Abstract The aim of this paper to present some weak and strong convergence results for countable family non-self mappings. More precisely, we employ the Mann–Dotson’s algorithm approximate common fixed points a k -strict Pseudocontractive mappings in q -uniformly smooth Banach spaces.

We prove that positive solutions of the superlinear Lane–Emden system in a two-dimensional smooth bounded domain are independently exponents system, provided comparable. As consequence, energy is uniformly bounded, crucial information their asymptotic study. In addition, boundedness may fail if not

and Applied Analysis 3 for each x, y ∈ U. It is also said to be uniformly smooth if the limit is attainted uniformly for each x, y ∈ U. It is well known that ifE is smooth, then the dualitymapping J is single valued. It is also known that if E is uniformly smooth, then J is uniformly norm-to-norm continuous on each bounded subset ofE. Someproperties of the dualitymapping have been given in [22]...

Geometric models and Teichmüller structures have been introduced for the space of smooth circle endomorphisms and for the space of uniformly symmetric circle endomorphisms. The latter one is the completion of the previous one under the Techmüller metric. Moreover, the spaces of geometric models as well as the Teichmüller spaces can be described as the space of Hölder continuous scaling function...

We give a new proof of short time existence for the classical motion by mean curvature of a smooth hypersurface. Our method consists in studying a fully nonlinear uniformly parabolic equation satisfied by the signed distance function to the surface

Very recently, Ahmad and Yao 2009 introduced and considered a system of generalized resolvent equationswith corresponding system of variational inclusions in uniformly smooth Banach spaces. In this paper we introduce and study a general system of generalized resolvent equations with corresponding general system of variational inclusions in uniformly smooth Banach spaces. We establish an equival...

The L (1 < p < ∞) and weak-L estimates for the variation for CalderónZygmund operators with smooth odd kernel on uniformly rectifiable measures are proven. The L boundedness and the corona decomposition method are two key ingredients of the proof.

We establish a second order smooth variational principle valid for functions defined on (possibly infinite-dimensional) Riemannian manifolds which are uniformly locally convex and have a strictly positive injectivity radius and bounded sectional curvature.

In this paper, we prove the convergence of some new three-step iterative algorithms for a new system of generalized nonlinear mixed quasivariational inclusions in q-uniformly smooth Banach spaces. Mathematics Subject Classification: 49J35, 49J40

We construct a new iterative scheme by hybrid methods and prove strong convergence theorem for approximation of a common fixed point of two countable families of closed relatively quasinonexpansive mappings which is also a solution to a system of equilibrium problems in a uniformly smooth and strictly convex real Banach space with Kadec-Klee property using the properties of generalized f -proje...