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Common Fixed Points for Two Mappings with Implicit-linear Contractions on Partially Ordered 2-metric Spaces

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【作者】 PIAO YONG-JIE

【Author】 PIAO YONG-JIE;Department of Mathematics, College of Science, Yanbian University;

【机构】 Department of Mathematics, College of Science, Yanbian University

【摘要】 In this paper, we introduce a new class U of 3-dimensional real functions, use U and a 2-dimensional real function ? to construct a new implicit-linear contractive condition and obtain some existence theorems of common fixed points for two mappings on partially ordered 2-metric spaces and give a sufficient condition under which there exists a unique common fixed point. The obtained results goodly generalize and improve the corresponding conclusions in references.

【基金】 The NSF (11361064) of China
  • 【DOI】10.13447/j.1674-5647.2019.03.04
  • 【分类号】O177.91
  • 【下载频次】3
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