A strongly convergent algorithm for solving multiple set split equality equilibrium and fixed point problems in Banach spaces
From MaRDI portal
Publication:6133940
DOI10.1017/s0013091523000251OpenAlexW4380997732MaRDI QIDQ6133940
E. C. Godwin, T. O. Alakoya, Oluwatosin Temitope Mewomo
Publication date: 25 July 2023
Published in: Proceedings of the Edinburgh Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1017/s0013091523000251
Banach spacesstrong convergenceequilibrium problemsplit feasibility problemquasi-nonexpansive mappingBregman distancefixed-point problempseudomonotone bifunction\(p\)-uniformly convex
Variational inequalities (49J40) Fixed-point theorems (47H10) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09) Existence theories for optimal control problems involving partial differential equations (49J20)
Related Items
Solving quasimonotone and non-monotone variational inequalities ⋮ An inertial iterative algorithm for approximating common solutions to split equalities of some nonlinear optimization problems ⋮ Relaxed double inertial Tseng's extragradient method for solving non-Lipschitz split monotone variational inclusion problems with fixed point constraints ⋮ Strong convergent algorithm for finding minimum-norm solutions of quasimonotone variational inequalities with fixed point constraint and application
Cites Work
- Parallel hybrid extragradient methods for pseudomonotone equilibrium problems and nonexpansive mappings
- The split equilibrium problem and its convergence algorithms
- Split monotone variational inclusions
- Algorithms for the split variational inequality problem
- Characteristic inequalities of uniformly convex and uniformly smooth Banach spaces
- A multiprojection algorithm using Bregman projections in a product space
- A hybrid extragradient method for solving pseudomonotone equilibrium problems using Bregman distance
- Bregman strongly nonexpansive operators in reflexive Banach spaces
- An inertial extrapolation method for solving generalized split feasibility problems in real Hilbert spaces
- Convergence of relaxed inertial subgradient extragradient methods for quasimonotone variational inequality problems
- Inertial-viscosity-type algorithms for solving generalized equilibrium and fixed point problems in Hilbert spaces
- Strong convergence of a self-adaptive inertial Tseng's extragradient method for pseudomonotone variational inequalities and fixed point problems
- Strong convergence results for quasimonotone variational inequalities
- Relaxed inertial methods for solving split variational inequality problems without product space formulation
- Accelerated hybrid methods for solving pseudomonotone equilibrium problems
- Some results for split equality equilibrium problems in Banach spaces
- Bregman distance and strong convergence of proximal-type algorithms
- Common solutions to pseudomonotone equilibrium problems
- Parallel extragradient algorithms for multiple set split equilibrium problems in Hilbert spaces
- Geometric properties of Banach spaces and nonlinear iterations
- A new inertial-projection algorithm for approximating common solution of variational inequality and fixed point problems of multivalued mappings
- A new projection and contraction method for solving split monotone variational inclusion, pseudomonotone variational inequality, and common fixed point problems
- Three Strong Convergence Theorems Regarding Iterative Methods for Solving Equilibrium Problems in Reflexive Banach Spaces
- Iterative Methods for Solving Systems of Variational Inequalities in Reflexive Banach Spaces
- An iterative regularization method for the solution of the split feasibility problem in Banach spaces
- Iterations of paracontractions and firmaly nonexpansive operators with applications to feasibility and optimization
- Convergence analysis of common solution of certain nonlinear problems
- Re-examination of Bregman functions and new properties of their divergences
- Fenchel duality, Fitzpatrick functions and the Kirszbraun–Valentine extension theorem
- A hybrid extragradient method extended to fixed point problems and equilibrium problems
- A halpern-type iteration for solving the split feasibility problem and the fixed point problem of Bregman relatively nonexpansive semigroup in Banach spaces
- Iterative algorithm with self-adaptive step size for approximating the common solution of variational inequality and fixed point problems
- Relaxed inertial Tseng extragradient method for variational inequality and fixed point problems
- Iterative method for solving split common fixed point problem of asymptotically demicontractive mappings in Hilbert spaces
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: A strongly convergent algorithm for solving multiple set split equality equilibrium and fixed point problems in Banach spaces
