In this paper, we introduce a notion of convex F-contraction and establish some fixed point results for such contractions in b-metric spaces. Moreover, give supportive example to show that our is quite different from the used existing literature since does not necessarily contain continuous mapping but contains mapping. addition, via facts, claim indeed generalize improve previous literature.

An iterated function system consists of a complete metric space (X,d) and finite family contractions f1,⋯,fn:X→X. A generalized comprises defined on the Cartesian product Xm with values in X. In this paper, we want to investigate systems more general setting b-metric spaces. We prove that such admits unique attractor and, under some further restrictions b-metric, it depends continuously paramet...