We establish some relationships between an m-accretive operator and its Moore-Penorse inverse. derive perturbation result the inverse of a maximal accretive operator. As application we give factorization theorem for quadratic pencil operators. Also, study existence, uniqueness, regularity strict solution complete abstract second order differential equation. Illustrative examples are also given.

In this paper, Φ-pseudo-contractive operators and Φ-accretive operators, more general than the strongly pseudo-contractive operators and strongly accretive operators, are introduced. By setting up a new inequality, authors proved that if → : T X X is a uniformly continuous Φ-pseudo-contractive operator then T has unique fixed point q and the Mann iterative sequence with random errors approximat...

In this paper we introduce the concept of entropy operator for continuous systems of finite topological entropy. It is shown that it generates the Kolmogorov entropy as a special case. If $phi$ is invertible then the entropy operator is bounded with the topological entropy of $phi$ as its norm.

There are various ways to regularize ill-posed operator equations in Hilbert space. If the underlying operator is accretive then Lavrentiev regularization (singular perturbation) is an immediate choice. The corresponding convergence rates for the regularization error depend on the given smoothness assumptions, and for general accretive operators these may be both with respect to the operator or...

We introduce and study a new class of general nonlinear random multivalued operator equations involving generalized m-accretive mappings in Banach spaces. By using the Chang’s lemma and the resolvent operator technique for generalized m-accretive mapping due to Huang and Fang 2001 , we also prove the existence theorems of the solution and convergence theorems of the generalized random iterative...

In this work, we use the $C^3P_{\,0}$ model to calculate decay widths of low lying charmonium $J^{PC}=1^{--}$ states, nominally $J/\psi(1S)$ and $\psi(2S)$, in following common channels: $\rho\,\pi$, $\omega\,\eta$, $\omega\,\eta^\prime$, $K^{\ast +}\,K^-$, 0}\,\bar{K}^0$, $\phi\,\eta$, $\phi\,\eta^\prime$.

We prove functional inequalities on vector fields $$u: {{\mathbb {R}}}^d \rightarrow {R}}}^d$$ when $${{\mathbb is equipped with a bounded measure $$\hbox {e}^{-\phi } \,\mathrm {d}x$$ that satisfies Poincaré inequality, and study associated self-adjoint operators. The weighted Korn inequality compares the differential matrix Du, once projected orthogonally to certain finite-dimensional spaces,...

In this article, we employ certain properties of the transform $\mathscr{C}_{M,m}(A)=(M\mathbf1_{\mathcal{H}}-A^*)(A-m\mathbf1_{\mathcal{H}})$ to obtain new inequalities for bounded linear operator $A$ on a complex Hilbert space $\mathcal{H}$. particular, relations among $|A|,|A^*|,|\mathfrak{R}A|$ and $|\mathfrak{I}A|$. Further numerical radius that extend some known will be presented too.

We give an Itô formula associated to a non-linear semi-group associated to a m-accretive operator.