On monotone pointwise contractions in Banach spaces with a graph

被引:0
作者
Monther Rashed Alfuraidan
机构
[1] King Fahd University of Petroleum and Minerals,Department of Mathematics and Statistics
来源
Fixed Point Theory and Applications | / 2015卷
关键词
approximate fixed point sequence; fixed point; graph; monotone mapping; Opial property; pointwise contraction; 47H09; 46B20; 47H10; 47E10;
D O I
暂无
中图分类号
学科分类号
摘要
In this work, we give a new definition of G-monotone pointwise contraction mappings in metric spaces endowed with a graph. Then we obtain sufficient conditions for the existence of a fixed point for such mappings. The proofs are based on the crucial inequality (GK).
引用
收藏
相关论文
共 20 条
[1]  
Kirk WA(2003)Fixed points of asymptotic contractions J. Math. Anal. Appl. 277 645-650
[2]  
Kirk WA(2008)Asymptotic pointwise contractions Nonlinear Anal. 69 4706-4712
[3]  
Xu H-K(2008)A convergence theorem for asymptotic contractions J. Fixed Point Theory Appl. 4 27-33
[4]  
Reich S(2009)On asymptotic pointwise contractions in metric spaces Nonlinear Anal., Theory Methods Appl. 71 4423-4429
[5]  
Zaslavski AJ(2004)A fixed point theorem in partially ordered sets and some applications to matrix equations Proc. Am. Math. Soc. 132 1435-1443
[6]  
Hussain N(2005)Contractive mapping theorems in partially ordered sets and applications to ordinary differential equations Order 22 223-239
[7]  
Khamsi MA(2007)The contraction principle for mappings on a metric space with a graph Proc. Am. Math. Soc. 136 1359-1373
[8]  
Ran ACM(2015)Remarks on monotone multivalued mappings on a metric space with a graph J. Inequal. Appl. 2015 567-572
[9]  
Reurings MCB(1970)Mappings of generalized contractive type J. Math. Anal. Appl. 32 307-327
[10]  
Nieto JJ(2011)Fixed point theorems for singlevalued and multivalued generalized contractions in metric spaces endowed with a graph Georgian Math. J. 18 115-123