Graph convergence and generalized Yosida approximation operator with an application

DOI10.1007/s40096-017-0221-5zbMath1491.47055OpenAlexW2598977400WikidataQ59605049 ScholiaQ59605049MaRDI QIDQ1704484

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

Publication date: 12 March 2018

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

Full work available at URL: https://doi.org/10.1007/s40096-017-0221-5

zbMATH Keywords

resolvent operatorsmooth Banach spacegraph convergenceYosida approximation operatorYosida inclusion

Mathematics Subject Classification ID

Variational inequalities (49J40) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09) Numerical methods for variational inequalities and related problems (65K15) Variational and other types of inclusions (47J22)

Related Items

Yosida approximation iterative methods for split monotone variational inclusion problems ⋮ Solving Yosida inclusion problem in Hadamard manifold ⋮ Remark on the Yosida approximation iterative technique for split monotone Yosida variational inclusions ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Unnamed Item ⋮ The Yosida approximation iterative technique for split monotone Yosida variational inclusions ⋮ Splitting Algorithms for Equilibrium Problems and Inclusion Problems on Hadamard Manifolds ⋮ On split equality monotone Yosida variational inclusion and fixed point problems for countable infinite families of certain nonlinear mappings in Hilbert spaces ⋮ Unnamed Item

Uses Software

• Matlab

Cites Work

• Unnamed Item
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• \(H\)-monotone operator and resolvent operator technique for variational inclusions
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• Generalized Yosida approximations based on relatively \(A\)-maximal \(m\)-relaxed monotonicity frameworks
• Yosida approximation equations technique for system of generalized set-valued variational inclusions
• General nonlinear variational inclusion problems involving A-monotone mappings
• \(H(\cdot ,\cdot )\)-accretive operator with an application for solving variational inclusions in Banach spaces
• On the Yosida approximation of operators
• Yosida approximation and nonlinear hyperbolic equation
• Inequalities in Banach spaces with applications

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