Two strong convergence theorems for the common null point problem in Banach spaces
From MaRDI portal
Publication:2337361
DOI10.1007/s40306-019-00326-5OpenAlexW2910466389WikidataQ128505918 ScholiaQ128505918MaRDI QIDQ2337361
Nguyen Minh Trang, Truong Minh Tuyen
Publication date: 19 November 2019
Published in: Acta Mathematica Vietnamica (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s40306-019-00326-5
maximal monotone operatormetric resolventsplit common null point problem\( \varepsilon \)-enlargement
Monotone operators and generalizations (47H05) Iterative procedures involving nonlinear operators (47J25) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A shrinking projection method for nonexpansive mappings with nonsummable errors in a Hadamard space
- Convergence of best approximations in a smooth Banach space
- Strong convergence of shrinking projection methods for quasi-nonexpansive mappings and equilibrium problems
- Enlargement of monotone operators with applications to variational inequalities
- Projection and proximal point methods: Convergence results and counterexamples.
- A hybrid approximate extragradient-proximal point algorithm using the enlargement of a maximal monotone operator
- \(\varepsilon\)-enlargements of maximal monotone operators in Banach spaces
- The shrinking projection method for solving generalized equilibrium problems and common fixed points for asymptotically quasi-\(\phi\)-nonexpansive mappings
- Forcing strong convergence of proximal point iterations in a Hilbert space
- On a hybrid method for a family of relatively nonexpansive mappings in a Banach space
- Strong convergence theorems by hybrid methods for families of nonexpansive mappings in Hilbert spaces
- Nonlinear maximal monotone operators in Banach space
- Convergence of convex sets and of solutions of variational inequalities
- On the maximal monotonicity of subdifferential mappings
- On the Convergence of the Proximal Point Algorithm for Convex Minimization
- Inequalities in Banach spaces with applications
- Monotone Operators and the Proximal Point Algorithm
- Construction of best Bregman approximations in reflexive Banach spaces
- Strong Convergence of a Proximal-Type Algorithm in a Banach Space
- Bregman Monotone Optimization Algorithms
- On the Minimizing Property of a Second Order Dissipative System in Hilbert Spaces
- Metric and Generalized Projection Operators in Banach Spaces: Properties and Applications
- Strong convergence theorem by shrinking projection method for new nonlinear mappings in Banach spaces and applications
- SHRINKING PROJECTION ALGORITHMS FOR THE SPLIT COMMON NULL POINT PROBLEM
- Fixed Point Theory for Lipschitzian-type Mappings with Applications
- On the Maximality of Sums of Nonlinear Monotone Operators
This page was built for publication: Two strong convergence theorems for the common null point problem in Banach spaces