Strong convergence theorems for relatively nonexpansive mappings and Lipschitz-continuous monotone mappings in Banach spaces
DOI10.1007/s13226-019-0373-0zbMath1480.47094OpenAlexW2990089164WikidataQ126788191 ScholiaQ126788191MaRDI QIDQ2304156
Publication date: 6 March 2020
Published in: Indian Journal of Pure \& Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s13226-019-0373-0
strong convergencevariational inequalitygeneralized projectionmonotone mappingrelatively nonexpansive mapping2-uniformly convex Banach space
Monotone operators and generalizations (47H05) Iterative procedures involving nonlinear operators (47J25) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09)
Related Items
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Two algorithms for solving single-valued variational inequalities and fixed point problems
- Strong convergence of the Halpern subgradient extragradient method for solving variational inequalities in Hilbert spaces
- The subgradient extragradient method for solving variational inequalities in Hilbert space
- A strong convergence theorem for relatively nonexpansive mappings in a Banach space
- Algorithms for the split variational inequality problem
- Strong convergence theorem of an iterative method for variational inequalities and fixed point problems in Hilbert spaces
- An algorithm for finding a common point of the solutions of fixed point and variational inequality problems in Banach spaces
- Strong convergence theorem for relatively nonexpansive mapping and inverse-strongly-monotone mapping in a Banach space
- Strong convergence studied by a hybrid type method for monotone operators in a Banach space
- Strong convergence theorem by a hybrid extragradient-like approximation method for variational inequalities and fixed point problems
- Viscosity approximation methods for nonexpansive mappings and monotone mappings
- Sharp uniform convexity and smoothness inequalities for trace norms
- Weak convergence theorems for nonexpansive mappings and monotone mappings
- Strong convergence for gradient projection method and relatively nonexpansive mappings in Banach spaces
- Strong convergence theorems for nonexpansive mappings and inverse-strongly monotone mappings
- Weak convergence of a projection algorithm for variational inequalities in a Banach space
- Acceleration method for convex optimization over the fixed point set of a nonexpansive mapping
- A new iterative algorithm for the variational inequality problem over the fixed point set of a firmly nonexpansive mapping
- Strong convergence of subgradient extragradient methods for the variational inequality problem in Hilbert space
- A subgradient-type method for the equilibrium problem over the fixed point set and its applications
- A Hybrid Extragradient-Viscosity Method for Monotone Operators and Fixed Point Problems
- A Use of Conjugate Gradient Direction for the Convex Optimization Problem over the Fixed Point Set of a Nonexpansive Mapping
- Strong Convergence Theorem by a Hybrid Method for Nonexpansive Mappings and Lipschitz-Continuous Monotone Mappings
- Variational inequalities
This page was built for publication: Strong convergence theorems for relatively nonexpansive mappings and Lipschitz-continuous monotone mappings in Banach spaces