Unified fixed point theorems in fuzzy metric spaces via common limit range property

被引：14

作者：

Chauhan, Sunny ^{[1
,2
]}

Khan, Muhammad Alamgir ^{[3
]}

Kumar, Suneel ^{[1
]}

机构：

[1] RH Govt Postgrad Coll, Kashipur 244713, Uttarakhand, India

[2] Near Nehru Training Ctr, Bijnor 246701, Uttar Pradesh, India

[3] Univ Kurdistan, Dept nat Resources Engn & Management, Hewler, Iraq

来源：

JOURNAL OF INEQUALITIES AND APPLICATIONS | 2013年

关键词：

fuzzy metric space; compatible mappings; weakly compatible mappings; common limit range property; fixed point;

D O I：

10.1186/1029-242X-2013-182

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The object of this paper is to utilize the notion of common limit range property to prove unified fixed point theorems for weakly compatible mappings in fuzzy metric spaces satisfying an implicit relation due to Rao et al. (Hacet. J. Math. Stat. 37(2): 97-106, 2008). Some illustrative examples are furnished which demonstrate the validity of the hypotheses and degree of utility of our results. As an application to our main result, we prove an integral type fixed point theorem in fuzzy metric space.

引用

页码：1 / 17

页数：17

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