FIXED POINTS OF A PAIR OF KANNAN TYPE MAPPINGS ON A CLOSED BALL IN ORDERED PARTIAL METRIC SPACES

被引:18
作者
Arshad, Muhammad [1 ]
Shoaib, Abdullah [1 ]
Abbas, Mujahid [2 ,3 ]
Azam, Akbar [4 ]
机构
[1] Int Islamic Univ, Dept Math, Islamabad 44000, Pakistan
[2] Lahore Univ Management Sci, Ctr Adv Studies Math, Lahore 54792, Pakistan
[3] Lahore Univ Management Sci, Dept Math, Lahore 54792, Pakistan
[4] COMSATS Inst Informat Technol, Dept Math, Islamabad 44000, Pakistan
关键词
unique common fixed point; Kannan mapping; closed ball; dominated mapping; partial metric spaces;
D O I
10.18514/MMN.2013.722
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
Unique common fixed point results for mappings satisfying locally contractive conditions on a closed ball in a complete ordered partial metric space have been established. The notion of dominated mappings of Economics, Finance, Trade and Industry is also been applied to approximate the unique solution to non linear functional equations. Our results improve some well-known, primary and conventional results.
引用
收藏
页码:769 / 784
页数:16
相关论文
共 23 条
[1]   Finding solutions of implicit complementarity problems by isotonicity of the metric projection [J].
Abbas, M. ;
Nemeth, S. Z. .
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2012, 75 (04) :2349-2361
[2]  
Altun I., 2008, J. Adv. Math. Stud., V1, P1
[3]   Fixed Point Theorems for Monotone Mappings on Partial Metric Spaces [J].
Altun, Ishak ;
Erduran, Ali .
FIXED POINT THEORY AND APPLICATIONS, 2011,
[4]   Generalized contractions on partial metric spaces [J].
Altun, Ishak ;
Sola, Ferhan ;
Simsek, Hakan .
TOPOLOGY AND ITS APPLICATIONS, 2010, 157 (18) :2778-2785
[5]  
[Anonymous], 2011, J NONLINEAR SCI APPL
[6]   Fixed point of a pair of contractive dominated mappings on a closed ball in an ordered dislocated metric space [J].
Arshad, Muhammad ;
Shoaib, Abdullah ;
Beg, Ismat .
FIXED POINT THEORY AND APPLICATIONS, 2013,
[7]   Some Common Fixed Point Results in Cone Metric Spaces [J].
Arshad, Muhammad ;
Azam, Akbar ;
Vetro, Pasquale .
FIXED POINT THEORY AND APPLICATIONS, 2009,
[8]  
Azam A, 2009, B IRAN MATH SOC, V35, P255
[9]  
Azam A., 2008, J. Nonlinear Sci. Appl, V1, P45, DOI [10.22436/jnsa.001.01.07, DOI 10.22436/JNSA.001.01.07]
[10]  
Azam A., 2013, FIXED POINT THEORY A, V2013, P4