ON SOME COMMON FIXED POINT THEOREMS WITH RATIONAL EXPRESSIONS ON CONE METRIC SPACES OVER A BANACH ALGEBRA

被引:0
|
作者
Ozturk, Mahpeyker [1 ]
Basarir, Metin [1 ]
机构
[1] Sakarya Univ, Dept Math, TR-54187 Sakarya, Turkey
来源
关键词
Fixed point; Cone metric space; Metric space; Rational expression; Weak commutativity; Banach Algebra;
D O I
暂无
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
In the present paper we have defined a new space called a BA-cone metric space by taking a Banach algebra instead of a Banach space. Some common fixed point theorems involving rational expressions have been proved and some consequences obtained in these spaces. Also we have extended this work to four mappings with a weak commutativity property in BA-cone metric spaces.
引用
下载
收藏
页码:211 / 222
页数:12
相关论文
共 50 条
  • [41] Some fixed point theorems on ordered cone metric spaces
    Altun I.
    Durmaz G.
    Rendiconti del Circolo Matematico di Palermo, 2009, 58 (2) : 319 - 325
  • [42] Some Fixed Point Theorems For Mappings Involving Rational Type Expressions In Partial Metric Spaces
    Saluja, Amarjeet Singh
    Khan, Mohammad Saeed
    Jhade, Pankaj Kumar
    Fisher, Brian
    APPLIED MATHEMATICS E-NOTES, 2015, 15 : 147 - 161
  • [43] COUPLED FIXED POINT THEOREMS OF SOME CONTRACTION MAPS OF INTEGRAL TYPE ON CONE METRIC SPACES OVER BANACH ALGEBRAS
    Akewe, Hudson
    Olilima, Joshua
    Mogbademu, Adesanmi
    HONAM MATHEMATICAL JOURNAL, 2021, 43 (02): : 269 - 287
  • [44] Fixed Point Theorems in Cone Banach Spaces
    Erdal Karapınar
    Fixed Point Theory and Applications, 2009
  • [45] Fixed Point Theorems in Cone Banach Spaces
    Karapinar, Erdal
    FIXED POINT THEORY AND APPLICATIONS, 2009,
  • [46] Coincidence and common fixed and periodic point theorems in cone metric spaces
    Yang, Seung-Kab
    Bae, Jong-Sook
    Cho, Seong-Hoon
    COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2011, 61 (02) : 170 - 177
  • [47] New common fixed point theorems for maps on cone metric spaces
    Song, Guangxing
    Sun, Xiaoyan
    Zhao, Yian
    Wang, Guotao
    APPLIED MATHEMATICS LETTERS, 2010, 23 (09) : 1033 - 1037
  • [48] SOME FIXED AND COMMON FIXED-POINT THEOREMS IN METRIC SPACES
    SEHGAL, VM
    CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES, 1974, 17 (02): : 257 - 259
  • [49] Common fixed point theorems for generalized contraction involving rational expressions in complex valued metric spaces
    Nashine, Hemant Kumar
    Fisher, Brian
    ANALELE STIINTIFICE ALE UNIVERSITATII OVIDIUS CONSTANTA-SERIA MATEMATICA, 2015, 23 (02): : 179 - 185
  • [50] Common fixed point theorems for generalized ordered contractive mappings on cone b-metric spaces over Banach algebras
    Bai, Chuanzhi
    JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS, 2016, 9 (11): : 5766 - 5771