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
  • [31] Common fixed point results for four mappings satisfying almost generalized (S, T)-contractive condition in partially ordered metric spaces
    Aghajani, Asadollah
    Radenovic, Stojan
    Roshan, Jamal Rezaei
    APPLIED MATHEMATICS AND COMPUTATION, 2012, 218 (09) : 5665 - 5670
  • [32] Common fixed point theorems under rational contractions for a pair of mappings in bicomplex valued metric spaces
    Jebril, Iqbal H.
    Datta, Sanjib Kumar
    Sarkar, Rakesh
    Biswas, Nityagopal
    JOURNAL OF INTERDISCIPLINARY MATHEMATICS, 2019, 22 (07) : 1071 - 1082
  • [33] Common Fixed Point Theorem for Contractive Mappings in Complex Valued b-Metric Spaces
    Analouei Adegani, Ebrahim
    Zireh, Ahmad
    Bidkham, Mahmood
    GAZI UNIVERSITY JOURNAL OF SCIENCE, 2016, 29 (03): : 681 - 693
  • [34] A Generalized Common Fixed Point Theorem in Complex Valued b-Metric Spaces
    Marzouki, Brahim
    Makran, Noreddine
    El Haddouchi, Abdelhak
    BOLETIM SOCIEDADE PARANAENSE DE MATEMATICA, 2022, 40
  • [35] SOME COMMON FIXED POINT RESULTS FOR RATIONAL TYPE CONTRACTION MAPPINGS IN PARTIALLY ORDERED METRIC SPACES
    Chandok, Sumit
    MATHEMATICA BOHEMICA, 2013, 138 (04): : 407 - 413
  • [36] Some common fixed point theorems for four (psi, phi)-weakly contractive mappings satisfying rational expressions in ordered partial metric spaces
    Rashwan, R. A.
    Saleh, S. M.
    INTERNATIONAL JOURNAL OF NONLINEAR ANALYSIS AND APPLICATIONS, 2015, 7 (01): : 111 - 130
  • [37] COMMON FIXED POINT THEOREMS IN COMPLEX VALUED METRIC SPACES
    Azam, Akbar
    Fisher, Brian
    Khan, M.
    NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION, 2011, 32 (03) : 243 - 253
  • [38] Common Fixed Point Theorems for Six Mappings in Generalized Metric Spaces
    Gu, Feng
    ABSTRACT AND APPLIED ANALYSIS, 2012,
  • [39] Common fixed point of generalized weak contractive mappings in partially ordered b-metric spaces
    Aghajani, Asadollah
    Abbas, Mujahid
    Roshan, Jamal Rezaei
    MATHEMATICA SLOVACA, 2014, 64 (04) : 941 - 960
  • [40] Common fixed point theorems for four mappings through generalized altering distances in ordered metric spaces
    Nashine H.K.
    Aydi H.
    ANNALI DELL'UNIVERSITA' DI FERRARA, 2012, 58 (2) : 341 - 358