Some fixed point theorems for weakly $T$-Chatterjea and weakly $T$-Kannan-contractive mappings in complete metric spaces

In this work we introduce the notions of generalized weakly $T$-Chatterjea-contractive and generalized weakly $T$-Kannan-contractive maps. For these classes of maps we obtain sufficient conditions for the existence of a unique fixed point in a complete metric space.