Abstract
This paper introduces the notion of mu-extended fuzzy b-metric space for extending the concept of fuzzy b-metric space and obtains an analogue of Banach fixed point result. Using functions alpha(x, y) and mu(x, y), the corresponding triangle inequality in mu-extended fuzzy b-metric space is given as follows
M(nu,omega,alpha(nu,omega)s + mu(nu, omega)t) >= M(nu, nu, s) * M(nu, omega, t) for all nu, nu, omega is an element of X.
An analogue of Banach fixed point result is established. Besides, an example is given to confirm validity of this theorem.