Common Fixed Point of Generalized Weak Contractive Mappings in Partially Ordered Gb-metric Spaces

被引：58
|
作者：
Aghajani, Asadollah [1 ]
Abbas, Mujahid [2 ]
Roshan, Jamal Rezaei [3 ]
机构：
[1] Iran Univ Sci & Technol, Sch Math, Tehran 1684613114, Iran
[2] Univ Pretoria, Dept Math & Appl Math, ZA-0002 Pretoria, South Africa
[3] Islamic Azad Univ, Qaemshahr Branch, Dept Math, Qaemshahr, Iran
来源：
FILOMAT | 2014年 / 28卷 / 06期
关键词：
Common fixed point; weakly compatible maps; b-metric space; G-metric space; partially ordered set; METRIC-SPACES; CONTINUITY;
D O I：
10.2298/FIL1406087A
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this work, using the concepts of G-metric and b-metric we define a new type of metric which we call G(b)-metric. We study some basic properties of such metric. We also prove a common fixed point theorem for six mappings satisfying weakly compatible condition in complete partially ordered G(b)-metric spaces. A nontrivial example is presented to verify the effectiveness and applicability of our main result.
引用
收藏
页码：1087 / 1101
页数：15
相关论文
共 50 条
  • [21] Tripled fixed point theorems for contractive type mappings in partially ordered metric spaces
    Berinde, Vasile
    Borcut, Marin
    NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2011, 74 (15) : 4889 - 4897
  • [22] Coupled fixed point theorems for α-ψ-contractive type mappings in partially ordered metric spaces
    Mursaleen, Mohammad
    Mohiuddine, Syed Abdul
    Agarwal, Ravi P
    FIXED POINT THEORY AND APPLICATIONS, 2012,
  • [23] Common Fixed Point of Generalized Rational Type Contraction Mappings in Partially Ordered Metric Spaces
    Chandok, Sumit
    Karapinar, Erdal
    THAI JOURNAL OF MATHEMATICS, 2013, 11 (02): : 251 - 260
  • [24] Coupled fixed point theorems for α-ψ-contractive type mappings in partially ordered metric spaces
    Mohammad Mursaleen
    Syed Abdul Mohiuddine
    Ravi P Agarwal
    Fixed Point Theory and Applications, 2012
  • [25] Common fixed point of generalized weakly contractive maps in partially ordered G-metric spaces
    Abbas, Mujahid
    Nazir, Talat
    Radenovic, Stojan
    APPLIED MATHEMATICS AND COMPUTATION, 2012, 218 (18) : 9383 - 9395
  • [26] FIXED POINT RESULTS FOR WEAK CONTRACTIVE MAPPINGS IN ORDERED K-METRIC SPACES
    Ciric, U.
    Samet, B.
    Vetro, C.
    Abbas, M.
    FIXED POINT THEORY, 2012, 13 (01): : 59 - 72
  • [27] Fixed Points of Generalized Contractive Mappings in Ordered Metric Spaces
    Amini-Harandi, A.
    FILOMAT, 2014, 28 (06) : 1247 - 1252
  • [28] Common Fixed Point of (ψ, β, L)-Generalized Contractive Mapping in Partially Ordered b-Metric Spaces
    Jiang, Binghua
    Huang, Huaping
    Radenovic, Stojan
    AXIOMS, 2023, 12 (11)
  • [29] On Common Coupled Fixed Point for ψ-Contractive in Partially Ordered Bipolar-Metric Spaces Using Compatible Mappings
    Kishore, G. N. V.
    Rao, B. V. Appa
    Rao, B. Srinuvasa
    Phani, Y.
    Babu, G. Suri
    IMPENDING INQUISITIONS IN HUMANITIES AND SCIENCES, ICIIHS-2022, 2024, : 355 - 363
  • [30] Fixed Point Theorems for ψ-Contractive Mappings in Ordered Metric Spaces
    Chen, Chi-Ming
    JOURNAL OF APPLIED MATHEMATICS, 2012,
12345