Inertial approximation method for split variational inclusion problem in Banach spaces
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Publication:5052667
DOI10.22075/ijnaa.2020.20636.2185OpenAlexW3036279763MaRDI QIDQ5052667
Olawale K. Oyewole, Oluwatosin Temitope Mewomo, Chinedu Izuchukwu, Chibueze Christian Okeke
Publication date: 25 November 2022
Full work available at URL: https://ijnaa.semnan.ac.ir/article_4473_b4f44fcb0ff408536d24ea455d3d6766.pdf
accretive operatorweak convergencefixed pointminimization problemBanach spacevariational inclusion probleminertial
Nonlinear accretive operators, dissipative operators, etc. (47H06) Iterative procedures involving nonlinear operators (47J25) Fixed-point theorems (47H10) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09) Applications of functional analysis in optimization, convex analysis, mathematical programming, economics (46N10)
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Cites Work
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- Inertial Douglas-Rachford splitting for monotone inclusion problems
- An inertial Tseng's type proximal algorithm for nonsmooth and nonconvex optimization problems
- Forward-backward splitting methods for accretive operators in Banach spaces
- A note on the split common fixed-point problem for quasi-nonexpansive operators
- Weak convergence theorems for a countable family of strict pseudocontractions in Banach spaces
- Split monotone variational inclusions
- Viscosity iterative techniques for approximating a common zero of monotone operators in an Hadamard space
- Convergence theorems for inertial KM-type algorithms
- Ergodic convergence to a zero of the sum of monotone operators in Hilbert space
- On the proximal point algorithm and demimetric mappings in \(\mathrm{CAT}(0)\) spaces
- Convergence of a splitting inertial proximal method for monotone operators
- Multi-step iterative algorithm for minimization and fixed point problems in \(p\)-uniformly convex metric spaces
- A viscosity-type algorithm for an infinitely countable family of \((f,g)\)-generalized \(k\)-strictly pseudononspreading mappings in \(\operatorname{CAT}(0)\) spaces
- A self adaptive inertial subgradient extragradient algorithm for variational inequality and common fixed point of multivalued mappings in Hilbert spaces
- A strong convergence algorithm for a fixed point constrained split null point problem
- Approximation of common solution of finite family of monotone inclusion and fixed point problems for demicontractive multivalued mappings in CAT(0) spaces
- General alternative regularization method for solving split equality common fixed point problem for quasi-pseudocontractive mappings in Hilbert spaces
- A strong convergence theorem for solving pseudo-monotone variational inequalities using projection methods
- A viscosity iterative algorithm for a family of monotone inclusion problems in an Hadamard space
- A unified algorithm for solving variational inequality and fixed point problems with application to the split equality problem
- Parallel hybrid algorithm for solving pseudomonotone equilibrium and split common fixed point problems
- Proximal-type algorithms for split minimization problem in P-uniformly convex metric spaces
- Nonlinear semigroups and evolution equations
- Halpern-type iterative process for solving split common fixed point and monotone variational inclusion problem between Banach spaces
- The Rate of Convergence of Nesterov's Accelerated Forward-Backward Method is Actually Faster Than $1/k^2$
- The Numerical Solution of Parabolic and Elliptic Differential Equations
- On the Numerical Solution of Heat Conduction Problems in Two and Three Space Variables
- Inertial Proximal ADMM for Linearly Constrained Separable Convex Optimization
- Splitting Algorithms for the Sum of Two Nonlinear Operators
- Applications of a Splitting Algorithm to Decomposition in Convex Programming and Variational Inequalities
- Inequalities in Banach spaces with applications
- Convergence Rates in Forward--Backward Splitting
- A unified treatment of some iterative algorithms in signal processing and image reconstruction
- Modified inertial subgradient extragradient method with self adaptive stepsize for solving monotone variational inequality and fixed point problems
- Iterative algorithm for a family of monotone inclusion problems in cat(0) spaces
- Inertial extragradient method via viscosity approximation approach for solving equilibrium problem in Hilbert space
- Convergence analysis of an iterative method for solving multiple-set split feasibility problems in certain Banach spaces
- Some methods of speeding up the convergence of iteration methods
- On the Maximality of Sums of Nonlinear Monotone Operators
- An inertial proximal method for maximal monotone operators via discretization of a nonlinear oscillator with damping
