Proximal point algorithm involving fixed point of nonexpansive mapping in \(\mathrm{p} \)-uniformly convex metric space
From MaRDI portal
Publication:2009504
DOI10.1515/apam-2018-0026OpenAlexW2903174697MaRDI QIDQ2009504
Chinedu Izuchukwu, Oluwatosin Temitope Mewomo, Godwin Chidi Ugwunnadi
Publication date: 28 November 2019
Published in: Advances in Pure and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1515/apam-2018-0026
fixed pointproximal point algorithm\( \Delta \)-convergence\(p\)-uniformly convex spaces\(p\)-resolvent
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 parallel combination extragradient method with Armijo line searching for finding common solutions of finite families of equilibrium and fixed point problems ⋮ Approximation of common solution of finite family of monotone inclusion and fixed point problems for demicontractive multivalued mappings in CAT(0) spaces ⋮ 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 viscosity-type proximal point algorithm for monotone equilibrium problem and fixed point problem in an Hadamard space ⋮ Strong convergence theorem for family of minimization and monotone inclusion problems in Hadamard spaces
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Proximal point algorithms involving fixed points of nonexpansive mappings in \(\mathrm{CAT}(0)\) spaces
- The modified proximal point algorithm in CAT(0) spaces
- 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
- Further investigation into approximation of a common solution of fixed point problems and split feasibility problems
- Some convergence theorems involving proximal point and common fixed points for asymptotically nonexpansive mappings in \(\operatorname {CAT}(0)\) spaces
- The asymptotic behavior of the composition of firmly nonexpansive mappings
- A concept of convergence in geodesic spaces
- Strong convergence of contraction semigroups and of iterative methods for accretive operators in Banach spaces
- Sharp uniform convexity and smoothness inequalities for trace norms
- A unified algorithm for solving split generalized mixed equilibrium problem, and for finding fixed point of nonspreading mapping in Hilbert spaces
- Convex functionals and generalized harmonic maps into spaces of non positive curvature
- The proximal point algorithm in metric spaces
- Strong convergence theorem for monotone inclusion problem in CAT(0) spaces
- The asymptotic behavior of a class of nonlinear semigroups 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
- Jensen's inequality on convex spaces
- Fixed points of uniformly Lipschitzian mappings
- Convexities of metric spaces
- Computing Medians and Means in Hadamard Spaces
- Poincaré inequalities, embeddings, and wild groups
- Firmly nonexpansive mappings in classes of geodesic spaces
- A convexity in metric space and nonexpansive mappings. I.
- Remarks on Some Fixed Point Theorems
- Monotone Operators and the Proximal Point Algorithm
- A strong convergence theorem for monotone inclusion and minimization problems in complete CAT(0) spaces
- On solving the minimization problem and the fixed-point problem for nonexpansive mappings in CAT(0) spaces
- Gradient flows and a Trotter-Kato formula of semi-convex functions on CAT(1)-spaces
- THE PROXIMAL POINT ALGORITHM IN UNIFORMLY CONVEX METRIC SPACES