Common Fixed Point Theorems for Contractive Mappings of Integral Type in G-Metric Spaces and Applications

被引：4
|
作者：
Zhang, Fengrong [1 ]
Zhang, Xiangshuai [2 ]
Hao, Yan [3 ]
机构：
[1] Dalian Polytech Univ, Sch Informat Sci & Engn, Dalian 116034, Liaoning, Peoples R China
[2] Liaoning Normal Univ, Dept Math, Dalian 116029, Liaoning, Peoples R China
[3] Shenyang Normal Univ, Sch Math & Syst Sci, Shenyang 110034, Liaoning, Peoples R China
来源：
JOURNAL OF FUNCTION SPACES | 2021年 / 2021卷
关键词：
D O I：
10.1155/2021/6619964
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Two common fixed point theorems for weakly compatible mappings satisfying contractive conditions of integral type in G-metric spaces are demonstrated. The results obtained in this paper generalize and differ from a few results in the literature and are used to prove the existence and uniqueness of common bounded and continuous solutions for certain functional equations and nonlinear Volterra integral equations. A nontrivial example is included.
引用
收藏
页数：15
相关论文
共 50 条
  • [21] FIXED POINT THEOREMS IN QUASI-METRIC SPACES AND APPLICATIONS TO MULTIDIMENSIONAL FIXED POINT THEOREMS ON G-METRIC SPACES
    Agarwal, Ravi
    Karapinar, Erdal
    Roldan-Lopez-De-Hierro, Antonio-Francisco
    [J]. JOURNAL OF NONLINEAR AND CONVEX ANALYSIS, 2015, 16 (09) : 1787 - 1816
  • [22] Some New Common Fixed Point Theorems under Strict Contractive Conditions in G-Metric Spaces
    Mustafa, Zead
    [J]. JOURNAL OF APPLIED MATHEMATICS, 2012,
  • [23] Common fixed point theorems under strict contractive conditions in Menger probabilistic G-metric spaces
    Tu, Qiang
    Zhu, Chuanxi
    Wu, Zhaoqi
    [J]. JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS, 2015, 8 (06): : 1176 - 1189
  • [24] Common Fixed Point Theorems for Nonlinear Contractive Mappings in Dislocated Metric Spaces
    Ren, Yijie
    Li, Junlei
    Yu, Yanrong
    [J]. ABSTRACT AND APPLIED ANALYSIS, 2013,
  • [25] Common fixed point theorems for nonlinear contractive mappings in fuzzy metric spaces
    Shenghua Wang
    Saud M Alsulami
    Ljubomir Ćirić
    [J]. Fixed Point Theory and Applications, 2013
  • [26] Common Coupled Fixed Point Theorems for Contractive Mappings in Fuzzy Metric Spaces
    Xin-Qi Hu
    [J]. Fixed Point Theory and Applications, 2011
  • [27] Common Coupled Fixed Point Theorems for Contractive Mappings in Fuzzy Metric Spaces
    Hu, Xin-Qi
    [J]. FIXED POINT THEORY AND APPLICATIONS, 2011,
  • [28] Common fixed point theorems for nonlinear contractive mappings in fuzzy metric spaces
    Wang, Shenghua
    Alsulami, Saud M.
    Ciric, Ljubomir
    [J]. FIXED POINT THEORY AND APPLICATIONS, 2013,
  • [29] Fixed point theorems in G-metric spaces
    Gaba, Yae Ulrich
    [J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2017, 455 (01) : 528 - 537
  • [30] Common coupled fixed point theorems for contractive mappings in fuzzy metric spaces
    Mihet, Dorel
    [J]. JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS, 2013, 6 (01): : 35 - 40
12345