Split monotone variational inclusion problem involving Cayley operators

DOI10.1515/gmj-2022-2187OpenAlexW4297999449MaRDI QIDQ2101298

Iqbal Ahmad, Mijanur Rahaman, Mohd. Ishtyak, Rais Ahmad

Publication date: 5 December 2022

Published in: Georgian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/gmj-2022-2187

zbMATH Keywords

convergencenon-expansive mappingdemicontractive mappingsplit monotone variational inclusionCayley operator

Mathematics Subject Classification ID

Monotone operators and generalizations (47H05) Iterative procedures involving nonlinear operators (47J25) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09)

Uses Software

• Matlab

Cites Work

• Iterative methods for fixed point problems in Hilbert spaces
• Strong convergence theorems for maximal monotone operators with nonlinear mappings in Hilbert spaces
• Split monotone variational inclusions
• Strong convergence of projected subgradient methods for nonsmooth and nonstrictly convex minimization
• A multiprojection algorithm using Bregman projections in a product space
• An iterative approach to quadratic optimization
• Set-valued variational inclusions in Banach spaces
• The Yosida approximation iterative technique for split monotone Yosida variational inclusions
• A general iterative method for nonexpansive mappings in Hilbert spaces
• Iterative approximation to convex feasibility problems in Banach space
• Extensions of Korpelevich's extragradient method for the variational inequality problem in Euclidean space
• On the Numerical Solution of Heat Conduction Problems in Two and Three Space Variables
• The multiple-sets split feasibility problem and its applications for inverse problems
• Iterative oblique projection onto convex sets and the split feasibility problem
• The Split Common Null Point Problem
• Weak convergence of the sequence of successive approximations for nonexpansive mappings

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