Iterative algorithm with self-adaptive step size for approximating the common solution of variational inequality and fixed point problems

[1]  T. O. Alakoya,et al.  An iterative algorithm for solving variational inequality, generalized mixed equilibrium, convex minimization and zeros problems for a class of nonexpansive-type mappings , 2021 .

[2]  Shuang Wang,et al.  A general iterative method for obtaining an infinite family of strictly pseudo-contractive mappings in Hilbert spaces , 2011, Appl. Math. Lett..

[3]  A. Petruşel,et al.  On Mann Viscosity Subgradient Extragradient Algorithms for Fixed Point Problems of Finitely Many Strict Pseudocontractions and Variational Inequalities , 2019, Mathematics.

[4]  T. O. Alakoya,et al.  Strong convergence theorem for fixed points of relatively nonexpansive multi-valued mappings and equilibrium problems in Banach spaces , 2020 .

[5]  Dimitri P. Bertsekas,et al.  On the Douglas—Rachford splitting method and the proximal point algorithm for maximal monotone operators , 1992, Math. Program..

[6]  W. Takahashi,et al.  STRONG CONVERGENCE TO COMMON FIXED POINTS OF INFINITE NONEXPANSIVE MAPPINGS AND APPLICATIONS , 2001 .

[7]  T. O. Alakoya,et al.  Inertial shrinking projection algorithm with self-adaptive step size for split generalized equilibrium and fixed point problems for a countable family of nonexpansive multivalued mappings , 2021, Demonstratio Mathematica.

[8]  Rudong Chen,et al.  Strong convergence theorems for strict pseudo-contractions in Hilbert spaces , 2010 .

[9]  O. T. Mewomo,et al.  Strong convergence theorems for finite families of pseudomonotone equilibrium and fixed point problems in Banach spaces , 2021, Afrika Matematika.

[10]  G. N. Ogwo,et al.  An inertial method for solving generalized split feasibility problems over the solution set of monotone variational inclusions , 2020, Optimization.

[11]  O. T. Mewomo,et al.  Inertial algorithm with self-adaptive step size for split common null point and common fixed point problems for multivalued mappings in Banach spaces , 2021, Optimization.

[12]  Boris Polyak Some methods of speeding up the convergence of iteration methods , 1964 .

[13]  Bancha Panyanak,et al.  Mann and Ishikawa iterative processes for multivalued mappings in Banach spaces , 2007, Comput. Math. Appl..

[14]  Jen-Chih Yao,et al.  Mildly Inertial Subgradient Extragradient Method for Variational Inequalities Involving an Asymptotically Nonexpansive and Finitely Many Nonexpansive Mappings , 2019, Mathematics.

[15]  Yair Censor,et al.  Strong convergence of subgradient extragradient methods for the variational inequality problem in Hilbert space , 2011, Optim. Methods Softw..

[16]  Yair Censor,et al.  Extensions of Korpelevich's extragradient method for the variational inequality problem in Euclidean space , 2012 .

[17]  A. Petruşel,et al.  Hybrid viscosity extragradient method for systems of variational inequalities, fixed points of nonexpansive mappings, zero points of accretive operators in Banach spaces , 2018, Fixed Point Theory.

[18]  Jen-Chih Yao,et al.  On modified iterative method for nonexpansive mappings and monotone mappings , 2007, Appl. Math. Comput..

[19]  A. Petruşel,et al.  A modified inertial subgradient extragradient method for solving pseudomonotone variational inequalities and common fixed point problems , 2020, Fixed Point Theory.

[20]  Hongwei Liu,et al.  Strong convergence result for solving monotone variational inequalities in Hilbert space , 2018, Numerical Algorithms.

[21]  Yekini Shehu,et al.  Strong convergence result for monotone variational inequalities , 2017, Numerical Algorithms.

[22]  X. Qin,et al.  Weak and strong convergence of inertial Tseng's extragradient algorithms for solving variational inequality problems , 2020 .

[23]  Paul-Emile Maingé,et al.  A Hybrid Extragradient-Viscosity Method for Monotone Operators and Fixed Point Problems , 2008, SIAM J. Control. Optim..

[24]  Oluwatosin Temitope Mewomo,et al.  A new inertial-projection algorithm for approximating common solution of variational inequality and fixed point problems of multivalued mappings , 2021, Numerical Algebra, Control & Optimization.

[25]  Haiyun Zhou,et al.  Convergence theorems of fixed points for -strict pseudo-contractions in Hilbert spaces , 2008 .

[26]  Z. Opial Weak convergence of the sequence of successive approximations for nonexpansive mappings , 1967 .

[27]  Patrick L. Combettes,et al.  Signal Recovery by Proximal Forward-Backward Splitting , 2005, Multiscale Model. Simul..

[28]  J. Hiriart-Urruty,et al.  Fundamentals of Convex Analysis , 2004 .

[29]  Yair Censor,et al.  Algorithms for the Split Variational Inequality Problem , 2010, Numerical Algorithms.

[30]  Wataru Takahashi,et al.  Weak Convergence Theorem by an Extragradient Method for Nonexpansive Mappings and Monotone Mappings , 2006 .

[31]  C. Izuchukwu,et al.  An inertial extrapolation method for solving generalized split feasibility problems in real hilbert spaces , 2021 .

[32]  L. Ceng,et al.  Composite inertial subgradient extragradient methods for variational inequalities and fixed point problems , 2019, Journal of Inequalities and Applications.

[33]  Chinedu Izuchukwu,et al.  A modified extragradient algorithm for a certain class of split pseudo-monotone variational inequality problem , 2021, Numerical Algebra, Control & Optimization.

[34]  Duong Viet Thong,et al.  Weak and strong convergence theorems for variational inequality problems , 2017, Numerical Algorithms.

[35]  Wataru Takahashi,et al.  Weak Convergence Theorems for Nonexpansive Mappings and Monotone Mappings , 2003 .

[36]  T. O. Alakoya,et al.  Halpern-type iterative process for solving split common fixed point and monotone variational inclusion problem between Banach spaces , 2020, Numerical Algorithms.

[37]  Yekini Shehu,et al.  A modified inertial subgradient extragradient method for solving variational inequalities , 2021, Optimization and Engineering.

[38]  O. T. Mewomo,et al.  Inertial methods for finding minimum-norm solutions of the split variational inequality problem beyond monotonicity , 2021, Numerical Algorithms.

[39]  Patrick L. Combettes,et al.  A block-iterative surrogate constraint splitting method for quadratic signal recovery , 2003, IEEE Trans. Signal Process..

[40]  Chi Kin Chan,et al.  A new method for solving equilibrium problem fixed point problem and variational inequality problem with application to optimization , 2009 .