Strong convergence theorem for split feasibility problems and variational inclusion problems in real Banach spaces
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Publication:2024430
DOI10.1007/s12215-020-00508-3OpenAlexW3081588512MaRDI QIDQ2024430
Chibueze Christian Okeke, Chinedu Izuchukwu
Publication date: 4 May 2021
Published in: Rendiconti del Circolo Matemàtico di Palermo. Serie II (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s12215-020-00508-3
maximal monotone mappingsplit feasibility problemresolvent operatorsvariational inclusion problemBergman distanceanti-resolvent operatorBergman inverse strongly monotone
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)
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Cites Work
- An iterative algorithm for solving split feasibility problems and fixed point problems in Banach spaces
- Right Bregman nonexpansive operators in Banach spaces
- Solving proximal split feasibility problems without prior knowledge of operator norms
- Split monotone variational inclusions
- Convex functions, monotone operators and differentiability.
- Strong convergence of a self-adaptive method for the split feasibility problem in Banach spaces
- Further investigation into approximation of a common solution of fixed point problems and split feasibility problems
- Generalized variational inclusions and generalized resolvent equations in Banach spaces
- Two strong convergence theorems for Bregman strongly nonexpansive operators in reflexive Banach spaces
- Strong convergence of projected subgradient methods for nonsmooth and nonstrictly convex minimization
- A multiprojection algorithm using Bregman projections in a product space
- Convergence of Bregman projection methods for solving consistent convex feasibility problems in reflexive Banach spaces
- On the existence and iterative approximation problems of solutions for set-valued variational inclusions in Banach spaces
- \(H\)-accretive operators and resolvent operator technique for solving variational inclusions in Banach spaces.
- Existence and approximation of solutions for set-valued variational inclusions in Banach space.
- A relaxed alternating CQ-algorithm for convex feasibility problems
- Bregman strongly nonexpansive operators in reflexive Banach spaces
- Block-iterative algorithms for solving convex feasibility problems in Hilbert and in Banach spaces
- Variational inclusions with a general \(H\)-monotone operator in Banach spaces
- Bregman distances, totally convex functions, and a method for solving operator equations in Banach spaces
- Acceleration method for convex optimization over the fixed point set of a nonexpansive mapping
- Iterative Algorithms for Nonlinear Operators
- Solving the split feasibility problem without prior knowledge of matrix norms
- 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
- Iterative oblique projection onto convex sets and the split feasibility problem
- ESSENTIAL SMOOTHNESS, ESSENTIAL STRICT CONVEXITY, AND LEGENDRE FUNCTIONS IN BANACH SPACES
- The Split Common Null Point Problem
- Approximating a Zero of Sum of Two Monotone Operators Which Solves a Fixed Point Problem in Reflexive Banach Spaces
- A Proximal-Projection Method for Finding Zeros of Set-Valued Operators
- Nonlinear iterative methods for solving the split common null point problem in Banach spaces
- A New Algorithm for Solving The Multiple-Sets Split Feasibility Problem in Banach Spaces
- Fixed Point Theory for Lipschitzian-type Mappings with Applications
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