The existence theorem for a solution of a system of integral equations along with cyclical common fixed point technique

被引：0
|
作者：
Yamaod, Oratai [1 ]
Sintunavarat, Wutiphol [1 ]
机构：
[1] Thammasat Univ, Rangsit Ctr, Dept Math & Stat, Fac Sci & Technol, Pathum Thani 12121, Thailand
来源：
JOURNAL OF FIXED POINT THEORY AND APPLICATIONS | 2017年 / 19卷 / 02期
关键词：
b-metric spaces; Common fixed points; Cyclic contraction mappings; Integral equations; WEAKLY CONTRACTIVE MAPS; B-METRIC SPACES; MAPPINGS;
D O I：
10.1007/s11784-017-0406-4
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we introduce the concept of generalized cyclic contraction pairs in b-metric spaces. We establish some fixed point results on b-metric spaces and also give some examples to illustrate the main results. As applications, we show the existence of a common solution for the following system of integral equations: where with , (the set of all continuous real value functions defined on ) and are mappings.
引用
收藏
页码：1535 / 1549
页数：15
相关论文
共 50 条
  • [11] On a Fixed Point Theorem with Application to Integral Equations
    Nazam, Muhammad
    Arshad, Andmuhammad
    INTERNATIONAL JOURNAL OF ANALYSIS, 2016,
  • [12] Existence of a common solution of an integral equations system by (ψ,α,β)-weakly contractions
    Parvaneh Lo’lo’
    Seiyed Mansour Vaezpour
    Reza Saadati
    Choonkil Park
    Journal of Inequalities and Applications, 2014
  • [13] Existence of a common solution of an integral equations system by (ψ, α, β)-weakly contractions
    Lo'lo, Parvaneh
    Vaezpour, Seiyed Mansour
    Saadati, Reza
    Park, Choonkil
    JOURNAL OF INEQUALITIES AND APPLICATIONS, 2014,
  • [14] AN EXISTENCE RESULT FOR FUNCTIONAL INTEGRAL EQUATIONS VIA PETRYSHYN'S FIXED POINT THEOREM
    Deep, Amar
    Kumar, Ashish
    Abbas, Syed
    Hazarika, Bipan
    JOURNAL OF INTEGRAL EQUATIONS AND APPLICATIONS, 2022, 34 (02) : 165 - 181
  • [15] On existence of solutions for some functional integral equations in Banach algebra by fixed point theorem
    Kazemi, Manochehr
    INTERNATIONAL JOURNAL OF NONLINEAR ANALYSIS AND APPLICATIONS, 2022, 13 (01): : 451 - 466
  • [16] Existence of Solutions: Investigating Fredholm Integral Equations via a Fixed-Point Theorem
    Ozger, Faruk
    Temizer Ersoy, Merve
    Ozger, Zeynep Odemis
    AXIOMS, 2024, 13 (04)
  • [17] An existence theorem for nonlinear functional Volterra integral equations via Petryshyn's fixed point theorem
    Singh, Soniya
    Kumar, Satish
    Metwali, Mohamed M. A.
    Aldosary, Saud Fahad
    Nisar, Kottakkaran S.
    AIMS MATHEMATICS, 2022, 7 (04): : 5594 - 5604
  • [18] Existence of solution of an infinite system of generalized fractional differential equations by Darbo's fixed point theorem
    Seemab, Arjumand
    Rehman, Mujeeb Ur
    JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2020, 364
  • [19] Monch?s fixed point theorem in investigating the existence of a solution to a system of sequential fractional differential equations
    Al Elaiw, Abeer
    Manigandan, Murugesan
    Awadalla, Muath
    Abuasbeh, Kinda
    AIMS MATHEMATICS, 2022, 8 (02): : 2591 - 2610
  • [20] Existence of unique common solution to the system of non-linear integral equations via fixed point results in incomplete metric spaces
    Mian Bahadur Zada
    Muhammad Sarwar
    Stojan Radenović
    Journal of Inequalities and Applications, 2017
12345