Fixed Point and Common Fixed Point Results for Contraction Mappings in G(b) - Cone Metric Spaces

被引:0
作者
Ughade, Manoj [1 ]
Daheriya, R. D. [2 ]
机构
[1] Sarvepalli Radhakrishnan Univ, Dept Math, POB 462026, Bhopal, Madhya Pradesh, India
[2] Govt JH Post Grad Coll, Dept Math, Betul, Madhya Pradesh, India
来源
GAZI UNIVERSITY JOURNAL OF SCIENCE | 2015年 / 28卷 / 04期
关键词
G(b) -cone metric spaces; normal cones; non-normal cones; contraction; fixed points;
D O I
暂无
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
The intent of this paper is to introduce the concept of G(b)-cone metric and we describe some basic properties of such metric. Further, we establish some fixed point theorems for self-mappings satisfying the contractive type conditions and a common fixed theorem for two weakly compatible self-mappings satisfying the contractive condition in G(b)-cone metric spaces without the assumption of normality. Moreover, some examples are provided to illustrate the usability of the obtained results.
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页码:659 / 673
页数:15
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