Common fixed point theorems for non-self-mappings in metric spaces of hyperbolic type

被引：11

作者：

Ciric, Ljubomir ^{[1
]}

Rakocevic, Vladimir ^{[2
]}

Radenovic, Stojan ^{[1
]}

Rajovic, Miloje ^{[3
]}

Lazovic, Rade ^{[4
]}

机构：

[1] Fac Mech Engn, Belgrade 11000, Serbia

[2] Fac Sci & Math, Nish 18000, Serbia

[3] Fac Mech Engn, Kraljevo 36000, Serbia

[4] Fac Org Sci, Belgrade 11000, Serbia

来源：

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS | 2010年 / 233卷 / 11期

关键词：

Coincidence point; Common fixed point; Coincidentally commuting mapping; Metric space of hyperbolic type; Complete metric space; NONSELF-MAPPINGS; CONTRACTIVE TYPE; PAIR;

D O I：

10.1016/j.cam.2009.11.042

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, the concept of a pair of non-linear contraction type mappings in a metric space of hyperbolic type is introduced and the conditions guaranteeing the existence of a common fixed point for such non-linear contractions are established. Presented results generalize and improve some of the known results. An example is constructed to show that our theorems are genuine generalizations of the main theorems of Assad, Ciric, Khan et al., Rhoades and Imdad and Kumar. One of the possible applications of our results is also presented. (C) 2009 Elsevier B.V. All rights reserved.

引用

页码：2966 / 2974

页数：9

共 21 条

[1] FIXED-POINT THEOREMS FOR SET-VALUED MAPPINGS OF CONTRACTIVE TYPE [J].