Proximal-type algorithms for split minimization problem in P-uniformly convex metric spaces
From MaRDI portal
Publication:2334809
DOI10.1007/s11075-018-0633-9OpenAlexW2901874551MaRDI QIDQ2334809
Chinedu Izuchukwu, Oluwatosin Temitope Mewomo, Mujahid Abbas, Abdul Rahim Khan, Godwin Chidi Ugwunnadi
Publication date: 8 November 2019
Published in: Numerical Algorithms (Search for Journal in Brave)
Full work available at URL: http://hdl.handle.net/2263/68084
resolventconvex functionsproximal point algorithm\(p\)-uniformly convex spacessplit minimization problem
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
A new efficient algorithm for finding common fixed points of multivalued demicontractive mappings and solutions of split generalized equilibrium problems in Hilbert spaces ⋮ A new approximation scheme for solving various split inverse problems ⋮ Convergence of proximal splitting algorithms in \(\operatorname{CAT}(\kappa)\) spaces and beyond ⋮ An inertial method for solving generalized split feasibility problems over the solution set of monotone variational inclusions ⋮ A parallel combination extragradient method with Armijo line searching for finding common solutions of finite families of equilibrium and fixed point problems ⋮ Viscosity approximation method for solving the multiple-set split equality common fixed-point problems for quasi-pseudocontractive mappings in Hilbert spaces ⋮ Approximation of common solution of finite family of monotone inclusion and fixed point problems for demicontractive multivalued mappings in CAT(0) spaces ⋮ A new inertial-projection algorithm for approximating common solution of variational inequality and fixed point problems of multivalued mappings ⋮ A modified extragradient algorithm for a certain class of split pseudo-monotone variational inequality problem ⋮ Self-adaptive forward-backward contraction-type methods for generalized split feasibility problems ⋮ On \(\theta\)-generalized demimetric mappings and monotone operators in Hadamard spaces ⋮ Iterative algorithms for a finite family of equilibrium problems and fixed point problem in an Hadamard space ⋮ Some results on generalized mean nonexpansive mapping in complete metric spaces ⋮ A multi step inertial algorithm for approximating a common solution of split generalized mixed equilibrium and minimization problems ⋮ Two modifications of the inertial Tseng extragradient method with self-adaptive step size for solving monotone variational inequality problems ⋮ Inertial approximation method for split variational inclusion problem in Banach spaces ⋮ On some fixed point results for $(alpha, beta)$-Berinde-$varphi$-Contraction mapppings with applications ⋮ A common solution of split equality monotone inclusion problem and split equality fixed point problem in real Banach spaces ⋮ Inertial-type algorithm for solving split common fixed point problems in Banach spaces ⋮ Unnamed Item ⋮ Inertial extragradient method via viscosity approximation approach for solving equilibrium problem in Hilbert space ⋮ Multi-step iterative algorithm for minimization and fixed point problems in \(p\)-uniformly convex metric spaces ⋮ Strong convergence theorems for finite families of pseudomonotone equilibrium and fixed point problems in Banach spaces ⋮ A viscosity-type algorithm for an infinitely countable family of \((f,g)\)-generalized \(k\)-strictly pseudononspreading mappings in \(\operatorname{CAT}(0)\) spaces ⋮ Unnamed Item ⋮ A self adaptive inertial subgradient extragradient algorithm for variational inequality and common fixed point of multivalued mappings in Hilbert spaces ⋮ Convergence analysis of an inertial accelerated iterative algorithm for solving split variational inequality problem ⋮ Iterative algorithm for a family of generalized strictly pseudononspreading mappings in CAT(0) spaces ⋮ A strong convergence algorithm for a fixed point constrained split null point problem ⋮ An iterative algorithm for solving variational inequality, generalized mixed equilibrium, convex minimization and zeros problems for a class of nonexpansive-type mappings ⋮ On mixed equilibrium problems in Hadamard spaces ⋮ Unnamed Item ⋮ A viscosity-proximal gradient method with inertial extrapolation for solving certain minimization problems in Hilbert space ⋮ Parallel hybrid algorithm for solving