variation Inequalities for Earth Data Processing I 139 244 .
Rong Hu, Ya-Ping Fang, Nan-Jing Huang & Mu-Ming Wong. (2010) Well-posedness of Systems of Equilibrium Problems. Taiwanese Journal of Mathematics 14:6.
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Somyot Plubtieng & Kamonrat Sombut. (2010) Existence Results for System of Variational Inequality Problems with Semimonotone Operators. Journal of Inequalities and Applications 2010:1, pages 251510.
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Xin-kun Wu & Yun-zhi Zou. (2010) A System of Random Nonlinear Variational Inclusions Involving Random Fuzzy Mappings and -Monotone Set-Valued Mappings. Journal of Inequalities and Applications 2010:1, pages 123524.
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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 .
Long-guang Huang. (2009) Generalized variational inequalities with weight-like vectors. Nonlinear Analysis: Theory, Methods & Applications 71:10, pages 4813-4822.
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Jong Kyu Kim, Ya-ping Fang & Nan-jing Huang. (2008) An existence result for a system of inclusion problems with applications. Applied Mathematics Letters 21:11, pages 1209-1214.
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Qamrul Hasan Ansari. (2008) Existence of solutions of systems of generalized implicit vector quasi-equilibrium problems. Journal of Mathematical Analysis and Applications 341:2, pages 1271-1283.
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S. H. Hou, H. Yu & G. Y. Chen. (2006) On system of generalized vector variational inequalities. Journal of Global Optimization 40:4, pages 739-749.
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S. Al-Homidan, Q. H. Ansari & S. Schaible. (2007) Existence of Solutions of Systems of Generalized Implicit Vector Variational Inequalities. Journal of Optimization Theory and Applications 134:3, pages 515-531.
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Suliman Al-Homidan & Qamrul Hasan Ansari. (2007) Systems of quasi-equilibrium problems with lower and upper bounds. Applied Mathematics Letters 20:3, pages 323-328.
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Lai-Jiu Lin & Huai-Wen Hsu. (2006) Existences theorems of systems of vector quasi-equillibrium problems and mathematical programs with equilibrium constraint. Journal of Global Optimization 37:2, pages 195-213.
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Jian-Wen Peng & Xiao-Ping Zheng. (2007) System of Generalized Implicit Vector Quasivariational Inequalities. Journal of Inequalities and Applications 2007:1, pages 036845.
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L. J. Lin & Y. H. Liu. (2006) Existence Theorems for Systems of Generalized Vector Quasiequilibrium Problems and Optimization Problems. Journal of Optimization Theory and Applications 130:3, pages 463-477.
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Jian-Wen Peng, Heung-Wing Joseph Lee & Xin-Min Yang. (2006) On System of Generalized Vector Quasi-equilibrium Problems with Set-valued Maps. Journal of Global Optimization 36:1, pages 139-158.
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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.
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Jian-Wen Peng. (2006) The system of generalized set-valued equilibrium problems. Journal of Inequalities and Applications 2006, pages 1-9.
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Q. H. Ansari, L. J. Lin & L. B. Su. (2005) Systems of Simultaneous Generalized Vector Quasiequilibrium Problems and their Applications. Journal of Optimization Theory and Applications 127:1, pages 27-44.
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X. P. Ding & J. C. Yao. (2005) Maximal Element Theorems with Applications to Generalized Games and Systems of Generalized Vector Quasi-Equilibrium Problems in G-Convex Spaces. Journal of Optimization Theory and Applications 126:3, pages 571-588.
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Q. H. Ansari, S. Schaible & J. C. Yao. (2005) Generalized Vector Quasi-Variational Inequality Problems Over Product Sets. Journal of Global Optimization 32:4, pages 437-449.
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E. Allevi, A. Gnudi & I. V. Konnov. 2005. Optimization and Control with Applications. Optimization and Control with Applications 497 507 .
E. Allevi, A. Gnudi & I.V. Konnov. (2004) Generalized Vector Variational Inequalities over Countable Product of Sets. Journal of Global Optimization 30:2-3, pages 155-167.
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Xie-Ping Ding, Jen-Chih Yao & Lai-Jiu Lin. (2004) Solutions of system of generalized vector quasi-equilibrium problems in locally G-convex uniform spaces. Journal of Mathematical Analysis and Applications 298:2, pages 398-410.
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Ding Xie-ping. (2004) Nonempty intersection theorems and system of generalized vector equilibrium problems in product G-convex spaces. Applied Mathematics and Mechanics 25:6, pages 618-626.
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