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Cone Metric Spaces and Fixed Point Theorems in Diametrically Contractive Mappings
查看参考文献5篇
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文摘
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In this paper, some topological concepts and definitions are generalized to cone metric spaces. It is proved that every cone metric space is first countable topological space and that sequentially compact subsets are compact. Also, we define diametrically contractive mappings and asymptotically diametrically contractive mappings on cone metric spaces to obtain some fixed point theorems by assuming that our cone is strongly minihedral. |
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来源
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Acta Mathematica Sinica. English Series
,2010,26(3):489-496 【核心库】
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DOI
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10.1007/s10114-010-8019-5
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关键词
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fixed point
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cone metric space
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diametrically contractive
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sequentially compact
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Lebesgue element
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totally bounded
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strongly minihedralMR(2000) Subject Classification 47H10
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54H25
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地址
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1.
Department of Mathematics, Faculty of Science and Arts, Gazi University, Turkey, 06500
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Department of Mathematics, Institute of Science and Technology, Gazi University, Turkey, 06500
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语种
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英文 |
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文献类型
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研究性论文 |
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ISSN
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1439-8516 |
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学科
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数学 |
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基金
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the Scientific and Technological Research Council of Turkey
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文献收藏号
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CSCD:3873309
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参考文献 共
5
共1页
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1.
Huang,L.G. Cone metric spares and fixed point theorems of contractive mappings.
J.Math.Anal.App,2007,332:1468-1476
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CSCD被引
75
次
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2.
Ilic,D. Common fixed points for maps on cone metric space.
Journal of Mathematical Analysis and Applications,2008,341(2):876-882
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CSCD被引
11
次
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3.
Abbas,M. Common fixed point results for noncommuting mappings without continuity in cone metric spaces.
Journal of Mathematical Analysis and Applications,2008,341(1):416-420
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CSCD被引
37
次
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4.
Xu,H.K. Diametrically contractive mappings.
Bulletin of the Australian Mathematical Society,2004,70(3):463-468
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CSCD被引
1
次
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5.
Deimling,K.
Nonlinear Functional Analysis,1985
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CSCD被引
213
次
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