偏距离空间上四个映射的公共不动点的存在性与唯一性

数学物理学报 ›› 2014, Vol. 34 ›› Issue (1): 62-69.

偏距离空间上四个映射的公共不动点的存在性与唯一性

王云杰

江苏师范大学科文学院江苏徐州 221116

收稿日期:2012-08-27 修回日期:2013-10-19 出版日期:2014-02-25 发布日期:2014-02-25
基金资助:
国家自然科学基金项目(10771212)资助.

Existence and Uniqueness of |Common Fixed Point for Four Mappings on Partial Metric Spaces

WANG Yun-Jie

Kewen College, Jiangsu Normal University, Xuzhou 221116

Received:2012-08-27 Revised:2013-10-19 Online:2014-02-25 Published:2014-02-25
Supported by:
国家自然科学基金项目(10771212)资助.

摘要/Abstract

摘要：

该文证明了偏距离空间上满足广义非线性压缩型的四个映射的公共不动点定理. 最后, 举例说明了该文压缩条件确实改进了目前一些文献中压缩条件.

关键词: 完备偏距离空间, 公共不动点, 弱相容

Abstract:

In this work, we shall prove that a common fixed point theorem for four mappings satisfying a generalized nonlinear
contraction type condition on partial metric spaces. Finally, we give two examples to show that our contractive conditions is real improvement for the contractive conditions used in the literature.

Key words: Complete partial metric space, Common fixed point, Weakly compatible

中图分类号:

34B15

王云杰. 偏距离空间上四个映射的公共不动点的存在性与唯一性[J]. 数学物理学报, 2014, 34(1): 62-69.

WANG Yun-Jie. Existence and Uniqueness of |Common Fixed Point for Four Mappings on Partial Metric Spaces[J]. Acta mathematica scientia,Series A, 2014, 34(1): 62-69.

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