A new method for solving split variational inequality problems without co-coerciveness

DOI10.1007/s11784-020-00834-0zbMath1484.47156OpenAlexW3095313950MaRDI QIDQ2659588

Chinedu Izuchukwu, Oluwatosin Temitope Mewomo, Akindele A. Mebawondu

Publication date: 26 March 2021

Published in: Journal of Fixed Point Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11784-020-00834-0

zbMATH Keywords

strong convergencemonotone operatorLipschitz continuousco-coercivesplit variational inequality problems

Mathematics Subject Classification ID

Variational inequalities (49J40) Iterative procedures involving nonlinear operators (47J25) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09)

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Cites Work

• Unnamed Item
• Unnamed Item
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• Unnamed Item
• Split nonconvex variational inequality problem
• Split general quasi-variational inequality problem
• Weak convergence theorem for a class of split variational inequality problems and applications in a Hilbert space
• Approximation of zeros of inverse strongly monotone operators in Banach spaces
• Algorithms for the split variational inequality problem
• Iterative method with inertial for variational inequalities in Hilbert spaces
• A multiprojection algorithm using Bregman projections in a product space
• A viscosity iterative technique for split variational inclusion and fixed point problems between a Hilbert space and a Banach space
• A self adaptive inertial subgradient extragradient algorithm for variational inequality and common fixed point of multivalued mappings in Hilbert spaces
• Convergence analysis of an inertial accelerated iterative algorithm for solving split variational inequality problem
• A strongly convergent modified Halpern subgradient extragradient method for solving the split variational inequality problem
• An efficient projection-type method for monotone variational inequalities in Hilbert spaces
• Weak and strong convergence theorems for solving pseudo-monotone variational inequalities with non-Lipschitz mappings
• A strong convergence theorem for a parallel iterative method for solving the split common null point problem in Hilbert spaces
• A unified algorithm for solving variational inequality and fixed point problems with application to the split equality problem
• New self-adaptive step size algorithms for solving split variational inclusion problems and its applications
• A new algorithm for solving the split common null point problem in Hilbert spaces
• Parallel hybrid algorithm for solving pseudomonotone equilibrium and split common fixed point problems
• Strong convergence of a forward-backward splitting method with a new step size for solving monotone inclusions
• Modified hybrid projection methods for finding common solutions to variational inequality problems
• Geometric properties of Banach spaces and nonlinear iterations
• A new double projection algorithm for variational inequalities
• Outer approximation methods for solving variational inequalities in Hilbert space
• Matrix p-Norms Are NP-Hard to Approximate If $p\neq1,2,\infty$
• The multiple-sets split feasibility problem and its applications for inverse problems
• A unified treatment of some iterative algorithms in signal processing and image reconstruction
• Iterative oblique projection onto convex sets and the split feasibility problem
• Viscosity Approximation Methods for a Class of Generalized Split Feasibility Problems with Variational Inequalities in Hilbert Space
• Modified subgradient extragradient algorithms for variational inequality problems and fixed point problems
• The Split Common Null Point Problem
• Modified inertial subgradient extragradient method with self adaptive stepsize for solving monotone variational inequality and fixed point problems
• Inertial extragradient method via viscosity approximation approach for solving equilibrium problem in Hilbert space
• GENERAL NONCONVEX SPLIT VARIATIONAL INEQUALITY PROBLEMS
• New algorithms for the split variational inclusion problems and application to split feasibility problems
• Convex analysis and monotone operator theory in Hilbert spaces

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