This paper presents a boundary control formulation for distributed parameter systems described by partial differential equations (PDEs) and whose output is given by a spatial integral of weightedâ€¦ (More)

A novel perturbation observer-based PDE boundary control law for beam bending is derived based on a combination of perturbation observers and polynomial trajectory planning. The perturbation observerâ€¦ (More)

Let K be a nonempty closed convex and bounded subset of a reflexive Banach space X. Let [Formula: see text] be N-variables monotone demi-continuous mappings from [Formula: see text] into X. Then: (1)â€¦ (More)

We prove some existence theorems for solutions of a certain system of multivariate nonexpansive operator equations and calculate the solutions by using the generalized Mann and Halpern iterativeâ€¦ (More)

*Correspondence: hbxuyongchun@163.com 1Department of Mathematics, Hebei North University, Zhangjiakou, 075000, China Full list of author information is available at the end of the article Abstractâ€¦ (More)

The purpose of this paper is to present the concept of contraction mapping in a locally convex topological vector spaces and to prove the generalized contraction mapping principle in such spaces. Theâ€¦ (More)

The purpose of this paper is to present the definition of [Formula: see text]-contractive mapping and to discuss the relation of [Formula: see text]-contractive mappings and [Formula: seeâ€¦ (More)