Existence and uniqueness of a common fixed point under a limit contractive condition

被引：0

作者：

Imdad M. ^{[1
]}

Chauhan S. ^{[2
]}

Khan M.A. ^{[3
]}

机构：

[1] Department of Mathematics, Aligarh Muslim University, Aligarh

[2] Near Nehru Training Centre, Bijnor, Uttar Pradesh 246701, H. No. 274

[3] Department of Natural Resources Engineering and Management, University of Kurdistan, Hewler

来源：

Journal of Inequalities and Applications | / 2013卷 / 1期

关键词：

Common limit in the range property; Fixed point theorems; Fuzzy metric space; Weakly compatible mappings;

D O I：

10.1186/1029-242X-2013-519

中图分类号：

学科分类号：

摘要：

In this paper, utilizing the notion of common limit range property for two pairs of self mappings, we prove common fixed point theorems in fuzzy metric spaces under a limit contractive condition, which improve and extend the results of Zhu et al. [Common fixed point theorems of new contractive conditions in fuzzy metric spaces, J. Appl. Math. 2013:145190, 2013]. We also give some examples to demonstrate the validity of the hypotheses of our results. As an application to our main result, we obtain a fixed point theorem for four finite families of self mappings in fuzzy metric space. ©2013 Imdad et al.; licensee Springer.

引用

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