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

页码：229 / 245

页数：17

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