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

被引:0
作者
Sunny Chauhan
Muhammad Alamgir Khan
Suneel Kumar
机构
[1] R.H. Government Postgraduate College,Department of Natural Resources Engineering and Management
[2] Near Nehru Training Centre,undefined
[3] University of Kurdistan,undefined
来源
Journal of Inequalities and Applications | / 2013卷
关键词
fuzzy metric space; compatible mappings; weakly compatible mappings; common limit range property; fixed point;
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学科分类号
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.
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