A New Approach for the Approximations of Solutions to a Common Fixed Point Problem in Metric Fixed Point Theory

被引：11

作者：

Altun, Ishak ^{[1
,2
,3
]}

Al Arifi, Nassir

Jleli, Mohamed ^{[4
]}

Lashin, Aref ^{[5
,6
]}

Samet, Bessem ^{[4
]}

机构：

[1] King Saud Univ, Coll Sci, Riyadh, Saudi Arabia

[2] Kirikkale Univ, Fac Sci & Arts, Dept Math, TR-71450 Yahsihan, Kirikkale, Turkey

[3] King Saud Univ, Coll Sci, Dept Geol & Geophys, Riyadh 11451, Saudi Arabia

[4] King Saud Univ, Coll Sci, Dept Math, POB 2455, Riyadh 11451, Saudi Arabia

[5] King Saud Univ, Coll Engn, Petr & Nat Gas Engn Dept, Riyadh 11421, Saudi Arabia

[6] Benha Univ, Fac Sci, Dept Geol, Banha 13518, Egypt

来源：

JOURNAL OF FUNCTION SPACES | 2016年 / 2016卷

关键词：

EXISTENCE;

D O I：

10.1155/2016/6759320

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We provide sufficient conditions for the existence of a unique common fixed point for a pair of mappings T,S : X > X where X is a nonempty set endowed with a certain metric. Moreover, a numerical algorithm is presented in order to approximate such solution. Our approach is different to the usual used methods in the literature.

引用

页数：5

共 10 条

[1] Existence results for a coupled system of nonlinear fractional differential equations with three-point boundary conditions [J].

Ahmad, Bashir ;

Nieto, Juan J. .

COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2009, 58 (09) :1838-1843

[2]

Berinde V., 1997, CONTRACTII GENERALIZ, V22

[3] Common fixed point theorems for families of occasionally weakly compatible mappings [J].

Ciric, Ljubomir ;

Samet, Bessem ;

Vetro, Calogero .

MATHEMATICAL AND COMPUTER MODELLING, 2011, 53 (5-6) :631-636

[4] COMMON FIXED POINT THEOREMS FOR MULTI-VALUED MAPS [J].

Damjanovic, Bosko ;

Samet, Bessem ;

Vetro, Calogero .

ACTA MATHEMATICA SCIENTIA, 2012, 32 (02) :818-824

[5] Existence of a positive solution to systems of differential equations of fractional order [J].

Goodrich, Christopher S. .

COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2011, 62 (03) :1251-1268

[6] Existence of positive solutions to a coupled system of fractional differential equations [J].

Jleli, Mohamed ;

Samet, Bessem .

MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2015, 38 (06) :1014-1031

[7]

Jungck G., 1986, Int. J. Math. Sci., V9, P771, DOI DOI 10.1155/S0161171286000935

[8] Existence results for a coupled system of nonlinear neutral fractional differential equations [J].

Liu, Sanyang ;

Wang, Guotao ;

Zhang, Lihong .

APPLIED MATHEMATICS LETTERS, 2013, 26 (12) :1120-1124

[9] FIXED POINT THEOREMS IN PARTIALLY ORDERED METRIC SPACES AND EXISTENCE RESULTS FOR INTEGRAL EQUATIONS [J].

Nashine, Hemant Kumar ;

Samet, Bessem ;

Vetro, Calogero .

NUMERICAL FUNCTIONAL ANALYSIS AND OPTIMIZATION, 2012, 33 (11) :1304-1320

[10] Boundary value problem for a coupled system of nonlinear fractional differential equations [J].

Su, Xinwei .

APPLIED MATHEMATICS LETTERS, 2009, 22 (01) :64-69

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