Some fixed point results for TAC-Suzuki contractive mappings
Commun. Korean Math. Soc.
Published online July 8, 2019
Akindele Adebayo Mebawondu and Oluwatosin T Mewomo
University of KwaZulu-Natal, Durban, South Africa, Universiity of KwaZulu-Natal, Durban
Abstract : In this paper, we introduce the notion of modified TAC-Suzuki-Berinde type $F$-contraction and modified TAC-$(\psi,\phi)$-Suzuki type rational mappings in the frame work of complete metric spaces, we also establish some fixed point results regarding this class of mappings and we present some examples to support our main results. The results obtain in this work extends and generalizes the results of Dutta et al. \cite{du}, Rhoades \cite{rh}, Doric, \cite{doc}, Khan et al. \cite{kh}, Wardowski \cite{wad}, Piri et al. \cite{piri}, Sing et al. \cite{sing} and many more results in this direction.
Keywords : Suzuki mapping; fixed point; TAC-Suzuki Berinde $F$-contraction; TAC-$(\psi,\phi)$-Suzuki type rational contraction ; metric space.
MSC numbers : 47H09; 47H10; 49J20; 49J40
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