MMN-1206
Common fixed point theorems on spaces with vector-valued $b$-metrics
Safia Bazine; Abdelkrim Aliouche; Fateh Ellaggoune;Abstract
The purpose of this paper is to prove common fixed point theorems for two operators without the assumption of continuity on a set endowed with vector-valued b-metric and we also study the case of two vector-valued b-metrics. The well-posedness of the fixed point problem is also discussed and an application is presented for systems of operator equations in complete b-normed vector space. Our results improve and generalize theorems 2 and 5 of M. Boriceanu [4].
Vol. 18 (2017), No. 1, pp. 103-115