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http://dx.doi.org/10.4134/CKMS.c180426

SOME FIXED POINT RESULTS FOR TAC-SUZUKI CONTRACTIVE MAPPINGS  

Mebawondu, Akindele A. (School of Mathematics, Statistics and Computer Science University of KwaZulu-Natal)
Mewomo, Oluwatosin T. (School of Mathematics, Statistics and Computer Science University of KwaZulu-Natal)
Publication Information
Communications of the Korean Mathematical Society / v.34, no.4, 2019 , pp. 1201-1222 More about this Journal
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 obtained in this work extend and generalize the results of Dutta et al. [9], Rhoades [18], Doric, [8], Khan et al. [13], Wardowski [25], Piri et al. [17], Sing et al. [23] 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;
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