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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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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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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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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A STRONGLY CONVERGENT SHRINKING DESCENT-LIKE HALPERN’S METHOD FOR MONOTONE VARIATIONAL INEQUALITY AND FIXED POINT PROBLEMS

Acta Mathematica Vietnamica ◽

10.1007/s40306-014-0071-2 ◽

2014 ◽

Vol 39 (3) ◽

pp. 379-391

Author(s):

Nguyen Thi Thu Thuy

Keyword(s):

Fixed Point ◽

Variational Inequality ◽

Fixed Point Problems ◽

Monotone Variational Inequality

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STRONG CONVERGENCE THEOREM BY AN EXTRAGRADIENT METHOD FOR FIXED POINT PROBLEMS AND VARIATIONAL INEQUALITY PROBLEMS

Taiwanese Journal of Mathematics ◽

10.11650/twjm/1500557303 ◽

2006 ◽

Vol 10 (5) ◽

pp. 1293-1303 ◽

Author(s):

Lu-Chuan Zeng ◽

Jen-Chih Yao

Keyword(s):

Fixed Point ◽

Variational Inequality ◽

Strong Convergence ◽

Convergence Theorem ◽

Extragradient Method ◽

Variational Inequality Problems ◽

Fixed Point Problems ◽

Strong Convergence Theorem

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Modified extragradient methods for variational inequality problems and fixed point problems for an infinite family of nonexpansive mappings in Banach spaces

Journal of Global Optimization ◽

10.1007/s10898-012-9883-6 ◽

2012 ◽

Vol 55 (2) ◽

pp. 437-457 ◽

Author(s):

Gang Cai ◽

Shangquan Bu

Keyword(s):

Fixed Point ◽

Variational Inequality ◽

Banach Spaces ◽

Nonexpansive Mappings ◽

Infinite Family ◽

Variational Inequality Problems ◽

Fixed Point Problems ◽

Extragradient Methods

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Convergence theorems for fixed point problems and variational inequality problems in Hilbert spaces

Mathematische Nachrichten ◽

10.1002/mana.200610817 ◽

2009 ◽

Vol 282 (12) ◽

pp. 1827-1835 ◽

Author(s):

Yonghong Yao ◽

Yeong-Cheng Liou ◽

Rudong Chen

Keyword(s):

Fixed Point ◽

Variational Inequality ◽

Hilbert Spaces ◽

Variational Inequality Problems ◽

Fixed Point Problems ◽

Convergence Theorems

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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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