Iterative algorithms for the split variational inequality and fixed point problems under nonlinear transformations

The Journal of Nonlinear Sciences and Applications ◽

10.22436/jnsa.010.02.43 ◽

2017 ◽

Vol 10 (02) ◽

pp. 843-854 ◽

Author(s):

Yonghong Yao ◽

Yeong-Cheng Liou ◽

Jen-Chih Yao

Keyword(s):

Fixed Point ◽

Variational Inequality ◽

Iterative Algorithms ◽

Fixed Point Problems ◽

Nonlinear Transformations ◽

Split Variational Inequality

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Strong convergence of iterative algorithms with variable coefficients for generalized equilibrium problems, variational inequality problems and fixed point problems

Fixed Point Theory and Applications ◽

10.1186/1687-1812-2013-257 ◽

2013 ◽

Vol 2013 (1) ◽

Author(s):

Ci-Shui Ge ◽

Neng-Fu Yu ◽

Lin Zhao

Keyword(s):

Fixed Point ◽

Variational Inequality ◽

Strong Convergence ◽

Equilibrium Problems ◽

Iterative Algorithms ◽

Variable Coefficients ◽

Variational Inequality Problems ◽

Fixed Point Problems ◽

Generalized Equilibrium

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A new algorithm for finding a common solution of a split variational inequality problem, the fixed point problems and the variational inclusion problems

Journal of Mathematical Inequalities ◽

10.7153/jmi-2021-15-115 ◽

2021 ◽

pp. 1677-1693

Author(s):

Wenl ng Sun ◽

Yan iu Liu ◽

Yuanf ng Jin ◽

Choonkil Park

Keyword(s):

Fixed Point ◽

Variational Inequality ◽

Variational Inequality Problem ◽

Fixed Point Problems ◽

Variational Inclusion ◽

Inclusion Problems ◽

Inequality Problem ◽

Common Solution ◽

Split Variational Inequality ◽

Split Variational Inequality Problem

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Algorithms for the common solution of the split variational inequality problems and fixed point problems with applications

Journal of Inequalities and Applications ◽

10.1186/s13660-018-1942-1 ◽

2018 ◽

Vol 2018 (1) ◽

Author(s):

Panisa Lohawech ◽

Anchalee Kaewcharoen ◽

Ali Farajzadeh

Keyword(s):

Fixed Point ◽

Variational Inequality ◽

Variational Inequality Problems ◽

Fixed Point Problems ◽

Common Solution ◽

Split Variational Inequality ◽

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Two-step iterative algorithms for hierarchical fixed point problems and variational inequality problems

Journal of Applied Mathematics and Computing ◽

10.1007/s12190-008-0222-5 ◽

2008 ◽

Vol 31 (1-2) ◽

pp. 433-445 ◽

Author(s):

Yonghong Yao ◽

Yeong-Cheng Liou ◽

Giuseppe Marino

Keyword(s):

Fixed Point ◽

Variational Inequality ◽

Iterative Algorithms ◽

Variational Inequality Problems ◽

Fixed Point Problems ◽

Hierarchical Fixed Point ◽

Hierarchical Fixed Point Problems

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Viscosity iterative algorithms for fixed point problems of asymptotically nonexpansive mappings in the intermediate sense and variational inequality problems in Banach spaces

Numerical Algorithms ◽

10.1007/s11075-017-0269-1 ◽

2017 ◽

Vol 76 (2) ◽

pp. 521-553 ◽

Author(s):

Gang Cai ◽

Yekini Shehu ◽

Olaniyi Samuel Iyiola

Keyword(s):

Fixed Point ◽

Variational Inequality ◽

Banach Spaces ◽

Nonexpansive Mappings ◽

Iterative Algorithms ◽

Variational Inequality Problems ◽

Fixed Point Problems ◽

Asymptotically Nonexpansive Mappings ◽

Asymptotically Nonexpansive

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Analysis of two variants of an inertial projection algorithm for finding the minimum-norm solutions of variational inequality and fixed point problems

Numerical Algorithms ◽

10.1007/s11075-021-01169-8 ◽

2021 ◽

Author(s):

Ha Manh Linh ◽

Simeon Reich ◽

Duong Viet Thong ◽

Vu Tien Dung ◽

Nguyen Phuong Lan

Keyword(s):

Fixed Point ◽

Variational Inequality ◽

Fixed Point Problems ◽

Projection Algorithm ◽

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Approach to common elements of variational inequality problems and fixed point problems via a relaxed extragradient method

Computers & Mathematics with Applications ◽

10.1016/j.camwa.2010.03.036 ◽

2010 ◽

Vol 59 (11) ◽

pp. 3472-3480 ◽

Author(s):

Yonghong Yao ◽

Yeong-Cheng Liou ◽

Shin Min Kang

Keyword(s):

Fixed Point ◽

Variational Inequality ◽

Extragradient Method ◽

Variational Inequality Problems ◽

Fixed Point Problems ◽

Common Elements

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Solving variational inequality and fixed point problems by line searches and potential optimization

Mathematical Programming ◽

10.1007/s10107-003-0476-5 ◽

2004 ◽

Vol 101 (3) ◽

pp. 435-461 ◽

Author(s):

Thomas L. Magnanti ◽

Georgia Perakis

Keyword(s):

Fixed Point ◽

Variational Inequality ◽

Fixed Point Problems ◽

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Inertial subgradient extragradient algorithms with line-search process for solving variational inequality problems and fixed point problems

Numerical Algorithms ◽

10.1007/s11075-018-0527-x ◽

2018 ◽

Vol 80 (4) ◽

pp. 1283-1307 ◽

Author(s):

Duong Viet Thong ◽

Dang Van Hieu

Keyword(s):

Fixed Point ◽

Variational Inequality ◽

Line Search ◽

Variational Inequality Problems ◽

Fixed Point Problems ◽

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Strong convergence theorems for a common point of solution of variational inequality, solutions of equilibrium and fixed point problems

Fixed Point Theory and Applications ◽

10.1186/1687-1812-2012-119 ◽

2012 ◽

Vol 2012 (1) ◽

pp. 119 ◽

Author(s):

Habtu Zegeye ◽

Naseer Shahzad ◽

Mohammad Alghamdi

Keyword(s):

Fixed Point ◽

Variational Inequality ◽

Strong Convergence ◽

Common Point ◽

Fixed Point Problems ◽

Convergence Theorems

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