| 伪距离空间中一些广义压缩型映象的不动点 |
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| 引用本文： | 宋益兰.伪距离空间中一些广义压缩型映象的不动点[J].西北师范大学学报,1989(3). |
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| 作者姓名： | 宋益兰 |
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| 摘 要： | 本文在完备的伪距离空间中,讨论了具两种广义压缩型条件的可换双映象对的公共严格周期点和不动点的问题,得到两个主要定理.在此基础上,还讨论了三种类型的映象列的严格周期点和不动点问题,相应地得到六个推论.
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| 关 键 词： | 伪距离空间 广义压缩映象 可换双映象对 映象列 严格周期点 不动点 |
Fixed Point of Some Generalized Contractive Mappings in the Complete Pseudo-Metric Space |
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| Song Yilan.Fixed Point of Some Generalized Contractive Mappings in the Complete Pseudo-Metric Space[J].Journal of Northwest Normal University Natural Science (Bimonthly),1989(3). |
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| Authors: | Song Yilan |
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| Abstract: | This paper deals with the common strict periodic point and fixed point of the two commuting mapping pairs which satisfy the two types of generalized contractive Conditions in the complete pseudo-metric space.The two fundamental theorems are obtained.On the basis of the two theorems,the subject of the strict periodic point and fixed point of three types of sequences of mappings is also discussed.Six consequent corollaries are obtained. |
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| Keywords: | Pseudo-metric space generalized contractive mapping two commuting mapping pairs sequence of mappings strict periodic point fixed point |
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