Common fixed point theorems under weakly Hardy-Rogers-type contraction conditions in ordered orbitally complete metric spaces

被引:5
作者
Nashine, Hemant Kumar [1 ]
Kadelburg, Zoran [2 ]
机构
[1] Disha Inst Management & Technol, Dept Math, Raipur 492101, Chhattisgarh, India
[2] Univ Belgrade, Fac Math, Beograd 11000, Serbia
关键词
Common fixed point; Altering distance function; Weakly contractive condition; Partially ordered set; Asymptotically regular map; Orbitally continuous map; Orbitally complete metric space; MAPPINGS; EQUATIONS; MAPS; SETS; (PSI;
D O I
10.1007/s13398-012-0106-2
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
Common fixed point results are derived under generalized weakly contractive conditions of Hardy-Rogers-type for two and three mappings defined on an ordered orbitally complete metric space using orbital continuity of one of the involved maps. Suitable examples are furnished to demonstrate the validity of the hypotheses of our results.
引用
收藏
页码:377 / 395
页数:19
相关论文
共 31 条
[11]   Common fixed point for generalized (ψ, φ)-weak contractions [J].
Doric, Dragan .
APPLIED MATHEMATICS LETTERS, 2009, 22 (12) :1896-1900
[12]   A Generalisation of Contraction Principle in Metric Spaces [J].
Dutta, P. N. ;
Choudhury, Binayak S. .
FIXED POINT THEORY AND APPLICATIONS, 2008, 2008 (1)
[13]   GENERALIZATION OF A FIXED-POINT THEOREM OF REICH [J].
HARDY, GE ;
ROGERS, TD .
CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES, 1973, 16 (02) :201-206
[14]   Generalized contractions in partially ordered metric spaces and applications to ordinary differential equations [J].
Harjani, J. ;
Sadarangani, K. .
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2010, 72 (3-4) :1188-1197
[15]   Fixed point theorems for weakly contractive mappings in partially ordered sets [J].
Harjani, J. ;
Sadarangani, K. .
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2009, 71 (7-8) :3403-3410
[16]   FIXED-POINT THEOREMS BY ALTERING DISTANCES BETWEEN THE POINTS [J].
KHAN, MS ;
SWALEH, M ;
SESSA, S .
BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY, 1984, 30 (01) :1-9
[17]  
Nashine H.K., FILOMAT UNPUB
[18]  
Nashine H. K., 2012, J NONLINEAR IN PRESS
[19]   New fixed point theorems for mappings satisfying a generalized weakly contractive condition with weaker control functions [J].
Nashine, Hemant Kumar .
ANNALES POLONICI MATHEMATICI, 2012, 104 (02) :109-119
[20]   Fixed Point Theorems for Generalized Weakly Contractive Condition in Ordered Metric Spaces [J].
Nashine, Hemant Kumar ;
Altun, Ishak .
FIXED POINT THEORY AND APPLICATIONS, 2011,