1-set-contractive perturbations of accretive operators in Menger PN-spaces
Based on the topological degree for 1-set-contractive fields established in [11], we discuss the 1-set-contractive perturbation and the existence of zero points for nonlinear equations with accretive mappings in Menger PN-spaces and obtain some new results.
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| Published in | Applied Mathematics-A Journal of Chinese Universities Vol. 27; no. 3; pp. 363 - 370 |
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| Main Authors | , |
| Format | Journal Article |
| Language | English |
| Published |
Heidelberg
SP Editorial Committee of Applied Mathematics - A Journal of Chinese Universities
01.09.2012
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| Abstract | Based on the topological degree for 1-set-contractive fields established in [11], we discuss the 1-set-contractive perturbation and the existence of zero points for nonlinear equations with accretive mappings in Menger PN-spaces and obtain some new results. |
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| AbstractList | Based on the topological degree for 1-set-contractive fields established in [11], we discuss the 1-set-contractive perturbation and the existence of zero points for nonlinear equations with accretive mappings in Menger PN-spaces and obtain some new results. |
| Author | Zhu, Chuan-xi Wu, Zhao-qi |
| Author_xml | – sequence: 1 givenname: Zhao-qi surname: Wu fullname: Wu, Zhao-qi email: wuzhaoqi_conquer@163.com organization: Department of Mathematics, Nanchang University – sequence: 2 givenname: Chuan-xi surname: Zhu fullname: Zhu, Chuan-xi organization: Department of Mathematics, Nanchang University |
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| Cites_doi | 10.1017/S0004972700038752 10.1007/BF02017893 10.1016/j.na.2009.03.014 10.1016/j.aml.2007.07.013 10.1016/j.na.2005.10.019 10.1007/BF02014348 10.1016/j.aml.2005.08.013 10.1017/S0004972700038740 10.1007/BF02451457 10.1016/j.na.2006.06.051 10.1007/s11766-010-2448-x 10.1016/j.aml.2005.02.035 10.2140/pjm.1968.24.437 |
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| Copyright | Editorial Committee of Applied Mathematics-A Journal of Chinese Universities and Springer-Verlag Berlin Heidelberg 2012 |
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| Keywords | topological degree 46S50 accretive mapping 47S50 1-set-contractive perturbation |
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| References | Egbert (CR5) 1968; 24 Zhu (CR15) 1995; 16 Zhu (CR16) 2006; 65 Wu, Zhu (CR11) 2010; 25 Xu (CR12) 2007; 67 Schweizer, Sklar (CR9) 1983 Chang, Chen (CR3) 1990; 11 Zhu (CR13) 2006; 19 Huang, Wang, Zhu (CR7) 2006; 73 Li, Xu, Duan (CR8) 2006; 19 Zhu, Huang (CR14) 2006; 73 Ha, Shin, Cho (CR6) 1994; 31 Zhu (CR18) 2009; 71 Zhu, Xu (CR17) 2008; 21 Chang, Chen (CR2) 1989; 10 Šerstnev (CR10) 1963; 149 Bocsan, Constantin (CR1) 1973; 55 Chang, Cho, Kang (CR4) 2001 K. S. Ha (2930_CR6) 1994; 31 Z. Q. Wu (2930_CR11) 2010; 25 C. X. Zhu (2930_CR17) 2008; 21 S. Y. Xu (2930_CR12) 2007; 67 C. X. Zhu (2930_CR14) 2006; 73 S. S. Chang (2930_CR3) 1990; 11 A. N. Šerstnev (2930_CR10) 1963; 149 J. R. Egbert (2930_CR5) 1968; 24 B. Schweizer (2930_CR9) 1983 C. X. Zhu (2930_CR15) 1995; 16 X. Q. Huang (2930_CR7) 2006; 73 C. X. Zhu (2930_CR18) 2009; 71 S. S. Chang (2930_CR2) 1989; 10 S. S. Chang (2930_CR4) 2001 C. X. Zhu (2930_CR13) 2006; 19 C. X. Zhu (2930_CR16) 2006; 65 G. Z. Li (2930_CR8) 2006; 19 G. Bocsan (2930_CR1) 1973; 55 |
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| Title | 1-set-contractive perturbations of accretive operators in Menger PN-spaces |
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