数学物理学报 ›› 2015, Vol. 35 ›› Issue (2): 441-448.

• 论文 • 上一篇    

W-空间上满足积分型收缩条件的映射族的

朴勇杰   

  1. 延边大学理学院数学系 吉林延吉 133002
  • 收稿日期:2013-10-08 修回日期:2014-11-06 出版日期:2015-04-25 发布日期:2015-04-25
  • 作者简介:朴勇杰,E-mail:sxpyj@ybu.edu.cn
  • 基金资助:

    国家自然科学基金(11361064,11261062)和吉林省教育厅科研项目(吉教科合字2011[434])资助

Common Fixed Point Results for Mappings Satisfying Contractive Conditions of Integral Type on W-Spaces

Piao Yongjie   

  1. Department of Mathematics, College of Science, Yanbian University, Jinlin Yanji 133002
  • Received:2013-10-08 Revised:2014-11-06 Online:2015-04-25 Published:2015-04-25

摘要:

引进了两个实函数类Φ和Ψ, 考虑了在W-空间上满足两种不同积分型收缩条件的映射族, 然后证明了映射族满足反交换性或具有交换点时拥有唯一公共不动点. 同时, 给出了若干特殊结果. 所得结果推广和改进了很多Banach收缩原理的推广结果.

关键词: W-空间, 反交换映射族, 交换点, 类Φ, 类Ψ, 类Υ

Abstract:

Two real functional sets Φ and Ψ are introduced, mappings satisfying two deferent contractive conditions of integral type on W-spaces are considered, and then that mappings have a unique common fixed point, if they satisfy converse commuting property or have a commuting point, is proved. At the same time, some particular forms are given. The obtained results here generalize and improve many generalizations of Banach contraction principle.

Key words: W-space, Converse commuting mappings, Commuting point, Set Φ, Set Ψ, Set γ

中图分类号: 

  • O177.91