*Correspondence: [email protected] Department of Mathematics, Huaiyin Normal University, Huaian, Jiangsu 223300, P.R. China Abstract In this paper, we investigate the existence and uniqueness of solutions for a fractional boundary value problem involving the p-Laplacian operator. Our analysis relies on some properties of the Green function and the Guo-Krasnoselskii fixed point theorem and the Ban...

In this technical report we treat some properties of the recently introduced QBGvalue function. In particular we show that it is a piecewise linear and convex function over the space of joint beliefs. Furthermore, we show that there exists an optimal infinite-horizon QBG-value function, as the QBG backup operator is a contraction mapping. We conclude by noting that the optimal Dec-POMDP Q-value...

Abstract The objective of this article is to solve pseudomonotone variational inequality problems in a real Hilbert space. We introduce an inertial algorithm with new self-adaptive step size rule, which based on the projection and contraction method. Only one used design proposed algorithm, strong convergence iterative sequence obtained under some appropriate conditions. main advantage that pro...

‎In this short note‎, ‎we present some inequalities for relative operator entropy which are generalizations of some results obtained by Zou [Operator inequalities associated with Tsallis relative operator entropy‎, ‎{em Math‎. ‎Inequal‎. ‎Appl.}‎ ‎{18} (2015)‎, ‎no‎. ‎2‎, ‎401--406]‎. ‎Meanwhile‎, ‎we also show some new lower and upper bounds for relative operator entropy and Tsallis relative o...

Dosiev (2008) obtained a Stinespring’s theorem for local completely positive maps (in short: CP-maps) on locally C ∗ -algebras. In this article suitable notion of minimality construction has been identified so as to ensure uniqueness up unitary equivalence the associated representation. Using Radon–Nikodym type proved. Further, unbounded operator valued Hilbert modules over -algebras (also call...

This paper present results of ω-order preserving partial contraction mapping generating a general class semilinear initial value problems. We consider the use fractional powers unbounded linear operators for its application by starting with some concerning such powers. assume A to be infinitesimal generator an analytic semigroup in Banach space X, 0 ∈ ρ(A) and defined < α ≤ 1. also show that...

Pantograph, a device in which an electric current is collected from overhead contact wires, introduced to increase the speed of trains or trams. The work aims study stability properties nonlinear fractional order generalized pantograph equation with discrete time, using Hilfer operator. Hybrid fixed point theorem considered existence solutions, and uniqueness solution proved Banach contraction ...

The nonlinear fractional-order model of bioethanol production under a generalized nonlocal operator in the Caputo sense is investigated this work. Theoretical and computational aspects considered are discussed. We prove that has at least one solution unique using Leray–Schauder Banach contraction theorems. Using functional analysis, we investigate several types Ulam–Hyres stability. use predict...

Let T be a CQ(N) contraction on a separable Hubert space and let / — S(qPi) ffi S(<p¿) © • • ■ ®5(qpt) be its Jordan model, where m„ qpj,.. ., <pk are inner functions satisfying <ty|m,_i for j = 2, 3,..., k, and S(<fj) denotes the compression of the shift on H2 Q <PjH2,j 1, 2,..., k. In this note we show that T is reflexive if and only if S^/ipi) is. In this note we only consider bounded linear...

We prove existence of a bounded weak solution to degenerate quasilinear subdiffusion problem with measurable coefficients that may explicitly depend on time. The kernel in the involved integro-differential operator w.r.t. time belongs large class PC kernels. In particular, case fractional derivative order less than 1 is included. A key ingredient proof new compactness criterion Aubin-Lions type...