Viscosity methods for common solutions of equilibrium and variational inequality problems via multi-step iterative algorithms and common fixed points

Nonlinear Analysis ◽

10.1016/j.na.2011.09.019 ◽

2012 ◽

Vol 75 (4) ◽

pp. 1787-1798 ◽

Author(s):

Giuseppe Marino ◽

Luigi Muglia ◽

YongHong Yao

Keyword(s):

Variational Inequality ◽

Fixed Points ◽

Iterative Algorithms ◽

Common Fixed Points ◽

Variational Inequality Problems

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A hybrid shrinking projection method for common fixed points of a finite family of demicontractive mappings with variational inequality problems

Banach Journal of Mathematical Analysis ◽

10.1215/17358787-2017-0010 ◽

2017 ◽

Vol 11 (3) ◽

pp. 661-675

Author(s):

Suthep Suantai ◽

Withun Phuengrattana

Keyword(s):

Variational Inequality ◽

Fixed Points ◽

Projection Method ◽

Common Fixed Points ◽

Finite Family ◽

Variational Inequality Problems ◽

Shrinking Projection Method ◽

Demicontractive Mappings

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A new algorithm for variational inequality problems with alpha-inverse strongly monotone maps and common fixed points for a countable family of relatively weak nonexpansive maps, with applications

Advances in Fixed Point Theory ◽

10.28919/afpt/3394 ◽

2019 ◽

Keyword(s):

Variational Inequality ◽

Fixed Points ◽

Common Fixed Points ◽

Variational Inequality Problems ◽

Countable Family ◽

Strongly Monotone ◽

Nonexpansive Maps ◽

Monotone Maps ◽

Inverse Strongly Monotone

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A novel iterative algorithm with convergence analysis for split common fixed points and variational inequality problems

Fixed Point Theory ◽

10.24193/fpt-ro.2021.1.09 ◽

2021 ◽

Vol 22 (1) ◽

pp. 123-140

Author(s):

Mohammad Eslamian ◽

Yekini Shehu ◽

Olaniyi S. Iyiola

Keyword(s):

Variational Inequality ◽

Fixed Points ◽

Convergence Analysis ◽

Iterative Algorithm ◽

Common Fixed Points ◽

Variational Inequality Problems

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A new algorithm for variational inequality problems with a generalized phi-strongly monotone map over the set of common fixed points of a finite family of quasi-phi-nonexpansive maps, with applications

Journal of Fixed Point Theory and Applications ◽

10.1007/s11784-018-0502-0 ◽

2018 ◽

Vol 20 (1) ◽

Author(s):

C. E. Chidume ◽

U. V. Nnyaba ◽

O. M. Romanus

Keyword(s):

Variational Inequality ◽

Fixed Points ◽

Common Fixed Points ◽

Finite Family ◽

Variational Inequality Problems ◽

Strongly Monotone ◽

Monotone Map ◽

Nonexpansive Maps

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On iterative method for hierarchical fixed points problems and variational inequality problems

Innovation, Communication and Engineering ◽

10.1201/b15935-198 ◽

2013 ◽

pp. 773-778

Author(s):

Yeong-Cheng Liou

Keyword(s):

Variational Inequality ◽

Iterative Method ◽

Fixed Points ◽

Variational Inequality Problems

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Strong Convergence of a General Iterative Algorithm for Mixed Equilibrium, Variational Inequality and Common Fixed Points Problems

Advances in Pure Mathematics ◽

10.4236/apm.2013.31011 ◽

2013 ◽

Vol 03 (01) ◽

pp. 83-98

Author(s):

Tanakit Thianwan

Keyword(s):

Variational Inequality ◽

Strong Convergence ◽

Fixed Points ◽

Iterative Algorithm ◽

Common Fixed Points ◽

Mixed Equilibrium

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Iterative algorithms with regularization for hierarchical variational inequality problems and convex minimization problems

Fixed Point Theory and Applications ◽

10.1186/1687-1812-2013-284 ◽

2013 ◽

Vol 2013 (1) ◽

pp. 284 ◽

Author(s):

Lu-Chuan Ceng ◽

Suliman Al-Homidan ◽

Qamrul Ansari

Keyword(s):

Variational Inequality ◽

Iterative Algorithms ◽

Convex Minimization ◽

Variational Inequality Problems ◽

Minimization Problems ◽

Convex Minimization Problems

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Common fixed points of strict pseudocontractions by iterative algorithms

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2011.04.063 ◽

2011 ◽

Vol 382 (2) ◽

pp. 631-644 ◽

Author(s):

Vittorio Colao ◽

Giuseppe Marino

Keyword(s):

Fixed Points ◽

Iterative Algorithms ◽

Common Fixed Points

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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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New hybrid shrinking projection algorithm for common fixed points of a family of countable quasi-Bregman strictly pseudocontractive mappings with equilibrium and variational inequality and optimization problems

Fixed Point Theory and Applications ◽

10.1186/s13663-015-0347-9 ◽

2015 ◽

Vol 2015 (1) ◽

Author(s):

Yongchun Xu ◽

Yongfu Su

Keyword(s):

Variational Inequality ◽

Fixed Points ◽

Optimization Problems ◽

Common Fixed Points ◽

Projection Algorithm ◽

Pseudocontractive Mappings ◽

Shrinking Projection Algorithm ◽

Strictly Pseudocontractive Mappings

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