Common fixed point of mappings satisfying rational inequalities in ordered complex valued generalized metric spaces

被引:26
|
作者
Abbas M. [1 ]
Ćojbašić Rajić V. [2 ]
Nazir T. [3 ]
Radenović S. [4 ]
机构
[1] Department of Mathematics and Applied Mathematics, University of Pretoria, Lynnwood road, Pretoria
[2] Faculty of Economics, University of Belgrade, Kamenička 6, Beograd
[3] Department of Mathematics, COMSATS Institute of Information Technology, Abbottabad
[4] Faculty of Mechanical Engineering, University of Belgrade, Kraljice Marije 16, Beograd
关键词
Complex valued generalized metric spaces; BA-cone metric space; Common fixed point; Partially ordered set; Periodic point; Weakly increasing map;
D O I
10.1007/s13370-013-0185-z
中图分类号
学科分类号
摘要
Azam et al. (Numer Funct Anal Optim, 32(3):243–253, 2011) introduced a notion of complex valued metric space and obtained common fixed point result for mappings in such spaces. In this paper, introducing the concept of complex valued generalized metric spaces, some fixed and common fixed point results are obtained. As an application, periodic point property of common fixed point problem for two rational type contractive mappings involved therein is established. © 2013, The Author(s).
引用
收藏
页码:17 / 30
页数:13
相关论文
共 50 条
  • [41] Common Fixed Point of Generalized Weak Contractive Mappings in Partially Ordered Gb-metric Spaces
    Aghajani, Asadollah
    Abbas, Mujahid
    Roshan, Jamal Rezaei
    FILOMAT, 2014, 28 (06) : 1087 - 1101
  • [42] Some Common Fixed-Point Theorems for Generalized-Contractive-Type Mappings on Complex-Valued Metric Spaces
    Klin-eam, Chakkrid
    Suanoom, Cholatis
    ABSTRACT AND APPLIED ANALYSIS, 2013,
  • [43] Generalized nonexpansive mappings in ordered metric spaces and their (common) fixed points with applications
    Nashine, Hemant Kumar
    Kadelburg, Zoran
    REVISTA DE LA REAL ACADEMIA DE CIENCIAS EXACTAS FISICAS Y NATURALES SERIE A-MATEMATICAS, 2014, 108 (02) : 633 - 651
  • [44] Generalized nonexpansive mappings in ordered metric spaces and their (common) fixed points with applications
    Hemant Kumar Nashine
    Zoran Kadelburg
    Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales. Serie A. Matematicas, 2014, 108 : 633 - 651
  • [45] Common fixed points of almost generalized contractive mappings in ordered metric spaces
    Ciric, Ljubomir
    Abbas, Mujahid
    Saadati, Reza
    Hussain, Nawab
    APPLIED MATHEMATICS AND COMPUTATION, 2011, 217 (12) : 5784 - 5789
  • [46] Common fixed point theorems satisfying rational contraction in partially ordered metric space
    Isha
    Mani, Naveen
    Anjana
    Bhardwaj, Reeta
    JOURNAL OF INTERDISCIPLINARY MATHEMATICS, 2024, 27 (08) : 1773 - 1779
  • [47] COUPLED COINCIDENCE POINT RESULTS WITH MAPPINGS SATISFYING RATIONAL INEQUALITY IN PARTIALLY ORDERED METRIC SPACES
    Choudhury, Binayak S.
    Konar, Pulak
    Metiya, Nikhilesh
    JOURNAL OF APPLIED MATHEMATICS & INFORMATICS, 2019, 37 (1-2): : 1 - 11
  • [48] Common fixed point and coincidence point of generalized contractions in ordered metric spaces
    Ismat Beg
    Asma Rashid Butt
    Fixed Point Theory and Applications, 2012
  • [49] Fixed Point Theorem in Partially Ordered Metric Spaces for Generalized Contraction Mappings
    Chandok, S.
    Khan, M. S.
    Narang, T. D.
    AZERBAIJAN JOURNAL OF MATHEMATICS, 2015, 5 (01): : 89 - 96
  • [50] Fixed point of generalized weakly contractive mappings in ordered partial metric spaces
    Abbas, Mujahid
    Nazir, Talat
    FIXED POINT THEORY AND APPLICATIONS, 2012, : 1 - 19