Fixed point theorems for operator in cone Banach spaces

被引：3
|
作者：
Mutlu, Ali [1 ]
Yolcu, Nermin [1 ]
机构：
[1] Celal Bayar Univ, Fac Sci & Arts, Dept Math, TR-45047 Manisa, Turkey
来源：
FIXED POINT THEORY AND APPLICATIONS | 2013年
关键词：
cone metric space; complete cone metric space; fixed point; CONTRACTIVE MAPPINGS; METRIC-SPACES;
D O I：
10.1186/1687-1812-2013-56
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper a class of self-mappings on cone Banach spaces which have at least one fixed point is considered. More precisely, for a closed and convex subset C of a cone Banach space with the norm , if there exist a, b, c, r and satisfies the conditions and for all , then T has at least one fixed point. MSC: 47H10, 54H25.
引用
收藏
页码：1 / 6
页数：6
相关论文
共 50 条
  • [1] Fixed point theorems for Φp operator in cone Banach spaces
    Ali Mutlu
    Nermin Yolcu
    Fixed Point Theory and Applications, 2013
  • [2] Fixed Point Theorems in Cone Banach Spaces
    Karapinar, Erdal
    FIXED POINT THEORY AND APPLICATIONS, 2009,
  • [3] COMMON FIXED POINT THEOREMS IN CONE BANACH SPACES
    Abdeljawad, Thabet
    Karapinar, Erdal
    Tas, Kenan
    HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS, 2011, 40 (02): : 211 - 217
  • [4] Common fixed point theorems in cone Banach type spaces
    Moradlou, Fridoun
    Salimi, Peyman
    HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS, 2015, 44 (03): : 597 - 606
  • [5] The concept of cone b-Banach space and fixed point theorems
    Yang, Chen
    Zhu, Xiaolin
    OPEN MATHEMATICS, 2021, 19 (01): : 1187 - 1196
  • [6] Fixed point theorems for contractive mapping in cone metric spaces
    Asadi, Mehdi
    Vaezpour, S. Mansour
    Rakocevic, Vladimir
    Rhoades, Billy E.
    MATHEMATICAL COMMUNICATIONS, 2011, 16 (01) : 147 - 155
  • [7] Some fixed point theorems on cone 2-metric spaces over Banach algebras
    Wu, Guangrong
    Yang, L.
    JOURNAL OF FIXED POINT THEORY AND APPLICATIONS, 2018, 20 (03)
  • [8] Fixed point and common fixed point theorems on ordered cone metric spaces
    Altun, Ishak
    Damjanovic, Bosko
    Djoric, Dragan
    APPLIED MATHEMATICS LETTERS, 2010, 23 (03) : 310 - 316
  • [9] GENERALIZED FIXED POINT THEOREMS IN CONE METRIC SPACES
    Kim, Seung Hyun
    Lee, Byung Soo
    KOREAN JOURNAL OF MATHEMATICS, 2012, 20 (03): : 353 - 360
  • [10] ON SOME COMMON FIXED POINT THEOREMS WITH RATIONAL EXPRESSIONS ON CONE METRIC SPACES OVER A BANACH ALGEBRA
    Ozturk, Mahpeyker
    Basarir, Metin
    HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS, 2012, 41 (02): : 211 - 222
12345