Let T be a local strongly pseudocontractive and uniformly continuous operator from an arbitrary Banach space X into itself. Under certain conditions, we establish that the Noor iteration scheme with errors both converges strongly to a unique fixed point of T and is almost T -stable. The related results deal with the convergence and almost stability of the Noor iteration scheme with errors of so...

In this paper, we study q-Sturm-Liouville operators. We construct a space of boundary values of the minimal operator and describe all maximal dissipative, maximal accretive, self-adjoint and other extensions of q-Sturm-Liouville operators in terms of boundary conditions. Then we prove a theorem on completeness of the system of eigenfunctions and associated functions of dissipative operators by ...

In this paper, we suggest and analyze a new iterative method for solving some variational inequality involving an accretive operator in Banach spaces. We prove the strong convergence of the proposed iterative method under certain conditions. As a special of the proposed algorithm, we proved that the algorithm converges strongly to the minimum norm solution of some variational inequality. AMS su...

Let E be a real Banach space, let C be a closed convex subset of E, let T be a nonexpansive mapping of C into itself, that is, ‖Tx−Ty‖ ≤ ‖x− y‖ for each x, y ∈ C, and let A⊂ E×E be an accretive operator. For r > 0, we denote by Jr the resolvent of A, that is, Jr = (I + rA)−1. The problem of finding a solution u∈ E such that 0∈ Au has been investigated by many authors; for example, see [3, 4, 7,...

For the approximation of fixed points of a nonexpansive operator T in a uniformly convex Banach space E the convergence of the Mann-Toeplitz iteration x„+1 = a„T(x„) + (1 a„)xñ is studied. Strong convergence is established for a special class of operators T. Via regularization this result can be used for general nonexpansive operators, if E possesses a weakly sequentially continuous duality map...

We identify Melrose's suspended algebra of pseudodiierential operators with a subalgebra of the algebra of parametric pseudodiierential operators with parameter space R. For a general algebra of parametric pseudodiierential operators, where the parameter space may now be a cone ? R p , we construct a unique \symbol valued trace", which extends the L 2 {trace on operators of small order. This al...

We introduce new general iterative approximation methods for finding a common fixed point of a countable family of nonexpansive mappings. Strong convergence theorems are established in the framework of reflexive Banach spaces which admit a weakly continuous duality mapping. Finally, we apply our results to solve the the equilibrium problems and the problem of finding a zero of an accretive oper...

In this work, we study the spin density matrix element $\rho_{00}$ of $\phi$ in decay $J/\psi \rightarrow \eta \pi \phi$. previous studies, a band around 1.4 GeV on $\pi^0\phi$ distribution Dalitz plot was reported by BESIII Collaboration. This structure may be caused production resonance or triangle singularity mechanism. We find that predictions elements final based these mechanisms show dist...