SOME COMMON FIXED POINT RESULTS FOR RATIONAL TYPE CONTRACTION MAPPINGS IN PARTIALLY ORDERED METRIC SPACES

被引：0
作者：
Chandok, Sumit [1 ]
机构：
[1] Punjab Tech Univ, Dept Math, Khalsa Coll Engn & Technol, Ranjit Ave, Amritsar 143001, Punjab, India
来源：
MATHEMATICA BOHEMICA | 2013年 / 138卷 / 04期
关键词：
common fixed point; rational type contraction mapping; compatible mapping; weakly compatible mapping; ordered metric space;
D O I：
暂无
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
The purpose of this paper is to establish some common fixed point results for f-nondecreasing mappings which satisfy some nonlinear contractions of rational type in the framework of metric spaces endowed with a partial order. Also, as a consequence, a result of integral type for such class of mappings is obtained. The proved results generalize and extend some of the results of J. Harjani, B. Lopez, K. Sadarangani (2010) and D. S. Jaggi (1977).
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页码：407 / 413
页数：7
相关论文
共 11 条
[1]   Generalized contractions in partially ordered metric spaces [J].
Agarwal, Ravi P. ;
El-Gebeily, M. A. ;
O'Regan, Donal .
APPLICABLE ANALYSIS, 2008, 87 (01) :109-116
[2]   Fixed point theorems in partially ordered metric spaces and applications [J].
Bhaskar, T. Gnana ;
Lakshmikantham, V. .
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2006, 65 (07) :1379-1393
[3]  
Branciari A, 2002, INT J MATH MATH SCI, V29, P531
[4]  
Chandok S, 2013, J NONLINEAR ANAL OPT, V4, P45
[5]  
Chandok S, 2013, MAT VESTN, V65, P29
[6]  
Chandok Sumit, 2011, Journal of Applied Mathematics and Informatics, V29, P257
[7]   Some common fixed point theorems for generalized nonlinear contractive mappings [J].
Chandok, Sumit .
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2011, 62 (10) :3692-3699
[8]   A Fixed Point Theorem for Mappings Satisfying a Contractive Condition of Rational Type on a Partially Ordered Metric Space [J].
Harjani, J. ;
Lopez, B. ;
Sadarangani, K. .
ABSTRACT AND APPLIED ANALYSIS, 2010,
[9]  
Jaggi D.S., 1977, INDIAN J PURE AP MAT, V8, P223
[10]   Contractive mapping theorems in partially ordered sets and applications to ordinary differential equations [J].
Nieto, JJ ;
Rodríguez-López, R .
ORDER-A JOURNAL ON THE THEORY OF ORDERED SETS AND ITS APPLICATIONS, 2005, 22 (03) :223-239
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