Reviewer 2: 1) General remark.
A well-known result is generalized (see Remark 2.4).
Then the sequence {x n } converges strongly to P F x1. Remark 2.3 Theorems 2.1 and 2.2 extend the main results of [16] from quasi-ϕ-nonexpansive mappings to more general generalized quasi-ϕ-asymptotically nonexpan-sive mappings.
Remark 2.5 It is mentioned that in 2006, Chidume and Chidume [1] proved the approximative theorem for zeros of generalized Lipschitz generalized Φ-quasi-accretive operators.
Remark For generalized degree theory, see [56].
We remark that generalized similarity and conical and norm constraints are the special cases of (6).
symmetric, monotone), then so is m π t and the associated function f π t to m π t is given by ∀ x > 0 f π t ( x ) = ∏ n = 1 ∞ f ( x t n ), where f is the associated function to m. (iii) ( m π t ) ∗ s = ( m ∗ s ) π t for each s > 0, where ∗ s denotes the generalized dual mean (see Remark 1.1).
Also, some remarks on constructing generalized plants are provided in this paper.
Remark 3.18 The generalized Hyers-Ulam stability problem for the cases of p = 1 and p = 2 were excluded in Corollaries 3.15 and 3.17, respectively.
