We study strong and ∆-convergence of a modified S-type iteration process inspired by Agarwal, O’Regal and Sahu (2007) for uniformly L-Lipschitzian and generalized asymptotically nonexpansive mappings in CAT(0) spaces.

The purpose of this paper is to prove a strong convergence theorem for a finite family of uniformly L-Lipschitzian mappings in Banach spaces. The results presented in the paper improve and extend

Abstract Let $f:\mathbb {C}^2\to \mathbb {C}^2$ be a polynomial skew product that leaves invariant an attracting vertical line $ L $. Assume moreover $f$ restricted to $L$ is non-uniformly hyperbolic, in the sense satisfies one of following conditions: (1) $f|_L$ topological Collet–Eckmann and weak regularity conditions. (2) The Lyapunov exponent at every critical value point lying Julia set $f...

The present paper deals with the learnability of indexed families L of uniformly recursive languages from positive data. We consider the in uence of three monotonicity demands and their dual counterparts to the e ciency of the learning process. The e ciency of learning is measured in dependence on the number of mind changes a learning algorithm is allowed to perform. The three notions of (dual)...

vol. 162, No. 2, 1991 k-β and k-Nearly Uniformly Convex Banach Spaces Denka Kutzarova Different uniform geometrical properties have been defined between the uniform convexity and the reflexivity of Banach spaces. In the present paper we introduce other properties of this type, namely k-β and k-nearly uniform convexity. The definitions, as well as some of the results presented here, are announce...

In this paper, we introduce a one-step iterative scheme for finding a common fixed point of a finite family of multivalued quasi-nonexpansive mappings in a real uniformly convex Banach space. We establish weak and strong convergence theorems of the proposed iterative scheme under some appropriate conditions.

An analytic function f(z)= z+an+1zn+1+··· , defined on the unit disk = {z : |z|< 1}, is in the class Sp if zf ′(z)/f(z) is in the parabolic region Rew > |w −1|. This class is closely related to the class of uniformly convex functions. Sufficient conditions for function to be in Sp are obtained. In particular, we find condition on λ such that the function f(z), satisfying (1−α)(f(z)/z)μ+αf ′(z)(...