Common fixed point theorems for weakly isotone increasing mappings in ordered b-metric spaces

被引：40
|
作者：
Roshan, Jamal Rezaei [1 ]
Parvaneh, Vahid [2 ]
Kadelburg, Zoran [3 ]
机构：
[1] Islamic Azad Univ, Dept Math, Qaemshahr Branch, Qaemshahr, Iran
[2] Islamic Azad Univ, Dept Math, Gilan E Gharb Branch, Gilan E Gharb, Iran
[3] Univ Belgrade, Fac Math, Belgrade 11000, Serbia
来源：
JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS | 2014年 / 7卷 / 04期
关键词：
Common fixed point; b-metric space; partially ordered set; weakly isotone increasing mappings; CONTRACTIVE MAPPINGS;
D O I：
10.22436/jnsa.007.04.01
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The aim of this paper is to present some common fixed point theorems for g-weakly isotone increasing mappings satisfying a generalized contractive type condition under a continuous function in the framework of ordered b-metric spaces. Our results extend the results of Nashine et al. [H. K. Nashine, B. Samet, C. Vetro, Monotone generalized nonlinear contractions and fixed point theorems in ordered metric spaces, Math. Comput. Modelling 54 (2011) 712-720] from the context of ordered metric spaces to the setting of ordered b-metric spaces. Moreover, some examples of applications of the main result are given. Finally, we establish an existence theorem for a solution of an integral equation. (C)2014 All rights reserved.
引用
收藏
页码：229 / 245
页数：17
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