Two Fixed Point Theorems Concerning F-Contraction in Complete Metric Spaces

被引：35
作者：
Popescu, Ovidiu [1 ]
Stan, Gabriel [1 ]
机构：
[1] Transilvania Univ Brasov, Dept Math & Comp Sci, Brasov 500036, Romania
来源：
SYMMETRY-BASEL | 2020年 / 12卷 / 01期
关键词：
banach principle; fixed point; metric space; F-contraction; MAPPINGS;
D O I：
10.3390/sym12010058
中图分类号：
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号：
07 ; 0710 ; 09 ;
摘要：
In this paper, we generalize some results of Wardowski (Fixed Point Theory Appl. 2012:94, 2012), Cosentino and Vetro (Filomat 28:4, 2014), and Piri and Kumam (Fixed Point Theory Appl. 2014:210, 2014) theories by applying some weaker symmetrical conditions on the self map of a complete metric space and on the mapping F, concerning the contractions defined by Wardowski.
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页数：10
相关论文
共 31 条
[1]   Generalized Contraction and Invariant Approximation Results on Nonconvex Subsets of Normed Spaces [J].
Abbas, Mujahid ;
Ali, Basit ;
Romaguera, Salvador .
ABSTRACT AND APPLIED ANALYSIS, 2014,
[2]   Fixed and periodic points of generalized contractions in metric spaces [J].
Abbas, Mujahid ;
Ali, Basit ;
Romaguera, Salvador .
FIXED POINT THEORY AND APPLICATIONS, 2013,
[3]   A Fixed Point Theorem for Multivalued Mappings with δ-Distance [J].
Acar, Ozlem ;
Altun, Ishak .
ABSTRACT AND APPLIED ANALYSIS, 2014,
[4]   ON A NEW CLASS OF MULTIVALUED WEAKLY PICARD OPERATORS ON COMPLETE METRIC SPACES [J].
Altun, Ishak ;
Olgun, Murat ;
Minak, Gulhan .
TAIWANESE JOURNAL OF MATHEMATICS, 2015, 19 (03) :659-672
[5]  
[Anonymous], 2014, Theory Appl. Math. Comput. Sci
[6]  
[Anonymous], 2014, Journal of the Egyptian Mathematical Society, DOI DOI 10.1016/J.JOEMS.2013.06.010
[7]  
Banach S., 1922, Fundamenta Mathematicae, V3, P133, DOI [10.4064/fm-3-1-133-181, DOI 10.4064/FM-3-1-133-181]
[8]  
Batra R., 2014, Int. Journal of Math. Analysis, V8, P1315
[9]  
Batra R., 2013, J NONLIN ANAL APPL, V2013, pjnaa, DOI [10.5899/2013/jnaa-00211, DOI 10.5899/2013/JNAA-00211]
[10]   Fixed points of an F-contraction on metric spaces with a graph [J].
Batra, Rakesh ;
Vashistha, Sachin .
INTERNATIONAL JOURNAL OF COMPUTER MATHEMATICS, 2014, 91 (12) :2483-2490
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