A hybrid approximation method for equilibrium, variational inequality and fixed point problems
From MaRDI portal
Publication:608359
DOI10.1016/j.nahs.2010.03.005zbMath1292.47057OpenAlexW2085316610MaRDI QIDQ608359
Publication date: 25 November 2010
Published in: Nonlinear Analysis. Hybrid Systems (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.nahs.2010.03.005
strong convergenceequilibrium problemsfixed point problemsmonotone mappingsvariational inequality problems\(\gamma\)-inverse strongly monotone mappings
Iterative procedures involving nonlinear operators (47J25) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09)
Related Items
Approximating a common point of fixed points of a pseudocontractive mapping and zeros of sum of monotone mappings ⋮ An algorithm for finding a common point of the solution set of a variational inequality and the fixed point set of a Bregman relatively nonexpansive mapping ⋮ A hybrid iteration scheme for equilibrium problems and common fixed point problems of generalized quasi-\(\varphi\)-asymptotically nonexpansive mappings in Banach spaces ⋮ Strong convergence theorems for a common point of solution of variational inequality, solutions of equilibrium and fixed point problems ⋮ Convergence results for a common solution of a finite family of variational inequality problems for monotone mappings with Bregman distance function ⋮ Convergence theorems for a common point of solutions of equilibrium and fixed point of relatively nonexpansive multivalued mapping problems ⋮ Hybrid approximation of solutions of nonlinear operator equations and application to equation of Hammerstein-type ⋮ Strong convergence theorems for variational inequality problems and quasi-\(\phi\)-asymptotically nonexpansive mappings ⋮ Convergence theorems for asymptotically pseudocontractive mappings in the intermediate sense ⋮ Strong convergence theorems for fixed point problems, variational inequality problems and system of generalized mixed equilibrium problems ⋮ On solutions of variational inequality problems via iterative methods ⋮ Convergence theorems for right Bregman strongly nonexpansive mappings in reflexive Banach spaces ⋮ A modified hybrid projection method for solving generalized mixed equilibrium problems and fixed point problems in Banach spaces ⋮ Iterative algorithm for a common fixed point of two mono-pseudocontractive mappings in Banach spaces ⋮ The general split equality problem for Bregman quasi-nonexpansive mappings in Banach spaces ⋮ The shrinking projection method for common solutions of generalized mixed equilibrium problems and fixed point problems for strictly pseudocontractive mappings ⋮ An iteration to a common point of solution of variational inequality and fixed point-problems in Banach spaces ⋮ An algorithm for finding common solutions of various problems in nonlinear operator theory ⋮ Strong convergence theorems for quasi-Bregman nonexpansive mappings in reflexive Banach spaces ⋮ A scheme for a solution of a variational inequality for a monotone mapping and a fixed point of a pseudocontractive mapping
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Monotone CQ iteration processes for nonexpansive semigroups and maximal monotone operators
- Strong convergence studied by a hybrid type method for monotone operators in a Banach space
- Strong convergence of monotone hybrid algorithm for hemi-relatively nonexpansive mappings
- Strong convergence theorem by a new hybrid method for equilibrium problems and relatively nonexpansive mappings
- Convergence theorems of common elements for equilibrium problems and fixed point problems in Banach spaces
- Strong convergence theorems for monotone mappings and relatively weak nonexpansive mappings
- A hybrid approximation method for equilibrium and fixed point problems for a monotone mapping and a nonexpansive mapping
- Strong convergence theorems for nonexpansive mappings and nonexpansive semigroups.
- Forcing strong convergence of proximal point iterations in a Hilbert space
- On the projection methods for fixed point problems
- Inequalities in Banach spaces with applications
- Monotone Operators and the Proximal Point Algorithm
- Asymptotic Behavior of Relatively Nonexpansive Operators in Banach Spaces
- Iterations of paracontractions and firmaly nonexpansive operators with applications to feasibility and optimization
- Strong Convergence of a Proximal-Type Algorithm in a Banach Space
- Metric and Generalized Projection Operators in Banach Spaces: Properties and Applications
- Variational inequalities