Common fixed point theorems for two pairs of self-mappings in partial metric space using C-class functions on (psi, phi)-contractive condition

被引：2

作者：

Mustafa, Zead ^{[1
,2
]}

Jaradat, M. M. M. ^{[1
]}

Ansari, Arslan ^{[3
]}

Gu, Feng ^{[4
,5
]}

Zheng, Hui-hui ^{[4
,5
]}

Radenovic, Stojan ^{[6
]}

Bataineh, M. S. ^{[7
]}

机构：

[1] Qatar Univ, Dept Math Stat & Phys, Doha, Qatar

[2] Hashemite Univ, Dept Math, Zarqa 13133, Jordan

[3] Islamic Azad Univ, Dept Math, Karaj Branch, Karaj, Iran

[4] Hangzhou Normal Univ, Inst Appl Math, Hangzhou 310036, Zhejiang, Peoples R China

[5] Hangzhou Normal Univ, Dept Math, Hangzhou 310036, Zhejiang, Peoples R China

[6] Univ Belgrade, Fac Mech Engn, Belgrade, Serbia

[7] Univ Sharjah, Dept Math, Sharjah, U Arab Emirates

来源：

JOURNAL OF MATHEMATICS AND COMPUTER SCIENCE-JMCS | 2018年 / 18卷 / 02期

关键词：

(psi; phi)-Contractive mapping; common fixed point; coincidence point; partial metric space; weakly compatible mappings; C-class functions; integral equations;

D O I：

10.22436/jmcs.018.02.09

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The purpose of this paper is to introduce common fixed point results for two pairs of weakly compatible self-mappings in partial metric space using C-class functions on (psi, phi)-contractive condition. Example and application on integral equations are presented to illustrate the main result. Our results extend and generalize well know results in the literature.

引用

页码：216 / 231

页数：16

共 32 条

[1] Existence and uniqueness of a common fixed point on partial metric spaces [J].

Abdeljawad, T. ;

Karapinar, E. ;

Tas, K. .

APPLIED MATHEMATICS LETTERS, 2011, 24 (11) :1900-1904

[2]

Abdullah, 2017, J MATH ANAL, V8, P136

[3]

Ansari A.H., 2014, 2 REG C MATH APPL PN, P377, DOI DOI 10.2298/FIL1403635A

[4]

Aydi H., 2011, J NONLINEAR SCI APPL, V4, P210

[5]

Aydi H, 2011, J NONLINEAR ANAL OPT, V2, P269

[6]

Bejenaru A, 2016, J MATH ANAL, V7, P25

[7] Common fixed points of generalized contractions on partial metric spaces and an application [J].

Ciric, Ljubomir ;

Samet, Bessem ;

Aydi, Hassen ;

Vetro, Calogero .

APPLIED MATHEMATICS AND COMPUTATION, 2011, 218 (06) :2398-2406

[8] A fixed point theorem for (φ, L)-weak contraction mappings on a partial metric space [J].

Erduran, Ali ;

Kadelburg, Z. ;

Nashine, H. K. ;

Vetro, C. .

JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS, 2014, 7 (03) :196-204

[9] Some new extensions of Banach's contraction principle to partial metric space [J].

Ilic, Dejan ;

Pavlovic, Vladimir ;

Rakocevic, Vladimir .

APPLIED MATHEMATICS LETTERS, 2011, 24 (08) :1326-1330

[10] Some approximate fixed point results and application on graph theory for partial (h-F)-generalized convex contraction mappings with special class of functions on complete metric space [J].

Jaradat, M. M. M. ;

Mustafa, Zead ;

Ansari, Arslan Hojat ;

Chandok, Sumit ;

Dolicanin, Cemal .

JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS, 2017, 10 (04) :1695-1708

← 1 2 3 4 →