Yosida Approximation Iterative Methods for Split Monotone Variational Inclusion Problems
Copyright policy )Yosida Approximation Iterative Methods for Split Monotone Variational Inclusion Problems
In this paper, we present two iterative algorithms involving Yosida approximation operators for split monotone variational inclusion problems ( S p MVIP ). We prove the weak and strong convergence of the proposed iterative algorithms to the solution of S p MVIP in real Hilbert spaces. Our algorithms are based on Yosida approximation operators of monotone mappings such that the step size does not require the precalculation of the operator norm. To show the reliability and accuracy of the proposed algorithms, a numerical example is also constructed.
- University of Tabuk Saudi Arabia
- Islamic University of Madinah Saudi Arabia
- Al-Neelain University Sudan
Multi-material Optimization, Economics, FOS: Political science, Norm (philosophy), Geometry, FOS: Law, Operator (biology), Biochemistry, Gene, Engineering, QA1-939, FOS: Mathematics, Nonexpansive Mappings, Iterative Algorithms, Political science, Economic growth, Civil and Structural Engineering, Numerical Analysis, Numerical Optimization Techniques, Semidefinite Programming, Operator theory, Topology Optimization in Structural Engineering, Hilbert space, Pure mathematics, Iterative Algorithms for Nonlinear Operators and Optimization, Discrete mathematics, Applied mathematics, Iterative method, Algorithm, Chemistry, Computational Theory and Mathematics, Computer Science, Physical Sciences, Convergence (economics), Repressor, Monotone polygon, Transcription factor, Law, Mathematics, Mixed-Integer Nonlinear Programs
Multi-material Optimization, Economics, FOS: Political science, Norm (philosophy), Geometry, FOS: Law, Operator (biology), Biochemistry, Gene, Engineering, QA1-939, FOS: Mathematics, Nonexpansive Mappings, Iterative Algorithms, Political science, Economic growth, Civil and Structural Engineering, Numerical Analysis, Numerical Optimization Techniques, Semidefinite Programming, Operator theory, Topology Optimization in Structural Engineering, Hilbert space, Pure mathematics, Iterative Algorithms for Nonlinear Operators and Optimization, Discrete mathematics, Applied mathematics, Iterative method, Algorithm, Chemistry, Computational Theory and Mathematics, Computer Science, Physical Sciences, Convergence (economics), Repressor, Monotone polygon, Transcription factor, Law, Mathematics, Mixed-Integer Nonlinear Programs
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