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b-度量空间中的一类平方型Φ-压缩映象的公共不动点定理

The Common Fixed Point Theorem for a Class of Twice Power Type Φ-contractive Mapping in b-metric Spaces
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摘要 利用b-度量空间中自映象对相容和弱相容条件,讨论了b-度量空间中一类平方型Φ-压缩映象公共不动点的存在性与唯一性问题,证明了一个新的公共不动点定理,改进和推广了某些已知结果. By using the compatible and weak compatible conditions of self-mapping pair in b-metric spaces,the existence and uniqueness of common fixed point for a class of twice power typeΦ-contractive mappings in b-metric spaces is discussed.A new common fixed theorem is obtained.
作者 刘丽亚 谷峰
出处 《杭州师范大学学报(自然科学版)》 CAS 2016年第2期171-177,共7页 Journal of Hangzhou Normal University(Natural Science Edition)
基金 国家自然科学基金项目(11071169) 浙江省自然科学基金项目(Y6110287)
关键词 b-度量空间 相容映象对 弱相容映象对 平方型Φ-压缩映象 公共不动点 b-metric spaces compatible mapping pair weak compatible mapping pair twice power type Φ-contractive mapping common fixed point
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参考文献9

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