| Menger PN-空间中两类混合单调算子新的公共不动点定理 |
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| 引用本文： | 揭成斌,朱传喜.Menger PN-空间中两类混合单调算子新的公共不动点定理[J].应用泛函分析学报,2011,13(1):100-107. |
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| 作者姓名： | 揭成斌 朱传喜 |
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| 作者单位： | 南昌大学数学系,南昌,330031 |
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| 基金项目： | 国家自然科学基金，江西省自然科学基金 |
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| 摘 要： | 在Menger PN-空间,引入(Co)类压缩型算子半群的有关概念.研究了两类混合单调算子新的公共不动点的存在与唯一性,不要求算子具有任何紧性、凹凸性和连续性,从而获得一些新的结论,改进和推广Banach空间中的有关研究结论.
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| 关 键 词： | 锥 算子半群 混合单调算子 |
New Common Fixed Point Theorems of Two Classes Mixed Monotone Operators in Menger PN-space |
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| JIE Chengbin,ZHU Chuanxi.New Common Fixed Point Theorems of Two Classes Mixed Monotone Operators in Menger PN-space[J].Acta Analysis Functionalis Applicata,2011,13(1):100-107. |
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| Authors: | JIE Chengbin ZHU Chuanxi |
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| Institution: | JIE Chengbin,ZHU Chuanxi Department of Mathematics,Nanchang University,Nanchang 330031,China |
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| Abstract: | In this paper, some related concepts of C0-semigroups of contractive types are introduced in Menger PN-spaces. We investigate the existence and uniqueness of common fixed points of two classes mixed monotone operators, and these operators are not need of compactness, convex-concave and continuity. As a result, some new common fixed point theorems of mixed monotone operators are obtained in Menger PN-spaces. Our results generalize and extend many authors＇ recent related results in Banach space. |
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| Keywords: | cone C_0-semigroups mixed monotone operators |
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