COMMON FIXED POINT THEOREMS FOR EIGHT OCCASIONALLY WEAKLY COMPATIBLE MAPPINGS IN FUZZY METRIC SPACE
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Abstract
: In this paper, we prove common fixed point theorems for eight occasionally weakly
Compatible (owc) mappings.
- Introduction
In 1965 L.A.Zadeh [7] introduced the concept of fuzzy sets. Later with the concept of fuzzy sets, O.Kramosil and J.Michalek [8] introduced fuzzy metric spaces afterwards the notion of fuzzy metric spaces was modified with the help of continuous t-norm by A.George and P.Veeramani [1]. S. Sessa [14] improved commutativity condition in fixed point theorem by introducing the notion of weakly commuting maps in metric space.R.Vasuki [11] proved fixed point theorems for R-weakly commuting mapping . The concept of compatible maps by [4] and weakly compatible maps by [5] in fuzzy metric space is generalized by A.Al.Thagafi and NaseerShahzad [2] by introducing the concept of occasionally weakly compatible mappings.In this paper we prove some fixed point theorems for Eight occasionally weakly compatible owcmappings which generalises the results of [10]
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