MULTIPLICATIVE GENERALIZED METRIC SPACES AND FIXED POINT THEOREMS

Abstract

The multiplicative calculi which are provide a wide variety of mathematical tools for use in science, engineering, and mathematics, appear to have considerable potential for use as alternatives to the classical calculus of Newton and Leibnitz. Every property in classical calculus has an analogue in multiplicative calculus. Recently, metric spaces are defined depending on the multiplicative calculus and examined some topological properties. We introduce, in this work, multiplicative generalized metric spaces and define the multiplicative generalized contractive. Further, we investigate some properties of multiplicative generalized contractive mapping and give multiplicative generalized fixed point theorems.