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《Acta Analysis Functionalis Applicata》 2009-01
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On Nonlinear Operator in M-PN Space

YE Mei-yan, ZHU Chuan-xi, ZHANG Xiao-zhi Department of Mathematics, Nanchang University, Nanchang 330031, China  
Some problems of nonlinear operator T are investigated in Menger PN space, utilizing Laray-Schauder topological degree theorem. A series of sufficient conditions for which the compact continuous operator T has an intrinsic value λ and has an intrinsic element corresponding with λ on W are established. Meanwhile, some important conclusions are improved and generalized.
【Fund】: 国家自然科学基金(10461007);; 江西省自然科学基金(0411043)
【CateGory Index】: O177.3
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1 Zhu Chuanxi (Department of Mathematics, Nanchang University, Nanchang 330047) Zhu Tian (Department of Computer, Nanchang University, Nanchang 330047);SOME PROBLEMS OF PROBABILISTIC ANALYSIS IN THE Z-P-S SPACE[J];Journal of Systems Science and Mathematical Sciences;2006-01
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