Recall that algebraic sets are characterized by resolution tower structures [AK1], [AK2]. A topological space with such a structure is called a T R space for short. In low dimensions existence of resolution tower structures can often be detected by combinatorial invariants of the underlying topological spaces. For example, let X be a locally cone-like Euler stratified space (i.e., a locally con...

A convergence analysis to the weak solution is derived for interior penalty discontinuous Galerkin methods applied to the heat equation in two and three dimensions under general mixed boundary conditions. Strong convergence is established in the DG norm, as well as in the L norm, in space and in the L norm in time.

A non-overlapping domain decomposition method with Robin-type transmission conditions which is known for scalar advection-diffusion-reaction problems [2],[5] is generalized to cover the Oseen equations. The presented method, which is later referred to as DDM, is an additive iteration-by-subdomains algorithm. Hence parallelism is given in a very natural way. The formulation is based on the conti...

In this paper, an -convergence theory of filters in an L -space is established. By means of the -convergence theory, some important characterizations with respective to the closed sets, T2 separation and (

In this Paper we will investigate some fixed point and common theorem for multivalued mappings of Banach space. We show that an extended form many Known results taking inequities. The general a result proved by Space Convergence in which contains new generalized Theorem.

The purpose of this paper is to introduce and investigate a more generalized hybrid shrinking projection algorithm for finding a common solution for a system of generalized mixed equilibrium problems. A accelerated strong convergence theorem of common solutions is established in the framework of a non-uniformly convex Banach space. These new results improve and extend the previously known ones ...

A new system of generalized mixed implicit equilibrium problems is introduced and studied in real reflexive Banach space. A system of generalized equation problems is considered and its equivalence with the system of generalized mixed implicit equilibrium problems is shown. The iterative algorithm of the solutions is constructed and analyzed through a fixed point formulation of the generalized ...

in this paper, we present some common fixed point theorems for two generalized nonexpansive multivalued mappings in cat(0) spaces as well as in uced banach spaces. moreover, we prove the existence of fixed points for generalized nonexpansive multivalued mappings in complete geodesic metric spaces with convex metric for which the asymptotic center of a bounded sequence in a bounded closed convex...

In this paper, we investigate numerical schemes for solving a three component CahnHilliard model. The space discretization is performed by using a Galerkin formulation and the finite element method. For the time discretization, the main difficulty is to write a scheme ensuring, at the discrete level, the decrease of the energy. We study three different schemes and propose existence and converge...