‎In this paper‎, ‎some properties of pre-monotone operators are proved‎. ‎It is shown that in a reflexive Banach space‎, ‎a full domain multivalued $sigma$-monotone operator with sequentially norm$times$weak$^*$ closed graph is norm$times$weak$^*$ upper semicontinuous‎. ‎The notion of $sigma$-convexity is introduced and the‎ ‎relations between the $sigma$-monotonicity and $sigma$-convexity is i...

This paper considers the robust stability of a discrete-time Lurye system consisting feedback interconnection between linear and bounded monotone nonlinearity. It has been conjectured that existence suitable time-invariant (LTI) O’Shea–Zames–Falb multiplier is not only sufficient but also necessary. Roughly speaking, successful proof conjecture would require: (a) conic parameterisation set mult...

a general notion of completely monotone functionals on an ordered banach algebra b into a proper h*-algebra a with an integral representation for such functionals is given. as an application of this result we have obtained a characterization for the generalized completely continuous monotone functions on weighted foundation semigroups. a generalized version of bochner’s theorem on foundation se...

this paper is concerned with the study of the existence of positive solutions for a navier boundaryvalue problem involving the p-biharmonic operator; the right hand side of problem is a nonsmoothfunctional with variable parameters. the existence of at least three positive solutions is establishedby using nonsmooth version of a three critical points theorem for discontinuous functions. our resul...

Abstract This paper concerns the existence of global weak solutions á la Leray for compressible Navier–Stokes–Fourier systems with periodic boundary conditions and truncated virial pressure law which is assumed to be thermodynamically unstable. More precisely, main novelty that not monotone respect density. provides first result Navier-Stokes-Fourier system such kind strongly used as a generali...

In this work, it is presented iterative schemes for achieving to common points of the solutions set of the system of generalized mixed equilibrium problems, solutions set of the variational inequality for an inverse-strongly monotone operator, common fixed points set of two infinite sequences of relatively nonexpansive mappings and common zero points set of two finite sequences of maximal monot...

In this paper, we first introduce a monotone mapping and its resolvent in general metric spaces.Then, we give two new iterative methods  by combining the resolvent method with Halpern's iterative method and viscosity approximation method for  finding a fixed point of monotone mappings and a solution of variational inequalities. We prove convergence theorems of the proposed iterations  in ...

Jones matrix computation is one of the widely used methods in nonlinearitycalculation in laser interferometers. In this paper, the nonlinearity error in developedthree-longitudinal mode heterodyne interferometer (DTLMI) has been mathematicallymodeled at various speeds, by using Jones matrix calculations. This review has been donedespite the fact that simultaneously the main factors including no...

In this talk we will introduce a phenomenologically motivated rigorous mathematical framework for the analysis of stochastic neural field equations with spatially extended additive noise. It is well known that in the deterministic case neural field equations allow for the existence of monotone travelling-wave solutions. As described in [1], additional extrinsic stochastic forcing terms result i...

In this paper, we consider the iterative Lavrentiev regularization method for obtaining a stable approximate solution nonlinear ill-posed operator equation $F(x)=y$, where $ F:D(F) \subset X \rightarrow X$ is monotone on Hilbert spaces $X$. order to obtain using methods, it important use suitable stopping rule terminate iterations at appropriate step. Recently, Qinian Jin and Wei Wang (2018) ha...