Godavari Jojar, U. Dolhare, Sachin Basude, Nitin Darkunde
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Some Unique Fixed Point Theorems on Complete Metric Space with Upper Semi Continuous Mapping
In the present article, we have proved two common fixed point theorems (FPT) for complete metric space (CMS) with the help of upper semi-continuous function along with the existence and uniqueness of fixed point. These results are the generalizations of the well-known theorems Kannan fixed point theorem (KFPT) and Chatterjea fixed point theorem (CFPT) in the existed literature. The KFPT and CFPT are the generalizations of Banach fixed point theorem (BFPT).
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