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

JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS

卷:233

Article

Ciric, Ljubomir¹  Rakocevic, Vladimir²  Radenovic, Stojan¹  Rajovic, Miloje³  Lazovic, Rade⁴ 

[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

关键词: Coincidence point;    Common fixed point;    Coincidentally commuting mapping;    Metric space of hyperbolic type;    Complete metric space;   

DOI  :  10.1016/j.cam.2009.11.042

来源: Elsevier

【 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.

【 授权许可】

Free