The Yosida approximation iterative technique for split monotone Yosida variational inclusions
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In this article, we introduce a new type of split monotone Yosida inclusion problem in the setting of infinite-dimensional Hilbert spaces. To calculate the approximate solutions of split monotone Yosida inclusion problem, first we develop a new iterative algorithm and then study the weak as well strong convergence analysis of iterative sequences generated by the proposed iterative algorithm by using demicontractive property, nonexpansive property, and strongly positive bounded linear property of mappings. A numerical example is formulated to explain our main result through MATLAB programming.
KeywordsSplit monotone Yosida variational inclusions Yosida operator Convergence Demicontractive mapping Nonexpansive mappings
Mathematics Subject Classification (2010)47H05 47H09 47J25
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