A strong convergence theorem for monotone inclusion and minimization problems in complete CAT(0) spaces

DOI10.1080/10556788.2018.1472259OpenAlexW2803672212MaRDI QIDQ5238066

Chibueze Christian Okeke, Chinedu Izuchukwu

Publication date: 28 October 2019

Published in: Optimization Methods and Software (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10556788.2018.1472259

zbMATH Keywords

minimization problemmonotone operatorsresolvent operatorsfixed point problemnon-expansive mappingsmonotone inclusion problem

Mathematics Subject Classification ID

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 (18)

Approximation of common solution of finite family of monotone inclusion and fixed point problems for demicontractive multivalued mappings in CAT(0) spaces ⋮ Self-adaptive forward-backward contraction-type methods for generalized split feasibility problems ⋮ A viscosity iterative algorithm for a family of monotone inclusion problems in an Hadamard space ⋮ A modified contraction method for solving certain class of split monotone variational inclusion problems with application ⋮ Convergence theorems for monotone vector field inclusions and minimization problems in Hadamard spaces ⋮ On \(\theta\)-generalized demimetric mappings and monotone operators in Hadamard spaces ⋮ Halpern-type proximal point Algorithm in \(\mathrm{CAT}(0)\) spaces ⋮ Inertial Mann-type iterative method for solving split monotone variational inclusion problem with applications ⋮ 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 ⋮ Proximal point algorithm involving fixed point of nonexpansive mapping in \(\mathrm{p} \)-uniformly convex metric space ⋮ Iterative algorithm for a family of generalized strictly pseudononspreading mappings in CAT(0) spaces ⋮ On mixed equilibrium problems in Hadamard spaces ⋮ A viscosity-type proximal point algorithm for monotone equilibrium problem and fixed point problem in an Hadamard space ⋮ An accelerated viscosity forward-backward splitting algorithm with the linesearch process for convex minimization problems ⋮ Viscosity iterative techniques for approximating a common zero of monotone operators in an Hadamard space ⋮ Modified inertial algorithm for solving mixed equilibrium problems in Hadamard spaces ⋮ Unnamed Item

Cites Work

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