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On perturbations of M-accretive operators in Banach spaces
Author(s):
Norimichi
Hirano;
A.
K.
Kalinde
Journal:
Proc. Amer. Math. Soc.
124
(1996),
1183-1190.
MSC (1991):
Primary 47H17;
Secondary 47H05, 47B07, 47H10
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Abstract:
In this paper, we consider the solvability of nonlinear equations of the form 
where  is an m-accretive operator on a Banach space  ,  is a mapping on  and  .
References:
- 1.
- V. Barbu Nonlinear semigroups and differential equations in Banach spaces, Noordhoff, Leyden, The Netherlands, 1976. MR 52:11666
- 2.
- Z. Guan and A. G. Kartsatos, Ranges of perturbed maximal monotone and m-accretive operators in Banach spaces, Trans. Amer. Math. Soc. 347 (1995), 2403--2435. MR 95i:47096
- 3.
- N. Hirano, Some surjectivity theorem for compact perturbations of accretive operators, Nonlinear Anal. TMA 8 (1984), 765--774. MR 86a:47054
- 4.
- A. G. Kartsatos, Mapping theorems involving ranges of sums of nonlinear operator, Nonlinear Anal. TMA 6 (1982), 271--278 MR 83k:47036
- 5.
- ------, Recent results involving compact perturbations and compact resolvents of accretive operators in Banach spaces, Proceedings of the First World Congress of Nonlinear Analysts (Tampa, Florida, 1992), Walter De Gruyter (to appear).
- 6.
- ------, On compact perturbations and compact resolvents of nonlinear m-accretive operators in Banach spaces, Proc. Amer. Math. Soc. 119 (1993), 1189--1199. MR 94c:47076
- 7.
- E. Lloyd, Degree theory, Cambridge Univ. Press, New York, 1978. MR 58:12558
- 8.
- C. Morales, Remarks on compact perturbations of m-accretive operators, Nonlinear Anal. 16 (1991), 771--780. MR 92e:47118
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Additional Information:
Norimichi
Hirano
Affiliation:
Department of Mathematics, Faculty of Engineering, Yokohama National Univesity, Tokiwadai, Hodogayaku, Yokohama, Japan
Email:
hirano@math.sci.ynu.ac.jp
A.
K.
Kalinde
Affiliation:
Faculty of Sciences, University of Fort Hare, P/Bag X1314 Alice 5700, Republic of Ciskei, South Africa
DOI:
10.1090/S0002-9939-96-03140-1
PII:
S 0002-9939(96)03140-1
Keywords:
Perturbations of m-accretive operators,
compact resolvent,
condensing mapping
Received by editor(s):
May 17, 1994
Received by editor(s) in revised form:
October 10, 1994
Communicated by:
Palle E. T. Jorgensen
Copyright of article:
Copyright
1996,
American Mathematical Society
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