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General system of -monotone variational inclusion problems based on generalized hybrid iterative algorithm

✍ Scribed by Rm U. Verma


Publisher
Elsevier
Year
2007
Tongue
English
Weight
230 KB
Volume
1
Category
Article
ISSN
1751-570X

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✦ Synopsis


First a new system of nonlinear set-valued variational inclusions involving (A, Ξ·)-monotone mappings in Hilbert spaces is introduced and then its solvability is explored. Based on the general resolvent operator method associated with (A, Ξ·)-monotone mappings, approximation solvability of this system of nonlinear set-valued variational inclusions is established. The convergence analysis is discussed in detail. The obtained results generalize a number of results on nonlinear variational inclusion systems.


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