Forward–backward splitting algorithm for fixed point problems and zeros of the sum of monotone operators

Vahid Dadashi; Mihai Postolache

doi:10.1007/s40065-018-0236-2

Forward–backward splitting algorithm for fixed point problems and zeros of the sum of monotone operators

Arabian Journal of Mathematics ◽

10.1007/s40065-018-0236-2 ◽

2019 ◽

Vol 9 (1) ◽

pp. 89-99 ◽

Cited By ~ 14

Author(s):

Vahid Dadashi ◽

Mihai Postolache

Keyword(s):

Fixed Point ◽

Monotone Operators ◽

Fixed Point Problems ◽

Splitting Algorithm

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A Hybrid Extragradient-Viscosity Method for Monotone Operators and Fixed Point Problems

SIAM Journal on Control and Optimization ◽

10.1137/060675319 ◽

2008 ◽

Vol 47 (3) ◽

pp. 1499-1515 ◽

Cited By ~ 124

Author(s):

Paul-Emile Maingé

Keyword(s):

Fixed Point ◽

Monotone Operators ◽

Fixed Point Problems ◽

Viscosity Method

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On a Hybrid Extragradient-Viscosity Method for Monotone Operators and Fixed Point Problems

Numerical Functional Analysis and Optimization ◽

10.1080/01630563.2013.808209 ◽

2013 ◽

Vol 35 (1) ◽

pp. 32-49 ◽

Cited By ~ 2

Author(s):

Rapeepan Kraikaew ◽

Satit Saejung

Keyword(s):

Fixed Point ◽

Monotone Operators ◽

Fixed Point Problems ◽

Viscosity Method

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A general inexact iterative method for monotone operators, equilibrium problems and fıxed point problems of semigroups in Hilbert spaces

Fixed Point Theory and Applications ◽

10.1186/1687-1812-2012-83 ◽

2012 ◽

Vol 2012 (1) ◽

Cited By ~ 2

Author(s):

Vittorio Colao ◽

Giuseppe Marino ◽

Daya Ram Sahu

Keyword(s):

Fixed Point ◽

Iterative Method ◽

Hilbert Spaces ◽

Equilibrium Problems ◽

Monotone Operators ◽

Fixed Point Problems

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A new iterative scheme for equilibrium problems, fixed point problems for nonexpansive mappings and maximal monotone operators

Fixed Point Theory and Applications ◽

10.1186/1687-1812-2012-27 ◽

2012 ◽

Vol 2012 (1) ◽

Cited By ~ 1

Author(s):

Nawitcha Onjai-uea ◽

Poom Kumam

Keyword(s):

Fixed Point ◽

Equilibrium Problems ◽

Iterative Scheme ◽

Nonexpansive Mappings ◽

Maximal Monotone ◽

Maximal Monotone Operators ◽

Monotone Operators ◽

Fixed Point Problems

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A new iteration process for equilibrium, variational inequality, fixed point problems, and zeros of maximal monotone operators in a Banach space

Journal of Inequalities and Applications ◽

10.1186/1029-242x-2013-23 ◽

2013 ◽

Vol 2013 (1) ◽

Author(s):

Siwaporn Saewan ◽

Poom Kumam

Keyword(s):

Banach Space ◽

Fixed Point ◽

Variational Inequality ◽

Maximal Monotone ◽

Iteration Process ◽

Maximal Monotone Operators ◽

Monotone Operators ◽

Fixed Point Problems

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Convergence theorems for maximal monotone operators and fixed point problems in Banach spaces

Applied Mathematics and Computation ◽

10.1016/j.amc.2014.04.083 ◽

2014 ◽

Vol 239 ◽

pp. 285-298 ◽

Cited By ~ 3

Author(s):

Yekini Shehu

Keyword(s):

Fixed Point ◽

Banach Spaces ◽

Maximal Monotone ◽

Maximal Monotone Operators ◽

Monotone Operators ◽

Fixed Point Problems ◽

Convergence Theorems

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Iterative algorithms for split equilibrium problems of monotone operators and fixed point problems of pseudo-contractions

Optimization ◽

10.1080/02331934.2020.1857757 ◽

2020 ◽

pp. 1-19

Author(s):

Yonghong Yao ◽

Huayu Li ◽

Mihai Postolache

Keyword(s):

Fixed Point ◽

Equilibrium Problems ◽

Iterative Algorithms ◽

Monotone Operators ◽

Fixed Point Problems

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Iterative algorithms for solving fixed point problems and variational inequalities with uniformly continuous monotone operators

Numerical Algorithms ◽

10.1007/s11075-017-0449-z ◽

2017 ◽

Vol 79 (2) ◽

pp. 529-553 ◽

Cited By ~ 5

Author(s):

Yekini Shehu ◽

Olaniyi S. Iyiola

Keyword(s):

Fixed Point ◽

Variational Inequalities ◽

Iterative Algorithms ◽

Monotone Operators ◽

Fixed Point Problems ◽

Uniformly Continuous

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On split equality monotone Yosida variational inclusion and fixed point problems for countable infinite families of certain nonlinear mappings in Hilbert spaces

Novi Sad Journal of Mathematics ◽

10.30755/nsjom.10119 ◽

2020 ◽

Vol Accepted ◽

Author(s):

Oluwatosin Temitope Mewomo ◽

Hammed Anuoluwapo Abass ◽

Chinedu Izuchukwu ◽

Olawale Kazeem Oyewole

Keyword(s):

Fixed Point ◽

Hilbert Spaces ◽

Fixed Point Problems ◽

Variational Inclusion ◽

Nonlinear Mappings

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Hybrid Iterative Methods for Convex Feasibility Problems and Fixed Point Problems of Relatively Nonexpansive Mappings in Banach Spaces

Fixed Point Theory and Applications ◽

10.1155/2008/583082 ◽

2008 ◽

Vol 2008 (1) ◽

pp. 583082 ◽

Cited By ~ 21

Author(s):

Somyot Plubtieng ◽

Kasamsuk Ungchittrakool

Keyword(s):

Fixed Point ◽

Banach Spaces ◽

Iterative Methods ◽

Nonexpansive Mappings ◽

Fixed Point Problems ◽

Convex Feasibility Problems ◽

Relatively Nonexpansive Mappings ◽

Convex Feasibility ◽

Relatively Nonexpansive ◽

Hybrid Iterative Methods

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