A new extension of Boyd and Wong fixed point theorem in fractal spaces

In this paper we review some new results in the theory of Boyd-Wong-type contractions. The aim is to present a simple and unified treatment to this theory. For this purpose we present some important generalizations of the Banach contraction principle. As an applications to the fractals, we obtain the fixed point theorem of some generalized contraction in the fractal space. On the other hand, in the final part of the paper, we present one recent fixed point result for Boyd-Wong-type contractions of some generalized contraction defined on fractal spaces