Abstract
The aim of this article is to establish some common fixed point theorems for -fuzzy mappings under F-contraction in the framework of complete metric spaces. To extend and improve some well-known results of literature, new results for multivalued mappings are obtained as application of established results. We have illustrated an appropriate example to rationalize the notions and outcomes. Also we investigated the solution of the domain of words as application of our results to theoretical computer science.
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