In this paper, we study several new inequalities of Hadamard’s type for Lipschitzian mappings.

Inequalities are obtained using P0-simple functionals. Applications to Lipschitzian mappings are given.

We establish the convergence of Krasnoselskij iteration for various classes of non-Lipschitzian operators .

The aim of this paper is to prove strong and △-convergence theorems of modified S-iterative scheme for asymptotically quasi-nonexpansive mapping in hyperbolic spaces. The results obtained generalize several results of uniformly convex Banach spaces and CAT(0) spaces. KeywordsHyperbolic space, fixed point, asymptotically quasi nonexpansive mapping, strong convergence, △-convergence.

We prove the weak and strong convergence of the implicit iterative process to a common fixed point of an asymptotically quasi-I-nonexpansive mapping T and an asymptotically quasi-nonexpansive mapping I, defined on a nonempty closed convex subset of a Banach space.

This paper aims at deriving and proving some Lipschitzian type error bounds for convex conic problems in a simple way First it is shown that if the recession directions satisfy Slater s condition then a global Lipschitzian type error bound holds Alternatively if the feasible region is bounded then the ordinary Slater condition guarantees a global Lipschitzian type error bound These can be consi...

We show that mapping class groups of surfaces of genus at least two contain elements of infinite order that are not conjugate to their inverses, but whose powers have bounded torsion lengths. In particular every homogeneous quasi-homomorphism vanishes on such an element, showing that elements of infinite order not conjugate to their inverses cannot be separated by quasi-homomorphisms. This note...