On two types almost (α,F_{d})-contractions on quasi metric space

Abstract

In this paper, first we introduce two new types almost contractions on quasi metric space named as almost (α,F_{d})-contraction of type (x) and of type (y). Then, taking into account both left and right completeness of quasi metric space, we present some fixed point results for these contractions. We also provide some illustrative and comperative examples.