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度量凸空间上非自映射族的唯一公共不动点定理(英文) 被引量：6

Unique Common Fixed Point Theorems for a Family of Non-self Maps in Metrically Convex Spaces
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摘要 给出了若干个度量凸空间的闭子集上的非自映射族的公共不动点的存在性与唯一性.我们的主要结果对文献中的许多同类型的不动点定理进行了改进和一般化. Some existence and uniqueness of a common fixed point for a family of non-self mappings of closed subset in a complete metrically convex metric space are given. Our main results generalize and improve many same type fixed point theorems in references.
作者 朴勇杰 朴东哲
机构地区 延边大学数学系
出处 《应用数学》 CSCD 北大核心 2009年第4期852-857,共6页 Mathematica Applicata
关键词 度量凸空间 公共不动点 完备 Metrically convex space Common fixed point Complete
分类号 O177.3 [理学—基础数学] O189.11 [理学—基础数学]
  • 相关文献

参考文献8

  • 1Assad N A. On fixed point theorem of Kannan in Banach spaces [J]. TamKang J. Math. , 1976,7:91-94.
  • 2Assad N A. Fixed point theorems for set-valued transformations on compact sets[J]. Boll. Un. Math. Ital. ,1973,7(4) :1-7.
  • 3Assad N A, Kirk W A. Fixed point theorems for set-valued mappings of contractive type[J]. Pacific J. Math. , 1972,43 : 553-562.
  • 4Khan M S,Pathak H K,Khan M D. Some fixed point theorems in metrically convex spaces[J]. Georgian J. Math. , 2000,7 (3): 523-530.
  • 5Piao Yongjie. A new generalized fixed point theorem in metrically convex metric spaces[J]. Yanbian Univ. (Natural Sci. ) ,2003,29(1) : 12-16.
  • 6Chatterjea S K. Fixed point theorems[J]. C. R. ACad. ,Bulagare Sci. , 1972,25:727-730.
  • 7Piao Yongjie. A fixed point theorem for non-self-mapping in metrically convex metric spaces[J]. Jilin Normal Univ. (Natural Sci. ),2003,24(3):15-18.
  • 8Hadzic O. A common fixed point theorem for a family of mappings in convex metric spaces[J]. Univ. U. .NovomSadu,Zb. Rad. Prirod. Mat. Fak. Ser. Mat. ,1990,20(1):89-95.

同被引文献16

  • 1Assad N A. On Fixed Point Theorem of Karman in Banach Spaces. TamKang J. Math., 1976, 7: 91-94.
  • 2Assad N A. Fixed Point Theorems for Set-valued Transformations on Compact Sets. Boll. Un. Math. Ital, 1973, 7(4): 1-7.
  • 3Assad N A, Kirk W A. Fixed Point Theorems for Set-valued Mappings of Contractive Type. Pacific J. Math., 1972, 43: 553-562.
  • 4Khan M S, Pathak H K, Khan M D. Some Fixed Point Theorems in Metrically Convex Spaces. Georgain J. Math., 2000, 7(3): 523-530.
  • 5Chatterjea S K. Fixed Point Theorems. C. R. Acad. Bulagarc Sci, 1972, 25: 727-730.
  • 6Hadzic O. Common Fixed Point Theorem for a Family of Mappings in Convex Metric Spaces. Univ. U. Novom Sadu, Zb. Rad. Prirod. Mat. Fak. Ser. Mat., 1990, 20(1): 89-95.
  • 7ASSAD N A. Fixed point theorems for set-valued transformations on compact sets[ J]. Bollettino Unione Matematica Italiana, 1973, 7(4) : 1-7.
  • 8ASSAD N A, KIRK W A. Fixed point theorems for set-valued mappins of contractive type[J]. Pacific Journal of Mathematics, 1972 , 43 : 553 - 562.
  • 9ABBAS M, RHOADES B E, NAZIR T. Common fixed points of generalized contractive multivalued mappings in cone metric sapces[ J]. Mathe-matical Communications, 2009,14(2) :365 -378.
  • 10Yongjie Piao.UNIQUE COMMON FIXED POINT OF A FAMILY OF SELF-MAPS WITH SAME TYPE CONTRACTIVE CONDITION IN 2-METRIC SPACE[J].Analysis in Theory and Applications,2008,24(4):316-320. 被引量：15

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应用数学
2009年 第4期

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