pseudomonotone equilibrium and split common fixed point problems ⋮ On split equality for finite family of generalized mixed equilibrum problem and fixed point problem in real Banach spaces ⋮ A viscosity-type proximal point algorithm for monotone equilibrium problem and fixed point problem in an Hadamard space ⋮ Modified inertial subgradient extragradient method with self adaptive stepsize for solving monotone variational inequality and fixed point problems ⋮ \( \alpha \)-firmly nonexpansive operators on metric spaces ⋮ A self adaptive inertial algorithm for solving split variational inclusion and fixed point problems with applications ⋮ Viscosity iterative techniques for approximating a common zero of monotone operators in an Hadamard space ⋮ Modified proximal point methods involving quasi-pseudocontractive mappings in Hadamard spaces ⋮ Modified inertial algorithm for solving mixed equilibrium problems in Hadamard spaces ⋮ The implicit midpoint rule for nonexpansive mappings in 2-uniformly convex hyperbolic spaces ⋮ Unnamed Item ⋮ On split equality monotone Yosida variational inclusion and fixed point problems for countable infinite families of certain nonlinear mappings in Hilbert spaces ⋮ Strong convergence theorem for family of minimization and monotone inclusion problems in Hadamard spaces ⋮ A convergence theorem for approximating minimization and fixed point problems for non-self mappings in Hadamard spaces
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Further investigation into split common fixed point problem for demicontractive operators
- An iterative method for solving minimization, variational inequality and fixed point problems in reflexive Banach spaces
- A hybrid proximal point algorithm for finding minimizers and fixed points in CAT(0) spaces
- Further investigation into approximation of a common solution of fixed point problems and split feasibility problems
- The asymptotic behavior of the composition of firmly nonexpansive mappings
- Uniform convexity and smoothness, and their applications in Finsler geometry
- Projection and proximal point methods: Convergence results and counterexamples.
- Regularity of harmonic functions in Cheeger-type Sobolev spaces
- A unified algorithm for solving split generalized mixed equilibrium problem, and for finding fixed point of nonspreading mapping in Hilbert spaces
- Approximating solutions of maximal monotone operators in Hilbert spaces
- The proximal point algorithm in metric spaces
- Resolvent flows for convex functionals and \(p\)-harmonic maps
- Strong convergence theorem for monotone inclusion problem in CAT(0) spaces
- Backward-backward splitting in Hadamard spaces
- Iterative solution of split variational inclusion problem in a real Banach spaces
- Fixed points of single- and set-valued mappings in uniformly convex metric spaces with no metric convexity
- On \(\Delta\)-convergence theorems in CAT\((0)\) spaces
- Quasilinearization and curvature of Aleksandrov spaces
- Jensen's inequality on convex spaces
- Convexities of metric spaces
- Proximal Splitting Methods in Signal Processing
- Computing Medians and Means in Hadamard Spaces
- Poincaré inequalities, embeddings, and wild groups
- Iterative Algorithms for Nonlinear Operators
- Proximal Alternating Minimization and Projection Methods for Nonconvex Problems: An Approach Based on the Kurdyka-Łojasiewicz Inequality
- A convexity in metric space and nonexpansive mappings. I.
- Alternating proximal algorithms with asymptotically vanishing coupling. Application to domain decomposition for PDE's
- A New Class of Alternating Proximal Minimization Algorithms with Costs-to-Move
- Monotone vector fields and the proximal point algorithm on Hadamard manifolds
- On the Convergence of the Proximal Point Algorithm for Convex Minimization
- Remarks on Some Fixed Point Theorems
- Monotone Operators and the Proximal Point Algorithm
- Proximal Point Algorithm On Riemannian Manifolds
- A new proximal point iteration that converges weakly but not in norm
- An iterative method for solution of finite families of split minimization problems and fixed point problems
- Convergence analysis of an iterative method for solving multiple-set split feasibility problems in certain Banach spaces
- THE PROXIMAL POINT ALGORITHM IN UNIFORMLY CONVEX METRIC SPACES
