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On sum of monotone operator of type (FPV) and a maximal monotone operator
Journal: NEW TRENDS IN MATHEMATICAL SCIENCES (Vol.4, No. 4)Publication Date: 2016-09-01
Authors : Dillip Pradhan;
Page : 188-197
Keywords : Sum problem Fitzpatrick function maximal monotone operator monotone operator of type (FPV).;
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Abstract
In the setting of a general real Banach space, we prove that the sum of a monotone operator A of type (FPV) and a maximal monotone operator B is maximal with textnormal{dom} Acaptextnormal{int dom} Bneqphi and either textnormal{dom}B is open or for any xin textnormal{dom}Acaptextnormal{int dom}B,|x^|leq |B(x)|, x^*in A(x).
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Last modified: 2017-01-26 01:08:09