On Generalized Algebraic Cone Metric Spaces and Fixed Point Theorems

In this paper, the author first introduces the concept ofgeneralized algebraic cone metric spaces and some elementary resultsconcerning generalized algebraic cone metric spaces. Next, by usingthese results, some new fixed point theorems on generalized(complete) algebraic cone metric spaces are proved and an example isgiven. As a consequence, the main results generalize thecorresponding results in complete algebraic cone metric spaces andgeneralized complete metric spaces.