For more details on α-admissible mappings, we refer the reader to [33 37].
For some works in the theory of weakly increasing mappings, we refer the reader to [23, 24].
Also, to see some results on common fixed points for generalized contraction mappings, we refer the reader to [21 23].
For the iterative algorithm for a finite family of nonexpansive mappings, we refer the reader to [19].
On the other hand, for some outcomes on the stability of multi-quadratic and Euler-Lagrange-type quadratic mappings we refer the reader to [7, 11, 24].
For some recent articles on the existence of fixed points for Bregman nonexpansive type mappings, we refer the reader to [1 10, 19 34].
For some results on stability of multi-additive mappings we refer the reader to [8, 25, 26], on stability of monomials to [8, 27 33] and on stability of other different kinds of polynomials to [7, 8, 26, 34 44].
For 1 ≤ p < ∞, we denote by H p ( D ) Open image in new window the Hardy space on the unit disk (for the properties of Hardy spaces and conformal mappings, we refer the reader to the classical book [24]).
At first, we recall some definitions and a lemma on set-valued mappings for convenience of the reader (see [7, 8, 16]).
