Two type quasi-contractions on quasi metric spaces and some fixed point results


Authors

Hakan Şimşek - Department of Mathematics, Faculty of Science and Arts, Kirikkale University, 71450 Yahsihan, Kirikkale, Turkey. Ishak Altun - Department of Mathematics, Faculty of Science and Arts, Kirikkale University, 71450 Yahsihan, Kirikkale, Turkey. - College of Science, King Saud University, Riyadh, Saudi Arabia.


Abstract

In this paper, we introduce new concepts of quasi-contractions of type (A) and of type (B) in a quasi metric space and we present the differences between of them. Then we present some fixed point results. In the light of the theorems it is shown that, although the Hausdorffness condition of quasi metric space is needed for the mapping of quasi contraction of type (A), it is not necessary to guarantee the existence of fixed point for the mapping of quasi contraction of type (B).


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ISRP Style

Hakan Şimşek, Ishak Altun, Two type quasi-contractions on quasi metric spaces and some fixed point results, Journal of Nonlinear Sciences and Applications, 10 (2017), no. 7, 3777--3783

AMA Style

Şimşek Hakan, Altun Ishak, Two type quasi-contractions on quasi metric spaces and some fixed point results. J. Nonlinear Sci. Appl. (2017); 10(7):3777--3783

Chicago/Turabian Style

Şimşek, Hakan, Altun, Ishak. "Two type quasi-contractions on quasi metric spaces and some fixed point results." Journal of Nonlinear Sciences and Applications, 10, no. 7 (2017): 3777--3783


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