scientific article; zbMATH DE number 7056072

zbMath1475.47058MaRDI QIDQ5742232

Akindele A. Mebawondu, Chinedu Izuchukwu, Kazeem Olalekan Aremu, Oluwatosin Temitope Mewomo

Publication date: 17 May 2019

Full work available at URL: https://polipapers.upv.es/index.php/AGT/article/view/10635

Title: zbMATH Open Web Interface contents unavailable due to conflicting licenses.

zbMATH Keywords

minimization problemsstrong convergencevariational inequalitiesCAT(0) spaceHadamard spaceequilibrium problemsproximal point algorithmmonotone bifunctionsconvex feasibility problemsviscosity iterations

Mathematics Subject Classification ID

Iterative procedures involving nonlinear operators (47J25) Fixed-point and coincidence theorems (topological aspects) (54H25) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09)

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Cites Work

• Unnamed Item
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• Some algorithms for equilibrium problems on Hadamard manifolds
• Equilibrium problems in Hadamard manifolds
• A quadratic rate of asymptotic regularity for CAT(0)-spaces
• A variational inequality in complete CAT(0) spaces
• A concept of convergence in geodesic spaces
• On certain conditions for the existence of solutions of equilibrium problems
• Halpern's iteration in CAT(0) spaces
• Convergence comparison of several iteration algorithms for the common fixed point problems
• On the proximal point algorithm and demimetric mappings in \(\mathrm{CAT}(0)\) spaces
• The proximal point algorithm in metric spaces
• Strong convergence theorem for monotone inclusion problem in CAT(0) spaces
• Proximal-type algorithms for split minimization problem in P-uniformly convex metric spaces
• The asymptotic behavior of a class of nonlinear semigroups in Hadamard spaces
• On \(\Delta\)-convergence theorems in CAT\((0)\) spaces
• Quasilinearization and curvature of Aleksandrov spaces
• A note on fixed point sets in CAT(0) spaces
• Fixed points of uniformly Lipschitzian mappings
• Generalized monotone bifunctions and equilibrium problems
• Strong convergence theorems for infinite families of nonexpansive mappings in general Banach spaces
• Viscosity approximation methods for nonexpansive mappings in CAT(0) spaces
• Iterative Algorithms for Nonlinear Operators
• Nonexpansive iterations in hyperbolic spaces
• Remarks on Some Fixed Point Theorems
• Monotone Operators and the Proximal Point Algorithm
• MONOTONE OPERATORS AND THE PROXIMAL POINT ALGORITHM IN COMPLETE CAT(0) METRIC SPACES
• Weak topologies in complete $CAT(0)$ metric spaces
• Iterative approximation of solution of split variational inclusion problem
• Equilibrium Problems and Proximal Algorithms in Hadamard Spaces
• 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