Fixed Point Theorems on Complete Quasi Metric Spaces Via C-class and A-Class Functions

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Yalcin M.Tugba; Simsek Hakan; Altun Ishak

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Journal Paper

Paper Information

Journal: SAHAND COMMUNICATIONS IN MATHEMATICAL ANALYSIS (SCMA) Year:2020 | Volume:17 | Issue:2 Page(s): 23-36

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Title

Fixed Point Theorems on Complete Quasi Metric Spaces Via C-class and A-Class Functions

Author(s)

Yalcin M.Tugba | Simsek Hakan | Altun Ishak | Issue Writer Certificate

Keywords

Quasi metric space

left $K$-Cauchy sequence

left $mathcal{K}$-completeness

Fixed point

Abstract

In this paper, we present some Fixed point theorems for single valued mappings on $K$-complete, $M$-complete and Symth complete Quasi metric spaces. Here, for contractive condition, we consider some altering distance functions together with functions belonging to $C$-class and $A$-class. At the same time, we will consider two different type $M$ functions in contractive conditions because the quasi metric does not provide the symmetry property. Finally, we show that our main results includes many Fixed point theorems presented on both complete metric and complete Quasi metric spaces in the literature. We also provide an illustrative example to show importance of our results.

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