Cyclic generalized contractions and fixed point results with applications to an integral equation

被引：18
|
作者：
Nashine, Hemant Kumar [1 ]
Sintunavarat, Wutiphol [2 ]
Kumam, Poom [2 ]
机构：
[1] Disha Inst Management & Technol, Dept Math, Raipur 492101, Chhattisgarh, India
[2] King Mongkuts Univ Technol Thonburi KMUTT, Dept Math, Fac Sci, Bangkok 10140, Thailand
来源：
FIXED POINT THEORY AND APPLICATIONS | 2012年
关键词：
fixed point; cyclic generalized (F; psi; L)-contraction; integral equation; THEOREMS;
D O I：
10.1186/1687-1812-2012-217
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We set up a new variant of cyclic generalized contractive mappings for a map in a metric space and present existence and uniqueness results of fixed points for such mappings. Our results generalize or improve many existing fixed point theorems in the literature. To illustrate our results, we give some examples. At the same time as applications of the presented theorems, we prove an existence theorem for solutions of a class of nonlinear integral equations.
引用
收藏
页数：13
相关论文
共 50 条
  • [1] Cyclic generalized contractions and fixed point results with applications to an integral equation
    Hemant Kumar Nashine
    Wutiphol Sintunavarat
    Poom Kumam
    [J]. Fixed Point Theory and Applications, 2012
  • [2] Fixed point results for generalized (α-η)-Θ contractions with applications
    Hussain, Nawab
    Al-Mazrooei, Abdullah Eqal
    Ahmad, Jamshaid
    [J]. JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS, 2017, 10 (08): : 4197 - 4208
  • [3] Fixed point results for cyclic α-Ψφ-contractions with application to integral equations
    Salimi, P.
    Hussain, N.
    Shukla, S.
    Fathollahi, Sh
    Radenovic, S.
    [J]. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2015, 290 : 445 - 458
  • [4] Generalized Fixed-Point Results for Almost (α, Fσ)-Contractions with Applications to Fredholm Integral Inclusions
    Al-Mezel, Saleh Abdullah
    Ahmad, Jamshaid
    [J]. SYMMETRY-BASEL, 2019, 11 (09):
  • [5] Cyclic generalized ψ-weakly contractive mappings and fixed point results with applications to integral equations
    Nashine, Hemant Kumar
    [J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2012, 75 (16) : 6160 - 6169
  • [6] Fixed point results for generalized contractions in gauge spaces and applications
    Frigon, M
    [J]. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2000, 128 (10) : 2957 - 2965
  • [7] Fixed point results for generalized Θ-contractions
    Ahmad, Jamshaid
    Al-Mazrooei, Abdullah E.
    Cho, Yeol Je
    Yang, Young-Oh
    [J]. JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS, 2017, 10 (05): : 2350 - 2358
  • [8] Fixed point results for generalized contractions in controlled metric spaces with applications
    Ma, Zhenhua
    Ahmad, Jamshaid
    Al-Mazrooei, Abdullah Eqal
    [J]. AIMS MATHEMATICS, 2022, 8 (01): : 529 - 549
  • [9] Fixed point results for generalized almost contractions and application to a nonlinear matrix equation
    Prasad, Koti N. V. V. V.
    Mishra, Vinay
    Mitrovic, Zoran D.
    Aloqaily, Ahmad
    Mlaiki, Nabil
    [J]. AIMS MATHEMATICS, 2024, 9 (05): : 12287 - 12304
  • [10] On Fixed-Point Results of Generalized Contractions
    Kanwal, Shazia
    Hanif, Umair
    Noorwali, Maha Eshaq
    Alam, Md. Ashraful
    [J]. JOURNAL OF FUNCTION SPACES, 2022, 2022
12345