a definition of two jointly asymptotically nonexpansive mappings s and t on uniformly convex banach space e is studied to approximate common fixed points of two such mappings through weak and strong convergence of an ishikawa type iteration scheme generated by s and t on a bounded closed and convex subset of e. as a consequence of the notion of two jointly asymptotically nonexpansive maps, we c...

As previously proposed in Simpson and Visser [J. Cosmol. Astropart. Phys. 02 (2019) 042], Mazza et al. 04 (2021) 082], Franzin 07 036], Lobo [Phys. Rev. D 103, 084052 (2021), the ``black bounce'' spacetimes are an interesting type of globally regular modifications ordinary black holes (such as Kerr-Newman geometry its particular cases) which generically contain a spacetime singularity (usually ...

Abstract We establish a relationship between asymptotic regularity and common stationary points of multivalued mappings on metric space. As consequence our results, we obtain new fixed point result for two asymptotically regular single-valued mappings. Our work significantly improves complements comparable results in the literature.

Let E be a reflexive Banach space with a weakly sequentially continuous duality mapping, C be a nonempty closed convex subset of E, f : C → C a contractive mapping (or a weakly contractive mapping), and T : C → C a nonexpansive mapping with the fixed point set F (T ) 6= ∅. Let {xn} be generated by a new composite iterative scheme: yn = λnf(xn)+(1−λn)Txn, xn+1 = (1−βn)yn+βnTyn, (n ≥ 0). It is pr...

begin{abstract} in this paper, we prove some strong and weak convergence of three step random iterative scheme with errors to common random fixed points of three asymptotically nonexpansive nonself random mappings in a real uniformly convex separable banach space. end{abstract}

with kn ≥ 0, rn ≥ 0, kn → 1, rn → 0 n → ∞ , for each x, y ∈ C, n 0, 1, 2, . . . . If kn 1 and rn 0, 1.1 reduces to nonexpansive mapping; if rn 0, 1.1 reduces to asymptotically nonexpansive mapping; if kn 1, 1.1 reduces to asymptotically nonexpansive-type mapping. So, a generalized asymptotically nonexpansive mapping is much more general than many other mappings. Browder 1 introduced the followi...

I describe the construction of a large class of asymptotically flat initial data with non-vanishing mass and angular momentum for which the metric and the extrinsic curvature have asymptotic expansions at space-like infinity in terms of powers of a radial coordinate. I emphasize the motivations and the main ideas behind the proofs.

The generalized odds-rate class of regression models for time to event data is indexed by a non-negative constant rho and assumes that [formula: see text] where g: rho(s) = log(rho-1(s-rho - 1)) for rho > 0, g0(s) = log(-logs), S(t[symbol: see text]Z) is the survival function of the time to event for an individual with q x 1 covariate vector Z, beta is a q x 1 vector of unknown regression param...

In this note, we prove that the family of regular codes is not asymptotically good. The notation follows that in [2]. All codes considered are binary linear codes. H7 refers to the [7, 4] binary Hamming code. Definition 1. A binary linear code is regular iff it does not contain as a minor any code equivalent to H7 or H 7 . It follows from the theorem that the family of regular codes, which we w...