A fixed point theorem in a lattice ordered semigroup cone valued cone metric spaces

被引：1
|
作者：
Sastry, K. P. R.
Rao, Ch. Srinivasa [1 ]
Sekhar, A. Chandra [2 ]
Balaiah, M. [3 ]
机构：
[1] Mrs AVN Coll, Dept Math, Visakhapatnam 530001, Andhra Pradesh, India
[2] Gitam Univ, GIT, Dept Math, Visakhapatnam 530045, Andhra Pradesh, India
[3] Srinivasa Inst Engn & Technol, Dept Math, Amalapuram 533222, India
来源：
JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS | 2013年 / 6卷 / 04期
关键词：
Cone metric space; Comparison function; Lattice ordered semigroup; l.o.s.g; cone; Coincidence point; Fixed point; CONTRACTION;
D O I：
10.22436/jnsa.006.04.06
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we introduce the notion of a cone which is a lattice ordered semigroup (l.o.s.g. cone) in a real Banach space, obtain certain preliminary results on such cones and obtain a fixed point theorem on a cone metric space with l.o.s.g. cone which eventually extends a result of Filipovic et. al. [M. Filipovic, L. Paunovic, S. Radenovic and M. Rajovic, Math. Compu. Model. 54 (2011), 1467-1472] to cone metric spaces equipped with l.o.s.g. cone.(C)2013 All rights reserved.
引用
收藏
页码：285 / 292
页数：8
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