A-Monotonicity and Its Role in Nonlinear Variational Inclusions

R. U. Verma
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R. U. Verma: University of Akron

Journal of Optimization Theory and Applications, 2006, vol. 129, issue 3, No 7, 457-467

Abstract: Abstract The notion of A-monotonicity in the context of solving a new class of nonlinear variational inclusion problems is presented. Since A-monotonicity generalizes not only the well-explored maximal monotone mapping, but also a recently introduced and studied notion of H-monotone mapping, the results thus obtained are general in nature.

Keywords: Nonlinear variational inclusions; maximal monotone mappings; A-monotone mappings; H-monotone mappings; generalized resolvent operators (search for similar items in EconPapers)
Date: 2006
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Citations: View citations in EconPapers (3)

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DOI: 10.1007/s10957-006-9079-7

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