LOWER SEMI-CONTINUITY OF THE SOLUTION SET TO A PARAMETRIC OPTIMAL CONTROL PROBLEM by Bùi Trọng Kiên, Nguyễn Thị Toàn, Mu Ming Wong, Jen Chih Yao

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Sobolev estimates and inverse Hölder estimates on a class of non-divergence variation-inequality problem arising in American option pricing by Kaiyu Zhang

Subjects: “…variation-inequality problems…”
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An Inertial Iterative Algorithm to Find Common Solution of a Split Generalized Equilibrium and a Variational Inequality Problem in Hilbert Spaces by Mohammad Farid, Rehan Ali, Watcharaporn Cholamjiak

“…In this paper, we introduce and study an iterative algorithm via inertial and viscosity techniques to find a common solution of a split generalized equilibrium and a variational inequality problem in Hilbert spaces. Further, we prove that the sequence generated by the proposed theorem converges strongly to the common solution of our problem. …”
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A New Iterative Scheme for Generalized Mixed Equilibrium, Variational Inequality Problems, and a Zero Point of Maximal Monotone Operators by Kriengsak Wattanawitoon, Poom Kumam

“…The purpose of this paper is to introduce a new iterative scheme for finding a common element of the set of solutions of generalized mixed equilibrium problems, the set of solutions of variational inequality problems, the zero point of maximal monotone operators, and the set of two countable families of quasi-ϕ-nonexpansive mappings in Banach spaces. …”
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Strong Convergence of a Hybrid Projection Algorithm for Equilibrium Problems, Variational Inequality Problems and Fixed Point Problems in a Banach Space by Wariam Chuayjan, Sornsak Thianwan

“…We introduce and study a new hybrid projection algorithm for finding a common element of the set of solutions of an equilibrium problem, the set of common fixed points of relatively quasi-nonexpansive mappings, and the set of solutions of the variational inequality for an inverse-strongly-monotone operator in a Banach space. …”
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Viscosity Approximation Methods with Errors and Strong Convergence Theorems for a Common Point of Pseudocontractive and Monotone Mappings: Solutions of Variational Inequality Problems by Yan Tang

“…We introduce two proximal iterative algorithms with errors which converge strongly to the common solution of certain variational inequality problems for a finite family of pseudocontractive mappings and a finite family of monotone mappings. …”
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The $ {L^\infty } $ estimate of the spatial gradient of the solution to a variational inequality problem originates from the financial contract problem with advanced implementation clauses by Qingjun Zhao

Subjects: “…variational inequality problem…”
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Variational Analysis of a Dynamic Contact Problem with Wear and Damage Involving Viscoelastic Materials with Long-Term Memory by Ahmed Hamidat, Hakim Bagua, Adel Aissaoui

Subjects: “…Hyperbolic. Quasi-variational inequality.…”
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A frictional contact problem with normal damped response conditions and thermal effects for a thermo-electro-viscoelastic material by Abdelmoumene Djabi

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Hybrid Iterative Scheme by a Relaxed Extragradient Method for Equilibrium Problems, a General System of Variational Inequalities and Fixed-Point Problems of a Countable Family of Nonexpansive Mappings by Qiao-Li Dong, Yan-Ni Guo, Fang Su

“…Based on the relaxed extragradient method and viscosity method, we introduce a new iterative method for finding a common element of solution of equilibrium problems, the solution set of a general system of variational inequalities, and the set of fixed points of a countable family of nonexpansive mappings in a real Hilbert space. …”
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CONTROL PROBLEMS FOR NONLINEAR VARIATIONAL EVOLUTION INEQUALITIES by Su Jin Cheon

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THE TIKHONOV REGULARISATION METHOD FOR PSEUDOMONOTONE EQUILIBRIUM PROBLEMS by Phạm Gia Hưng, Lê Dũng Mưu

Subjects: “…Multi-valued variational inequalities…”
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Regularization method and a posteriori error estimates for the two membranes problem by Bouchlaghem Mohammed, Mermri El Bekkaye, Mellah Zhor

Subjects: “…variational inequalities…”
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Dynamic Traffic Network Model and Time-Dependent Braess’ Paradox by Chunxue Zhao

“…We propose a dynamic traffic network model and give the equilibrium condition and the equivalent variational inequality of the network. In this model, instead of the influence of inflow rate and output rate on the link congestion, the influence of the adjacent links at the same paths is considered; in this case, the equivalence between the equilibrium condition and the variational inequality is proved. …”
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Approximate Iteration Algorithm with Error Estimate for Fixed Point of Nonexpansive Mappings by Yongfu Su

“…Meanwhile, a approximate iteration algorithm is presented which is used to calculate the fixed point of nonexpansive mapping and solution of variational inequality, the error estimate is also given. …”
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Algorithmic Approach to the Split Problems by Ming Ma

“…This paper deals with design algorithms for the split variational inequality and equilibrium problems. Strong convergence theorems are demonstrated.…”
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Fixed Point of Strong Duality Pseudocontractive Mappings and Applications by Baowei Liu

“…The purpose of this paper is to introduce the definition of α-strong duality pseudocontractive mappings and to study its fixed point problem and applications for operator equation and variational inequality problems.…”
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Damped Algorithms for the Split Fixed Point and Equilibrium Problems by Li-Jun Zhu, Minglun Ren

“…The main purpose of this paper is to study the split fixed point and equilibrium problems which includes fixed point problems, equilibrium problems, and variational inequality problems as special cases. A damped algorithm is presented for solving this split common problem. …”
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Neural Network to Solve Concave Games by Zixin Liu, Nengfa Wang

“…Combined with variational inequality, Ky Fan inequality, and projection equation, concave games are transformed into a neural network model. …”
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Common Fixed-Point Problem for a Family Multivalued Mapping in Banach Space by Zhanfei Zuo

“…Moreover, it is the unique solution in 𝐹 to a certain variational inequality, where 𝐹∶=∩∞𝑛=0𝐹(𝑇𝑛) stands for the common fixed-point set of the family of multivalued nonexpansive mapping {𝑇𝑛}.…”
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