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G-度量空间两对非相容映象的几个新的公共不动点定理 被引量:1

Some new common fixed point theorem for two pairs of noncompatible mappings in G-metric spaces
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摘要 在G-度量空间中,利用自映象对的非相容性和(Ag)型R-弱交换性条件,在既不要求空间的完备性,也不要求映象连续的条件下,建立了一类立方型Φ-压缩映象条件下4个映象的公共不动点定理,其结果改进和发展了已有文献的相关结果. By using the noncompatible and (Ag) type R -weak commutativity conditions of self-mapping pairs, established some new common fixed point theorem for four self-mappings with ~ -contractive condition of cubic type in the framework of G -metric spaces. The results don't demand for completeness of spaces and continuity of mappings. The results obtained improves and extends some relative results.
出处 《高师理科学刊》 2013年第2期25-29,共5页 Journal of Science of Teachers'College and University
基金 韩山师范学院大学生创新性实验(实践)项目(No.2012-71) 韩山师范学院理科团队项目(LT201202)
关键词 G-度量空间 立方型Φ-压缩映象 非相容映象对 (Ag)型R-弱交换 公共不动点 G -metric space cubic type φ -contractive condition noncompatible mapping pairs (Ag) typeR -weak commutativity mapping common fiexd point
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