COMMON COUPLED FIXED FOINT THEOREMS FOR NONLINEAR CONTRACTIVE CONDITION ON INTUITIONISTIC FUZZY METRIC SPACES WITH APPLICATION TO INTEGRAL EQUATIONS

被引:3
作者
Deshpande, Bhavana [1 ]
Sharma, Sushil [2 ]
Handa, Amrish [3 ]
机构
[1] Govt Arts & Sci PG Coll, Dept Math, Ratlam 457001, MP, India
[2] Govt PG Madhav Sci Coll, Dept Math, Ujjain, Madhya Pradesh, India
[3] Govt PG Arts & Sci Coll, Ratlam 457001, MP, India
来源
JOURNAL OF THE KOREAN SOCIETY OF MATHEMATICAL EDUCATION SERIES B-PURE AND APPLIED MATHEMATICS | 2013年 / 20卷 / 03期
关键词
coupled coincidence point; coupled fixed point; intuitionistic fuzzy metric space; compatible mappings;
D O I
10.7468/jksmeb.2013.20.3.159
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
We establish a common fixed point theorem for mappings under phi-contractive conditions on intuitionistic fuzzy metric spaces. As an application of our result we study the existence and uniqueness of the solution to a nonlinear Fredholm integral equation. We also give an example to validate our result.
引用
收藏
页码:159 / 180
页数:22
相关论文
共 50 条
  • [21] COMMON COUPLED FIXED POINT THEOREMS FOR GENERALIZED NONLINEAR CONTRACTIONS ON METRIC SPACES INVOLVING A GRAPH
    Yolacan, Esra
    Debnath, Pradip
    Akturk, Mehmet Ali
    SIGMA JOURNAL OF ENGINEERING AND NATURAL SCIENCES-SIGMA MUHENDISLIK VE FEN BILIMLERI DERGISI, 2018, 36 (02): : 419 - 432
  • [22] Common fixed points of maps on intuitionistic fuzzy metric spaces
    Park, Jin Han
    Park, Jong Seo
    Kwun, Young Chel
    FUZZY INFORMATION AND ENGINEERING, PROCEEDINGS, 2007, 40 : 216 - +
  • [23] Nonlinear coupled coincidence and coupled fixed point theorems for not necessary commutative contractive mappings in partially ordered probabilistic metric spaces
    Doric, Dragan
    APPLIED MATHEMATICS AND COMPUTATION, 2013, 219 (11) : 5926 - 5935
  • [24] Nonlinear coupled fixed point theorems in ordered generalized metric spaces with integral type
    Cho, Yeol Je
    Rhoades, Billy E.
    Saadati, Reza
    Samet, Bessem
    Shatanawi, Wasfi
    FIXED POINT THEORY AND APPLICATIONS, 2012,
  • [25] Nonlinear coupled fixed point theorems in ordered generalized metric spaces with integral type
    Yeol Je Cho
    Billy E Rhoades
    Reza Saadati
    Bessem Samet
    Wasfi Shatanawi
    Fixed Point Theory and Applications, 2012
  • [26] Nonlinear mixed monotone-generalized contractions on partially ordered modified intuitionistic fuzzy metric spaces with application to integral equations
    Deshpande B.
    Handa A.
    Afrika Matematika, 2015, 26 (3-4) : 317 - 343
  • [27] Fixed points of (ψ,ϕ,θ)-contractive mappings in partially ordered b-metric spaces and application to quadratic integral equations
    Asadollah Aghajani
    Reza Arab
    Fixed Point Theory and Applications, 2013
  • [28] Fixed points of (ψ,φ,θ)-contractive mappings in partially ordered b-metric spaces and application to quadratic integral equations
    Aghajani, Asadollah
    Arab, Reza
    FIXED POINT THEORY AND APPLICATIONS, 2013,
  • [29] Coupled fixed point theorems for contractions in fuzzy metric spaces
    Sedghi, Shaban
    Altun, Ishak
    Shobe, Nabi
    NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2010, 72 (3-4) : 1298 - 1304
  • [30] Fixed point theorems for contractive and weakly compatible mapping in complete intuitionistic fuzzy metric space
    Vaibhav Sharma
    Mahesh Chandra Joshi
    Sanjay Kumar
    The Journal of Analysis, 2021, 29 : 1375 - 1390