GENERAL NONCONVEX SPLIT VARIATIONAL INEQUALITY PROBLEMS

DOI10.11568/kjm.2017.25.4.469zbMath1467.47033OpenAlexW2777926324MaRDI QIDQ5208552

Won Hee Lim, Salahuddin, Jong Kyu Kim

Publication date: 8 January 2020

Full work available at URL: http://journal.kkms.org/index.php/kjm/article/view/542

zbMATH Keywords

convergenceHilbert spacesadjoint operatoriterative sequencesuniform prox-regularity

Mathematics Subject Classification ID

Convex programming (90C25) Numerical optimization and variational techniques (65K10) Set-valued and variational analysis (49J53) Iterative procedures involving nonlinear operators (47J25) Numerical methods based on nonlinear programming (49M37)

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A new subgradient extragradient method for solving the split modified system of variational inequality problems and fixed point problem ⋮ Relaxed inertial methods for solving split variational inequality problems without product space formulation ⋮ A new method for solving split variational inequality problems without co-coerciveness ⋮ A self-adaptive inertial extragradient method for a class of split pseudomonotone variational inequality problems ⋮ Mann-type inertial projection and contraction method for solving split pseudomonotone variational inequality problem with multiple output sets ⋮ Iterative scheme for split variational inclusion and a fixed-point problem of a finite collection of nonexpansive mappings ⋮ Inertial methods for finding minimum-norm solutions of the split variational inequality problem beyond monotonicity ⋮ Convergence theorem for solving a new concept of the split variational inequality problems and application ⋮ An inertial extrapolation method for solving generalized split feasibility problems in real Hilbert spaces ⋮ Two Projection Methods for Solving the Split Common Fixed Point Problem with Multiple Output Sets in Hilbert Spaces

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