Results 21 to 30 of about 577 (170)

Well Posedness of New Optimization Problems with Variational Inequality Constraints

Fractal and Fractional, 2021
In this paper, we studied the well posedness for a new class of optimization problems with variational inequality constraints involving second-order partial derivatives.
Savin Treanţă
doaj   +1 more source

Mann Hybrid Deepest‐Descent Extragradient Method with Line‐Search Process for Hierarchical Variational Inequalities for Countable Nonexpansive Mappings

Journal of Mathematics, Volume 2023, Issue 1, 2023., 2023
In real Hilbert spaces, let the CFPP indicate a common fixed‐point problem of asymptotically nonexpansive operator and countably many nonexpansive operators, and suppose that the HVI and VIP represent a hierarchical variational inequality and a variational inequality problem, respectively.
Yun-Ling Cui, Lu-Chuan Ceng, Fang-Fei Zhang, Liang He, Jie Yin, Cong-Shan Wang, Hui-Ying Hu, Rehan Ali   +7 more
wiley   +1 more source

Vector equilibrium problems with new types of generalized monotonicity [PDF]

Yugoslav Journal of Operations Research, 2013
In this paper, we introduce the concept of generalized relaxed ®- pseudomonotonicity for vector valued bi-functions. By using the KKM technique, we obtain some substantial results of the vector equilibrium problems with generalized relaxed ...
Mahato N.K., Nahak C.
doaj   +1 more source

On Some Variational Inequalities Involving Second-Order Partial Derivatives

Fractal and Fractional, 2022
By using the monotonicity, hemicontinuity, and pseudomonotonicity of the considered integral functionals, we studied the well-posedness of some variational inequality problems governed by partial derivatives of the second-order. To this aim, we introduce
Savin Treanţă, Muhammad Bilal Khan, Tareq Saeed   +2 more
doaj   +1 more source

Self‐Adaptive Predictor‐Corrector Approach for General Variational Inequalities Using a Fixed‐Point Formulation

Journal of Function Spaces, Volume 2022, Issue 1, 2022., 2022
A literature review revealed that the general variational inequalities, fixed‐point problems, and Winner–Hopf equations are equivalent. In this study, general variational inequality and fixed‐point problem are considered. We introduced a new iterative method based on a self‐adaptive predictor‐corrector approach for finding a solution to the GVI ...
Kubra Sanaullah, Saleem Ullah, Muhammad Shoaib Arif, Kamaleldin Abodayeh, Rabia Fayyaz, Nawab Hussain   +5 more
wiley   +1 more source

Well-Posedness Results of Certain Variational Inequalities

Mathematics, 2022
Well-posedness and generalized well-posedness results are examined for a class of commanded variational inequality problems. In this regard, by using the concepts of hemicontinuity, monotonicity, and pseudomonotonicity of the considered functional, and ...
Savin Treanţă
doaj   +1 more source

A Forward‐Backward‐Forward Algorithm for Solving Quasimonotone Variational Inequalities

Journal of Function Spaces, Volume 2022, Issue 1, 2022., 2022
In this paper, we continue to investigate the convergence analysis of Tseng‐type forward‐backward‐forward algorithms for solving quasimonotone variational inequalities in Hilbert spaces. We use a self‐adaptive technique to update the step sizes without prior knowledge of the Lipschitz constant of quasimonotone operators.
Tzu-Chien Yin, Nawab Hussain, Calogero Vetro   +2 more
wiley   +1 more source

An Iterative Algorithm for Solving Fixed Point Problems and Quasimonotone Variational Inequalities

Journal of Mathematics, Volume 2022, Issue 1, 2022., 2022
In this paper, we survey a common problem of the fixed point problem and the quasimonotone variational inequality problem in Hilbert spaces. We suggest an iterative algorithm for finding a common element of the solution of a quasimonotone variational inequality and the fixed point of a pseudocontractive operator.
Tzu-Chien Yin, Yan-Kuen Wu, Ching-Feng Wen, Ljubisa Kocinac   +3 more
wiley   +1 more source

A Note on the Generalized Nonlinear Vector Variational‐Like Inequality Problem

Journal of Function Spaces, Volume 2021, Issue 1, 2021., 2021
In this paper, we discuss two variants of the generalized nonlinear vector variational‐like inequality problem. We provide their solutions by adopting topological approach. Topological properties such as compactness, closedness, and net theory are used in the proof.
Ankit Gupta, Satish Kumar, Ratna Dev Sarma, Pankaj Kumar Garg, Reny George, Yuanfang Ru   +5 more
wiley   +1 more source

Two Nonmonotonic Self‐Adaptive Strongly Convergent Projection‐Type Methods for Solving Pseudomonotone Variational Inequalities

Journal of Function Spaces, Volume 2021, Issue 1, 2021., 2021
The primary objective of this study is to introduce two novel extragradient‐type iterative schemes for solving variational inequality problems in a real Hilbert space. The proposed iterative schemes extend the well‐known subgradient extragradient method and are used to solve variational inequalities involving the pseudomonotone operator in real Hilbert
Chainarong Khunpanuk, Bancha Panyanak, Nuttapol Pakkaranang, Fanglei Wang   +3 more
wiley   +1 more source