| Z-P-S空间中非线性算子方程解的存在性定理 |
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| 引用本文： | 唐超,程丽英,陈春芳.Z-P-S空间中非线性算子方程解的存在性定理[J].南昌大学学报(理科版),2012,36(2):110-113. |
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| 作者姓名： | 唐超 程丽英 陈春芳 |
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| 作者单位： | 江西电力职业技术学院公共教育系； 江西科技师范大学理工学院； 南昌大学数学系 |
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| 基金项目： | 江西省自然科学基金资助项目 |
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| 摘 要： | 自提出Z-P-S空间这一概念以来,主要探讨了不动点和算子方程解两方面的理论,建立了许多新的定理。文首先证明了两个重要不等式,其次利用概率度量空间中A-proper映射拓扑度的基本性质,在投影完备的Z-P-S空间中研究了非线性算子方程解的存在性问题,得到了一些新的结果。
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| 关 键 词： | Z-P-S空间 A-proper映射 拓扑度 非线性算子方程 |
Some new fixed point theorems in Z-P-S space |
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| TANG Chao
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CHENG Li-ying
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CHEN Chun-fang.Some new fixed point theorems in Z-P-S space[J].Journal of Nanchang University(Natural Science),2012,36(2):110-113. |
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| Authors: | TANG Chao CHENG Li-ying CHEN Chun-fang |
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| Institution: | 1.Department of Public Education,Jiangxi Vocational & Technical College of Electricity,Nanchang 330032,China; 2.Polytechnic Institute,Jiangxi Science & Technology Normal University,Nanchang 330038,China; 3.Department of Mathematics,Nanchang University,Nanchang 330031,China) |
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| Abstract: | The fixed point and solutions of operator equations were mainly studied,and many new theorems were obtained since the notations of Z-P-S space were raised.It proved two important inequalities and obtained some new results through utilizing the properties of the topological degree for the A-proper mapping in the Probabilistic Metric Spaces.The paper also studies the fixed point of nonlinear operator in the projection complete Z-P-S space. |
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| Keywords: | Z-P-S space A-proper mapping topological degree convex set |
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