Abstract
The iterative solution for a class of multivalued monotone operator equations just likeA(u)∈−B(u) is discussed, whereA is a positive definite linear single-valued operator,B is a bounded and monotone multivalued operator. The existence and convergence of approximate solutions are proved. The method of numerical realization is demonstrated in some examples.
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Foundation item: Supported by the National Natural Science foundation of China
Biography: XIAO Jin-sheng (1975-), male, Ph.D. Candidate. Current research interest is in the approximate solution of differential equation.
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Jin-sheng, X., Jin-gan, L. The iterative solution for a class of monotone operator equations. Wuhan Univ. J. Nat. Sci. 4, 143–145 (1999). https://doi.org/10.1007/BF02841484
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DOI: https://doi.org/10.1007/BF02841484