DOI10.1016/j.jmaa.2007.07.019zbMath1129.49012OpenAlexW2041143200MaRDI QIDQ2465177
Hideaki Iiduka, Takahashi, Wataru
Publication date: 8 January 2008
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jmaa.2007.07.019
Modified Tseng's splitting algorithms for the sum of two monotone operators in Banach spaces ⋮
Parallel hybrid iterative methods for variational inequalities, equilibrium problems, and common fixed point problems ⋮
Strong convergence theorem for relatively nonexpansive mapping and inverse-strongly-monotone mapping in a Banach space ⋮
Computational of generalized projection method for maximal monotone operators and a countable family of relatively quasi-nonexpansive mappings ⋮
Strong convergent inertial Tseng’s extragradient method for solving non-Lipschitz quasimonotone variational inequalities in Banach spaces ⋮
Mann-Type Steepest-Descent and Modified Hybrid Steepest-Descent Methods for Variational Inequalities in Banach Spaces ⋮
Single projection algorithm for variational inequalities in Banach spaces with application to contact problem ⋮
Convergence theorems of solutions of a generalized variational inequality ⋮
Convergence theorems for uniformly quasi-\(\phi\)-asymptotically nonexpansive mappings, generalized equilibrium problems, and variational inequalities ⋮
A new modified block iterative algorithm for uniformly quasi-\(\varphi\)-asymptotically nonexpansive mappings and a system of generalized mixed equilibrium problems ⋮
Modified proximal point algorithms for finding a zero point of maximal monotone operators, generalized mixed equilibrium problems and variational inequalities ⋮
Strong convergence theorems for a common point of solution of variational inequality, solutions of equilibrium and fixed point problems ⋮
Fixed point of strong duality pseudocontractive mappings and applications ⋮
Strong convergence for maximal monotone operators, relatively quasi-nonexpansive mappings, variational inequalities and equilibrium problems ⋮
Weak convergence of an iterative sequence for accretive operators in Banach spaces ⋮
A hybrid iterative scheme for a maximal monotone operator and two countable families of relatively quasi-nonexpansive mappings for generalized mixed equilibrium and variational inequality problems ⋮
New algorithms for approximating zeros of inverse strongly monotone maps and \(J\)-fixed points ⋮
An improved algorithm with Armijo line-search rule for solving pseudomonotone variational inequality problems in Banach spaces ⋮
Mann-type algorithms for solving the monotone inclusion problem and the fixed point problem in reflexive Banach spaces ⋮
Weak and strong convergence results for solving monotone variational inequalities in reflexive Banach spaces ⋮
Strong convergence theorem for total quasi-\(\phi\)-asymptotically nonexpansive mappings in a Banach space ⋮
Existence and approximation for a solution of a generalized equilibrium problem on the dual space of a Banach space ⋮
Convergence results for a common solution of a finite family of variational inequality problems for monotone mappings with Bregman distance function ⋮
A new iterative scheme for generalized mixed equilibrium, variational inequality problems, and a zero point of maximal monotone operators ⋮
An iterative algorithm for a general system of variational inequalities and fixed point problems in \(q\)-uniformly smooth Banach spaces ⋮
Inertial hybrid gradient method with adaptive step size for variational inequality and fixed point problems of multivalued mappings in Banach spaces ⋮
Inertial‐like Bregman projection method for solving systems of variational inequalities ⋮
MODIFIED INERTIAL HYBRID SUBGRADIENT EXTRAGRADIENT METHOD FOR SOLVING VARIATIONAL INEQUALITIES AND FIXED POINT PROBLEMS FOR AN INFINITE FAMILY OF MULTIVALUED RELATIVELY NONEXPANSIVE MAPPINGS IN BANACH SPACES WITH APPLICATIONS ⋮
Convergence theorems for mixed equilibrium problems, variational inequality problem and uniformly quasi-\(\phi \)-asymptotically nonexpansive mappings ⋮
The shrinking projection method for solving generalized equilibrium problems and common fixed points for asymptotically quasi-\(\phi\)-nonexpansive mappings ⋮
Strong convergence theorems for variational inequality problems and quasi-\(\phi\)-asymptotically nonexpansive mappings ⋮
A proximal point algorithm for finding a common zero of a finite family of maximal monotone operators in the presence of computational errors ⋮
Approximating common solution of variational inequality problems for two monotone mappings in Banach spaces ⋮
Approximation of zeros of inverse strongly monotone operators in Banach spaces ⋮
Strong convergence of the Halpern subgradient extragradient method for solving variational inequalities in Banach spaces ⋮
Self-adaptive subgradient extragradient method for solving pseudomonotone variational inequality problems in Banach spaces ⋮
Strong convergence theorems for a solution of finite families of equilibrium and variational inequality problems ⋮
Combination of the hybrid steepest-descent method and the viscosity approximation ⋮
Variant extragradient-type method for monotone variational inequalities ⋮
A hybrid iterative scheme for variational inequality problems for finite families of relatively weak quasi-nonexpansive mappings ⋮
The shrinking projection method for solving variational inequality problems and fixed point problems in Banach spaces ⋮
Convergence theorem based on a new hybrid projection method for finding a common solution of generalized equilibrium and variational inequality problems in Banach spaces ⋮
An iteration to a common point of solution of variational inequality and fixed point-problems in Banach spaces ⋮
Hybrid proximal-point methods for zeros of maximal monotone operators, variational inequalities and mixed equilibrium problems ⋮
Korpelevich's method for variational inequality problems in Banach spaces ⋮
Weak convergence of a modified subgradient extragradient algorithm for monotone variational inequalities in Banach spaces ⋮
Weak convergence theorems for inverse-strongly skew-monotone operators and generalized mixed equilibrium problems in Banach spaces ⋮
Strong convergence theorems for relatively nonexpansive mappings and Lipschitz-continuous monotone mappings in Banach spaces ⋮
A hybrid iterative scheme for equilibrium problems, variational inequality problems, and fixed point problems in Banach spaces ⋮
Iterative algorithms for inverse-strongly accretive mappings with applications ⋮
Strong convergence of a hybrid projection algorithm for equilibrium problems, variational inequality problems and fixed point problems in a Banach space ⋮
An extragradient method and proximal point algorithm for inverse strongly monotone operators and maximal monotone operators in Banach spaces ⋮
Convergence results of forward-backward algorithms for sum of monotone operators in Banach spaces ⋮
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Strong convergence for a modified forward-backward splitting method in Banach spaces ⋮
Inertial Haugazeau's hybrid subgradient extragradient algorithm for variational inequality problems in Banach spaces ⋮
Convergence of the method of extrapolation from the past for variational inequalities in uniformly convex Banach spaces ⋮
Convergence of the operator extrapolation method for variational inequalities in Banach spaces ⋮
A totally relaxed, self-adaptive subgradient extragradient method for variational inequality and fixed point problems in a Banach space
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