scholarly journals A regularized smoothing Newton-type algorithm for quasi-variational inequalities

2014 ◽  
Vol 68 (10) ◽  
pp. 1312-1324 ◽  
Author(s):  
Tie Ni ◽  
Jun Zhai
Keyword(s):  
Variational Inequalities ◽  
Type Algorithm

scholarly journals Solving Yosida inclusion problem in Hadamard manifold

2019 ◽  
Vol 9 (2) ◽  
pp. 357-366 ◽  
Author(s):  
Mohammad Dilshad
Keyword(s):  
Approximate Solution ◽  
Vector Field ◽  
Variational Inequalities ◽  
Hadamard Manifold ◽  
Inclusion Problem ◽  
Approximation Operator ◽  
Hadamard Manifolds ◽  
Yosida Approximation ◽  
Type Algorithm ◽  
Monotone Vector Field

Abstract We consider a Yosida inclusion problem in the setting of Hadamard manifolds. We study Korpelevich-type algorithm for computing the approximate solution of Yosida inclusion problem. The resolvent and Yosida approximation operator of a monotone vector field and their properties are used to prove that the sequence generated by the proposed algorithm converges to the solution of Yosida inclusion problem. An application to our problem and algorithm is presented to solve variational inequalities in Hadamard manifolds.

An extragradient-type algorithm for non-smooth variational inequalities

Optimization ◽  
2000 ◽  
Vol 48 (3) ◽  
pp. 309-332 ◽  
Author(s):  
Alfredo N Iusem ◽  
Luis R Lucambio Pérez
Keyword(s):  
Variational Inequalities ◽  
Type Algorithm

scholarly journals A Tseng-Type Algorithm with Self-Adaptive Techniques for Solving the Split Problem of Fixed Points and Pseudomonotone Variational Inequalities in Hilbert Spaces

Axioms ◽  
2021 ◽  
Vol 10 (3) ◽  
pp. 152
Author(s):  
Li-Jun Zhu ◽  
Yeong-Cheng Liou
Keyword(s):  
Variational Inequalities ◽  
Fixed Points ◽  
Iterative Algorithm ◽  
Hilbert Spaces ◽  
Pseudomonotone Operators ◽  
Adaptive Techniques ◽  
Type Algorithm ◽  
Self Adaptive

In this paper, we survey the split problem of fixed points of two pseudocontractive operators and variational inequalities of two pseudomonotone operators in Hilbert spaces. We present a Tseng-type iterative algorithm for solving the split problem by using self-adaptive techniques. Under certain assumptions, we show that the proposed algorithm converges weakly to a solution of the split problem. An application is included.

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