Communications of the
Korean Mathematical Society

ISSN(Print) 1225-1763 ISSN(Online) 2234-3024



Commun. Korean Math. Soc. 2019; 34(4): 1201-1222

Online first article August 27, 2019      Printed October 31, 2019

Copyright © The Korean Mathematical Society.

Some fixed point results for TAC-Suzuki contractive mappings

Akindele A. Mebawondu, Oluwatosin T. Mewomo

University of KwaZulu-Natal; University of KwaZulu-Natal


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 obtained in this work extend and generalize 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