| 非线性映象不动点的存在性和逼近方法 |
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| 引用本文： | 杨荣先.非线性映象不动点的存在性和逼近方法[J].四川师范大学学报(自然科学版),1991(3). |
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| 作者姓名： | 杨荣先 |
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| 作者单位： | 内江师范专科学校 内江市，641000四川师范大学进修学者 |
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| 摘 要： | 本文在凸度量空间中证明了可交换映象 F、G 的公共不动点的存在定理,推广了 Khan 的结果,还讨论了区间a,b]上 Lipschitz 映象不动点的逼近方法,得到了三个结果,推广 Hillam 的结果.
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| 关 键 词： | 凸度量空间 可交换映象 公共不动点 Lipschitz映象 |
EXISTENCE AND APPROXIMATE METHODS OF FIXED POINTS FOR NONLINEAR MAPPINGS |
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| Yang Rongxian Neijiang Teacher's College,Neijiang ,Sichuan.EXISTENCE AND APPROXIMATE METHODS OF FIXED POINTS FOR NONLINEAR MAPPINGS[J].Journal of Sichuan Normal University(Natural Science),1991(3). |
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| Authors: | Yang Rongxian Neijiang Teacher's College Neijiang Sichuan |
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| Institution: | Yang Rongxian Neijiang Teacher's College,Neijiang 641000,Sichuan |
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| Abstract: | In this paper,two existence theorems of common fixed points for commuting nonexpansive type mappongs,which gener- alize the result of Khan,are proved in convex metric spaces.The iterative methods of appproximating fixed points of Lips- chitzion self-mapping defined in the closed intervala,b]are also discussed.Three theorems obtained by author generalize the corresponding result of Hillam. |
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| Keywords: | convex metric space commuting mapping common fixed point Lipschitzion mapping |
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