Common fixed points for (ψ - φ)-weak contractions type in b-metric spaces

The aim of this paper is to prove the existence and uniqueness of common fixed points for a pair of (psi - phi)-weak contractive self-maps in the setting of b-metric spaces satisfying the minimal requirement of weakly compatibility, and other weak commuting properties as compatibility, R-weakly commuting and R-weakly commuting of types (A(T)), (A(S)) and (A(P)). Also, we will analyze the convergence and stability of the Jungck-Noor iterative scheme for this class of pairs of mappings on b-metric spaces endowed with a convex structure.