度量凸空间上具有唯一不动点的非自映射
Non-self mapping having an unique fixed point on metrically convex metric spaces
摘要
得到了在度量凸空间上一个非自映射具有唯一不动点的定理,并给出了其一般形式.
In this paper, we obtained a theorem which has an unique fixed point for non-self mapping on (convex) metric space and gives its general form.
出处
《延边大学学报（自然科学版）》
CAS
2005年第1期15-17,52,共4页
Journal of Yanbian University（Natural Science Edition）
关键词
度量凸空间
不动点
完备
Metrically convex metric spaces
Fixed point
Complete
参考文献7
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1[1]Assad N A. On fixed point theorem of kannan in Banach spaces[J]. TamKang J Math, 1976,7:91-94.
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2[2]Chatterjea S K. Fixed point theorems[J]. C R ACad Bulgare Sci, 1972,25:727-730.
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3[3]Khan M S, Pathak H K, Khan M D. Some fixed point theorems in metrically convex spaces[J]. Georgian J Math, 2000,7:523-530.
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4[4]Piao Yongjie. A fixed point theorems for non-self-mapping in metrically convex metric spaces[J]. Jilin Normal Univ(Natural Sci), 2003,24(3):15-18.
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5[5]Piao Yongjie. A new generalized fixed point theorem in metrically convex metric spaces[J]. Yanbian Univ(Natural Sci), 2003,29(1):12-16.
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6朴勇杰.度量凸空间上的一个新的不动点定理(英文)[J].延边大学学报（自然科学版）,2003,29(1):12-16. 被引量：2
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7[7]Assad N A, Kirk W A. Fixed point theorems for set-valued mappings of contractive type[J]. Pacific J Math, 1972,43:553-562.
二级参考文献4
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1[2]N A Assad. On fixed point theorem of Kannan in Banach spaces[J]. TamKang J Math, 1976,7:91 - 94.
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2[3]S K Chatterjea. Fixed point theorems[J]. C R ACad. Bulgare Sci, 1972,25:727- 730.
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3[4]N A Assad, W A Kirk. Fixed point theorems for set-valued mappings of contractive type[J]. Pacific J Math, 1972,43:553 - 562.
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4[1]M S Khan, H K Pathak, M D Khan. Some fixed point theorems in metrically convex spaces[J ]. Georgian J Math, 2000,7: 523 - 530.
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1朴勇杰,朴东哲.度量凸空间上非自映射族的唯一公共不动点定理(英文)[J].应用数学,2009,22(4):852-857. 被引量：6
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2朴勇杰.度量凸空间上的一个新的不动点定理(英文)[J].延边大学学报（自然科学版）,2003,29(1):12-16. 被引量：2
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3朴勇杰.度量凸空间上拟收缩型映射族的唯一公共不动点[J].数学物理学报（A辑）,2010,30(2):487-493. 被引量：3
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4朴勇杰.度量凸空间中Lipschitz型非自映射族的唯一公共不动点[J].应用数学学报,2013,36(3):454-462. 被引量：2
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5朴勇杰,金海兰,南华.度量凸空间上具有唯一公共不动点的非自集值映射族[J].应用数学学报,2014,37(3):437-448.
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6朴勇杰.完备度量凸空间上非自映射的一个新的不动点定理[J].延安大学学报（自然科学版）,2004,23(1):16-18.
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7朴勇杰,崔贤顺.对称空间中具有交换点的自映射族的惟一公共不动点[J].大学数学,2011,27(1):56-58.
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8朴勇杰.度量凸空间上非自映射的一个不动点定理(英文)[J].吉林师范大学学报（自然科学版）,2003,24(3):15-18. 被引量：1
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9Yongjie Piao.Unique Common Fixed Point for a Family of Mappings with a Nonlinear Quasi-Contractive Type Condition in Metrically Convex Spaces[J].Analysis in Theory and Applications,2015,31(2):167-175.
