In a paper of 1950 L. M. Graves proved that, for a function f acting between Banach spaces and an interior point x̄ in its domain, if there exists a continuous linear mapping A which is surjective and the Lipschitz modulus of the difference f − A at x̄ is sufficiently small, then f is (linearly) open at x̄. This is an extension of the Banach open mapping principle from continuous linear mappings t...

The aim of paper is to prove a weak convergenceresult for finding a common of the set of fixed points of a nonexpansive mapping and the set of solutions of a variational inequality problem for a monotone, Lipschitz continuous mapping. Using an example in C++, validity of the result will be proved. Also, we shall find a common element of the set of fixed points of a nonexpansive mapping and the ...

This paper introduce a iteration scheme for approximation of strongly accretive operator equations in reflexive Banach space with weakly continuous duality mapping. Our result improve the results of Y. Xu [Ishikawa and Mann Iterative Processes with Errors for Nonlinear Strongly Accretive Operator Equations, J. Math. Anal Appl. 224(1998) 91-101] and I. Inchan and S. Plubtieng [Approximating solu...

In this paper, we introduce a new class of subsets bounded linear operators between Banach spaces which is called p-(DPL) sets. Then, the relationship these sets with equicompact investigated. Moreover, define p-version Right sequentially continuous differentiable mappings and get some characterizations mappings. Finally, prove that mapping f : X ? Y real Fr?chet f? takes into if only may be wr...

In a paper of 1950 Graves proved that for a function f acting between Banach spaces and an interior point x̄ in its domain, if there exists a continuous linear mapping A which is surjective and the Lipschitz modulus of the difference f −A at x̄ is sufficiently small, then f is (linearly) open at x̄. This is an extension of the Banach open mapping principle from continuous linear mappings to Lipsch...

A Domain of Positivity D is an open convex cone associated with a nonsingular symmetric matrix S, called the characteristic, such that xÇzD if and only if x'Sy>0 for all y(~D* As such they were introduced by Koecher (1) in generalization of the cone of positive definite matrices studied by Siegel. The automorphisms of D are the nonsingular linear transformations mapping D onto itself. The group...

We describe a method for discretizing C continuous surface(s) in R immersed in a non-conforming tetrahedralization. The method consists of constructing a homeomorphic mapping from the tetrahedrons in a background mesh to ones conforming to the immersed geometry. Such a map relies on the way we parametrize the surface(s) of the immersed geometry over a collection of a nearby triangular faces wit...