In this paper we prove the weak and strong convergence of the implicit iterative process with errors to a common fixed point of a finite family {Tj}i=1 of asymptotically quasi Ij−nonexpansive mappings as well as a family of {Ij}j=1 of asymptotically quasi nonexpansive mappings in the framework of Banach spaces. The obtained results improve and generalize the corresponding results in the existin...

We study convergences of Mann and Ishikawa iteration processes for mappings of asymptotically quasi-nonexpansive type in Banach spaces. 1. Introduction and preliminaries. Let D be a nonempty subset of a real Banach space X and T : D → D a nonlinear mapping. The mapping T is said to be asymptotically quasi-nonexpansive (see [5]) if F(T) = ∅ and there exists a sequence {k n } in [0, ∞) with lim n...

We present a procedure to link the deformation parameter $\ensuremath{\beta}$ of generalized uncertainty principle (GUP) two free parameters $\stackrel{\texttildelow{}}{\ensuremath{\omega}}$ and $\ensuremath{\gamma}$ running Newtonian coupling constant asymptotically safe gravity program. To this aim, we compute Hawking temperature black hole in different ways. The first way involves use GUP pl...