In this paper, a new system of nonlinear (set-valued) variational inclusions involving Γ°A; gΓmaximal relaxed monotone and relative Γ°A; gΓ-maximal monotone mappings in Hilbert spaces is introduced and its approximation solvability is examined. The notion of Γ°A; gΓmaximal relaxed monotonicity generali
General system of -monotone variational inclusion problems based on generalized hybrid iterative algorithm
β 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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β¦ 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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