An Application of PEROV TYPE RESULTS IN GAUGE SPACES

Lakshmi Narayan Mishra$^1$, Animesh Gupta$^2$ and Vandana$^3$

In this paper we present Perov type fixed point theorems for contractive mappings in Gheorghiu’s sense on spaces endowed with a family of vector valued pseudo-metrics. Applications to systems of integral equations are given to illustrate the theory. The examples also prove the advantage of using vector valued pseudo-metrics and matrices that are convergent to zero, for the study of systems of equations. 

Tbilisi Mathematical Journal, Vol. 11(2) (2018), pp. 139–151