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

页码：159 / 180

页数：22

共 50 条

[41] Coupled Fixed Point Theorems for New Contractive Mixed Monotone Mappings and Applications to Integral Equations
Isik, Huseyin
Turkoglu, Duran
FILOMAT, 2014, 28 (06) : 1253 - 1264
[42] Coupled fixed point theorems for generalized contractive mappings in partially ordered G-metric spaces
Rabian Wangkeeree
Thanatporn Bantaojai
Fixed Point Theory and Applications, 2012
[43] 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
[44] Coupled fixed point theorems for generalized contractive mappings in partially ordered G-metric spaces
Wangkeeree, Rabian
Bantaojai, Thanatporn
FIXED POINT THEORY AND APPLICATIONS, 2012,
[45] COINCIDENCE POINT AND COMMON FIXED POINT THEOREMS IN PRODUCT SPACES: APPLICATIONS TO COUPLED FIXED POINT THEOREMS AND SYSTEM OF INTEGRAL EQUATIONS
Wu, Hsien-Chung
JOURNAL OF NONLINEAR AND CONVEX ANALYSIS, 2012, 13 (03) : 575 - 598
[46] Some new common fixed point theorems in fuzzy metric spaces
Gopal D.
Imdad M.
ANNALI DELL'UNIVERSITA' DI FERRARA, 2011, 57 (2) : 303 - 316
[47] New coupled fixed point theorems in cone metric spaces with applications to integral equations and Markov process
Kumar, D. Ramesh
Pitchaimani, M.
TRANSACTIONS OF A RAZMADZE MATHEMATICAL INSTITUTE, 2018, 172 (03) : 409 - 419
[48] Solution of integral equations via coupled fixed point theorems in F-complete metric spaces
Mani, Gunaseelan
Gnanaprakasam, Arul Joseph
Lee, Jung Rye
Park, Choonkil
OPEN MATHEMATICS, 2021, 19 (01): : 1223 - 1230
[49] Note on "Coupled fixed point theorems for contractions in fuzzy metric spaces"
Zhu, Xing-Hua
Xiao, Jian-Zhong
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2011, 74 (16) : 5475 - 5479
[50] Generalization and Properties of κ-Intuitionistic Fuzzy Metric Spaces with Applications to Fixed-Point Theorems
Vinoth, R.
Jayalakshmi, M.
CONTEMPORARY MATHEMATICS, 2025, 6 (01): : 903 - 922

← 1 2 3 4 5 →