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W-空间上满足积分型收缩条件的映射族的公共不动点结果 被引量：2

Common Fixed Point Results for Mappings Satisfying Contractive Conditions of Integral Type on W-Spaces
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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. Two real functional sets Ф 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.
作者 朴勇杰
机构地区 延边大学理学院数学系
出处 《数学物理学报（A辑）》 CSCD 北大核心 2015年第2期441-448,共8页 Acta Mathematica Scientia
基金 国家自然科学基金(11361064 11261062) 吉林省教育厅科研项目(吉教科合字2011[434])资助
关键词 W-空间 反交换映射族 交换点 类φ 类ψ 类Υ W-space Converse commuting mappings Commuting point Set Ф Set ψ Set Y.
分类号 O177.91 [理学—基础数学]
  • 相关文献

参考文献21

  • 1Banach A. Sur les operations dans les ensembles abstraist et leur applications aux ~quations int~grales. Fund Math, 1922, 3:133-181.
  • 2Aliouche A. A common fixed point theorem for weakly compatible mappings in symmetric spaces satisfying a contractive condition of integral type. J Math Anal Appl, 2006, 322:796-802.
  • 3Altun I, Tfirko~lu D. Some fixed point theorems for weakly compatible mapping satisfying an implicit relation. Taiwan Residents J Math, 2009, 13:1291 1304.
  • 4Jachymski J. Remarks on contractive conditions of integral type. Nonlinear Appl, 2009, 71:1073 1081.
  • 5Mocanu M, Popa V. Some fixed point theorems for mappings satisfying implicit relations in symmetric spaces. Liberates Math, 2008, 28:1 13.
  • 6Gairola U C, Rawat A S. A fixed point theorem for intera] type inequality. Int J Math Anal, 2008, 2(15): 709-712.
  • 7Sirous Moradi, Mahbobeh Omid. A fixed point theorem for integral type inequality depending on another function. Int J Math Anal, 2010, 4(30): 1491-1499.
  • 8Altun I, Abbas M, Simsek H. A fixed point theorem on cone metric spaces with new type contractivity. Banach J Math Anal, 2011, 5(2): 15-24.
  • 9Popa V, Mocanu M. Altering distance and common fixed points under implicit relations. Hacettepe J Math Satist, 2009, 38(3): 329-337.
  • 10Abbas M, Rhaodes B E. Common fixed point theorems for hybrid pairs of occasionally weakly compatible mappings satisfying generalized contractive condition of integral type. Fixed Point Theory and Applica- tions, 2007, Article ID 54101, 9pages.

二级参考文献40

  • 1陆珏,冀小明,周武.对称空间中一类非压缩映象的公共不动点(英文)[J].西南民族大学学报（自然科学版）,2005,31(1):13-16. 被引量：7
  • 2胡新启,刘启宽.度量空间中反交换映射的公共不动点[J].数学杂志,2007,27(1):19-22. 被引量：13
  • 3HICKS T L, RHOADES B E. Fixed point theory in symmetric spaces with applicatios to probabilistic spaces[J]. Nonlinear Analysis, 1993,36 :331-334.
  • 4PANT R P. Common fixed point theorems for contractive maps[J]. J Math Anal Appl, 1998,226: 251-258.
  • 5ASMRI M, MOUTAWAKIL D E. Common fixed points under contractive conditions in symmetric spaces [J]. Applied Mathematics E-notes, 2003,3 : 156-162.
  • 6ASMRI M, MOUTAWAKIL D E. Some new common fixed points under strict contractive conditions[J]. J Math Anal Apl, 2002,270 : 181-188.
  • 7HICKS T L,RHOADES B E.Fixed point theory in symmetric spaces with applications to probabilistic spaces[J].Nonlinear Analysis,1993,36:331-334.
  • 8PANT R P.Common fixed point theorems for contractive maps[J].J Math Anal Appl,1998,226:251-258.
  • 9ASMRI M,MOUTAWAKIL D E.Common fixed points under contractive conditions in symmetric spaces[J].Applied Mathe-matics E- notes,2003,3:156-162.
  • 10ASMRI M,MOUTAWAKIL D E.Some new common fixed points under strict contractive conditions[J].J Math Anal Appl,2002,270:181- 188.

共引文献26

同被引文献17

  • 1陆珏,冀小明,周武.对称空间中一类非压缩映象的公共不动点(英文)[J].西南民族大学学报（自然科学版）,2005,31(1):13-16. 被引量：7
  • 2胡新启,刘启宽.度量空间中反交换映射的公共不动点[J].数学杂志,2007,27(1):19-22. 被引量：13
  • 3夏大峰,符美芬,江波.具有对称的集合和完备度量空间上两个自映射的共同不动点[J].数学进展,2007,36(4):415-420. 被引量：13
  • 4ALIOUCHE A.A common fixed point theorem for weakly compatible mappings in symmetric spaces satisfying a contractive condition of integral type[J].J Math Anal Appl,2006,322:796-802.
  • 5ALTUN I,TüRKOGLU D.Some fixed point theorems for weakly compatible mapping satisfying an implicit relation[J].Taiwan Residents J Math,2009,13:1291-1304.
  • 6JACHYMSKI J.Remarks on contractive conditions of integral type[J].Nonlinear Appl,2009,71:1073-1081.
  • 7MOCANU M,POPA V.Some fixed point theorems for mappings satisfying implicit relations in symmetric spaces[J].Liberates Math,2008,28:1-13.
  • 8GAIROLA U C,RAWAT A S.A fixed point theorem for integral type inequality[J].Int J Math Anal,2008,15(2):709-712.
  • 9SIROUS M,MAHBOBEH O.A fixed point theorem for integral type inequality depending on another function[J].Int J Math Anal,2010,30(4):1491-1499.
  • 10ALTUN I,ABBAS M,SIMSEK H.A fixed point theorem on cone metric spaces with new type contractivity[J].Banach J Math Anal,2011,5(2):15-24.

引证文献2

二级引证文献1

数学物理学报（A辑）
2015年 第2期

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