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

Journal of inequalities and applications

Sunny Chauhan¹ 

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

DOI  :  10.1186/1029-242X-2013-182

学科分类：数学（综合）

来源: SpringerOpen

【 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. MSC:54H25, 47H10.

【 授权许可】

CC BY