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C*-代数值度量空间中的一些不动点定理

Some Fixed Point Theorems in C*-algebra-valued Metric Spaces
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摘要 本文得到了C*-代数值度量空间中的一些不动点定理,其结果改进并推广了马振华等人发表在2014年《不动点理论及其应用》一文中的工作.而且,运用所得到的结果,获得了一类常见积分方程解的存在性和唯一性定理. In this paper, some fixed point results in C*-algebra-valued metric spaces are presented. These results improve and generalize the recent work of Ma et al. from [Fixed Point Theory and Applications, 2014, 206: 1-11]. Moreover, by using them, the existence and uniqueness of solution for an ordinary integral equation are also obtained.
作者 黄华平
出处 《应用泛函分析学报》 2016年第1期93-98,共6页 Acta Analysis Functionalis Applicata
基金 湖北省教育厅科学研究计划项目(B2015137 Q20152505)
关键词 C*-代数值度量空间 不动点 积分方程 C*-algebra-valued metric spaces fixed point integral equation
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  • 1Kantorovich Lv. On some further applications of the Newton approximation method[J]. Vestn LeningrUniv. Ser. Mat. Mekh Astron. ,1957,12:68-103.
  • 2Vandergraft Js. Newton's method for convex operators in partially ordered spaces[J]. Siam J. Numer. A-nal. ,1967,4:406-432.
  • 3Deimling M. Nonlinear Functional Analysis[M]. Berlin:Springer-Verlag.1985.
  • 4HUANG Longguang, ZHANG Xian. Cone metric spaces and fixed point theorems of contractive map-pings[J]. j. Math. Anal. Appl. .2007 ,332 : 1468-1476.
  • 5Rezapour Sh,Hamlbarani R. Some notes on the paper “Cone metric spaces and fixed point theorems ofcontractive mappings,,[J]. J. Math. Anal. Appl. ,2008,345 :719-724.
  • 6Jankovic S.Kadelburg Z,Radebovic S. On cone metric spaces: A survey[J]. Nonlinear Analysis,2011,74:2591-2601.
  • 7LIU Hao,XU Shaoyuan.Fixed point theorems of quasi-contractions on cone metric spaces with Banach algebras[J].Abstract and Applied Analysis,Volume 2013,Article ID 187348,5 pages,http://dx.doi.org/10.1155/2013/187348.
  • 8LIU Hao,XU Shaoyuan.Cone metric spaces with Banach algebras and fixed point theorems of generalized Lipschitz mappings[J].Fixed Point Theory and Applications,2013,320:1-10.
  • 9Rudin W.Functional Analysis[M],2nd Edition.New York:McGraw-Hill Companies,Inc.,1991.
  • 10HUANG Longguang,ZHANG Xian.Cone metric spaces and fixed point theorems of contractive map-pings[J].Journal of Mathematical Analysis and Applications,2007,332:1468-1476.

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