Key words 
Mathematices Subject Classification 
Vectorvalued metric bmetric, vectorvalued bnorm, generalized bBanach space, fixed point, matrix convergent to zero, Perov type contraction, generalized KKM mapping, admissible set, operator with relatively compact range, Schauder's theorem, Krasnoselskii's theorem, system of operator equations 
47H10, 54H25



