An inertial method for a solution of split equality of monotone inclusion and the f$$ f $$‐fixed point problems in Banach spaces
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Publication:6182254
DOI10.1002/mma.8678zbMath1529.47122MaRDI QIDQ6182254
Solomon B. Zegeye, Oganeditse Aaron Boikanyo, Habtu Zegeye, Sebsibe Teferi Woldeamanuel, Unnamed Author
Publication date: 21 December 2023
Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)
strong convergencereflexive Banach spacesinertial methodBregman relatively \(f\)-nonexpansive mappingsplit equality of monotone inclusion problem
Convex programming (90C25) Iterative procedures involving nonlinear operators (47J25) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09) Numerical methods for variational inequalities and related problems (65K15) Variational and other types of inclusions (47J22)
Cites Work
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- Another look at the split common fixed point problem for demicontractive operators
- Approximation method for solving fixed point problem of Bregman strongly nonexpansive mappings in reflexive Banach spaces
- Split monotone variational inclusions
- Approximation of zeros of inverse strongly monotone operators in Banach spaces
- Convex functions, monotone operators and differentiability.
- A new approximation scheme for solving various split inverse problems
- Product formulas, nonlinear semigroups, and accretive operators
- Totally convex functions for fixed points computation and infinite dimensional optimization
- A viscosity iterative technique for split variational inclusion and fixed point problems between a Hilbert space and a Banach space
- Iterative methods with perturbations for the sum of two accretive operators in \(q\)-uniformly smooth Banach spaces
- Convergence results of forward-backward method for a zero of the sum of maximally monotone mappings in Banach spaces
- Inertial-type algorithm for solving split common fixed point problems in Banach spaces
- An explicit algorithm for solving monotone variational inequalities
- New self-adaptive step size algorithms for solving split variational inclusion problems and its applications
- An iterative method with residual vectors for solving the fixed point and the split inclusion problems in Banach spaces
- Bregman distances, totally convex functions, and a method for solving operator equations in Banach spaces
- Halpern-type iterative process for solving split common fixed point and monotone variational inclusion problem between Banach spaces
- Two Strong Convergence Theorems for a Proximal Method in Reflexive Banach Spaces
- ESSENTIAL SMOOTHNESS, ESSENTIAL STRICT CONVEXITY, AND LEGENDRE FUNCTIONS IN BANACH SPACES
- A modified extragradient method for variational inclusion and fixed point problems in Banach spaces
- A method with inertial extrapolation step for split monotone inclusion problems
- Convergence Theorems for Non-Self Mappings in CAT(0) Spaces
- Some methods of speeding up the convergence of iteration methods
- Nonlinear Differential Equations of Monotone Types in Banach Spaces