On nonlinear variational inequalities by Muhammed Aslam Noor

“…The fixed point technique is used to prove the existence of a solution for a class of nonlinear variational inequalities related with odd order constrained boundary value problems and to suggest an iterative algorithm to compute the approximate solution.…”
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Variational Inequalities and Vector Optimization by Jian-Wen Peng, Nan-Jing Huang, Xue-Xiang Huang, Jen-Chih Yao

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L∞-error estimates for a class of semilinear elliptic variational inequalities and quasi-variational inequalities by M. Boulbrachene, P. Cortey-Dumont, J. C. Miellou

“…This paper deals with the finite element approximation of a class of variational inequalities (VI) and quasi-variational inequalities (QVI) with the right-hand side depending upon the solution. …”
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Intuitionistic fuzzy variational inequalities and their applications by Tareq Saeed

Subjects: “…intuitionistic fuzzy variational inequalities…”
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Triple Hierarchical Variational Inequalities with Constraints of Mixed Equilibria, Variational Inequalities, Convex Minimization, and Hierarchical Fixed Point Problems by Lu-Chuan Ceng, Cheng-Wen Liao, Chin-Tzong Pang, Ching-Feng Wen

“…It is proven that under appropriate assumptions, the proposed algorithm converges strongly to a common element of the fixed point set of infinitely many nonexpansive mappings, the solution set of finitely many generalized mixed equilibrium problems (GMEPs), the solution set of finitely many variational inequality problems (VIPs), the solution set of general system of variational inequalities (GSVI), and the set of minimizers of convex minimization problem (CMP), which is just a unique solution of a triple hierarchical variational inequality (THVI) in a real Hilbert space. …”
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Iterative Algorithms for General Multivalued Variational Inequalities by Yonghong Yao, Muhammad Aslam Noor, Yeong-Cheng Liou, Shin Min Kang

“…We introduce and study some new classes of variational inequalities and the Wiener-Hopf equations. Using essentially the projection technique, we establish the equivalence between these problems. …”
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Parametric Extended General Mixed Variational Inequalities by Muhammad Aslam Noor

“…It is well known that the resolvent equations are equivalent to the extended general mixed variational inequalities. We use this alternative equivalent formulation to study the sensitivity of the extended general mixed variational inequalities without assuming the differentiability of the given data. …”
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Some Aspects of Extended General Variational Inequalities by Muhammad Aslam Noor

“…Noor (“Extended general variational inequalities,” 2009, “Auxiliary principle technique for extended general variational inequalities,” 2008, “Sensitivity analysis of extended general variational inequalities,” 2009, “Projection iterative methods for extended general variational inequalities,” 2010) introduced and studied a new class of variational inequalities, which is called the extended general variational inequality involving three different operators. …”
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Hybrid Algorithms of Nonexpansive Semigroups for Variational Inequalities by Peixia Yang, Yonghong Yao, Yeong-Cheng Liou, Rudong Chen

“…Two hybrid algorithms for the variational inequalities over the common fixed points set of nonexpansive semigroups are presented. …”
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New Double Projection Algorithm for Solving Variational Inequalities by Lian Zheng

“…We propose a class of new double projection algorithms for solving variational inequality problem, which can be viewed as a framework of the method of Solodov and Svaiter by adopting a class of new hyperplanes. …”
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Variational inequalities for energy functionals with nonstandard growth conditions by Martin Fuchs, Li Gongbao

Subjects: “…Variational inequalities…”
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A PROPERTY OF BICRITERIA AFFINE VECTOR VARIATIONAL INEQUALITIES by Nguyễn Thị Thu Hương, Trần Ninh Hoa, Tạ Duy Phượng, Nguyễn Đông Yên

Subjects: “…Bicriteria affine vector variational inequality…”
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Asymptotic Behavior of a Class of Evolution Variational Inequalities by Ailing Qi

“…We establish a new LaSalle's invariance principle and discuss the asymptotic behavior of a class of first-order evolution variational inequalities.…”
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Error estimates for the finite element solutions of variational inequalities by M. Aslam Noor

“…For piecewise linear approximation of variational inequalities associated with the mildly nonlinear elliptic boundary value problems having auxiliary constraint conditions, we prove that the error estimate for u−uh in the W1,2-norm is of order h.…”
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An Equilibrium Model of Interbank Networks Based on Variational Inequalities by Shouwei Li, Jianmin He

“…We then utilize the variational inequality formulation to obtain qualitative properties of the equilibrium pattern in terms of existence and uniqueness.…”
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A Projection-Type Method for Multivalued Variational Inequality by Changjie Fang, Shenglan Chen, Jiming Zheng

“…We propose a projection-type method for multivalued variational inequality. The iteration sequence generated by the algorithm is proven to be globally convergent to a solution, provided that the multivalued mapping is continuous with nonempty compact convex values. …”
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Theory and Algorithms of Variational Inequality and Equilibrium Problems, and Their Applications by Xie-ping Ding, Nan-jing Huang, Fu-quan Xia, Qing-bang Zhang, Qamrul Hasan Ansari

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Solutions for nonlinear variational inequalities with a nonsmooth potential by Michael E. Filippakis, Nikolaos S. Papageorgiou

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Existence and decay of solutions of some nonlinear parabolic variational inequalities by Mitsuhiro Nakao, Takashi Narazaki

Subjects: “…nonlinear parabolic variational inequalities.…”
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Iterative Schemes for a Class of Mixed Trifunction Variational Inequalities by Muhammad Aslam Noor, Khalida Inayat Noor, Eisa Al-Said

“…We use the auxiliary principle technique to suggest and analyze some iterative methods for solving a new class of variational inequalities, which is called the mixed trifunction variational inequality. …”
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