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28.192  Articles
1 of 2.820 pages  |  10  records  |  more records»
In this paper we introduce the notion of g-weak isotone mappings in an ordered Banach space and we extend some common ?xed point theorems of Dhage, O’Regan and Agarwal [1].

We extend the applicability of an efficient fifth order method for solving Banach space valued equations. To achieve this we use weaker Lipschitz-type conditions in combination with our idea of the restricted convergence region. Numerical examples are use... see more

We study a seventh convergence order solver introduced earlier on the j-dimensional Euclidean space for solving systems of equations. We use hypotheses only on the divided differences of order one in contrast to the earlier study using hypotheses on ... see more

This paper discusses some operations on mixed monotone operator in Banach space, especially addition an multiplication operations. We will prove the sum and product of two mixed monotone operators. The proof using some relevant definitions. The result is ... see more

A bounded linear operator which has a finite index and which is defined on a Banach space is often referred to in the literature as a Fredholm operator. Fredholm operators are important for a variety of reasons, one being the role that their index plays i... see more

The main object of the vectors are the vectors can be addedtogether and generate a vector, and produces a number is multipliedby another vector. Any set of objects with properties like this arecalled "vector space". Mathematical structure to be defined is... see more

We give a direct proof of sandwich-type theorems for linear invariant partially ordered vector space operators in the setting of convexity. As consequences, we deduce equivalence results between sandwich, Hahn-Banach, separation and Krein-type extension t... see more

The paper expresses the dual of the parabolically induced p-adic Banach space representation of a p-adic group in terms of the tensor product.

Let X be a space of measurable real functions defined on a fixed open set O ? R^N . It is natural to define the singular dimension of X as the supremum of Hausdorff dimension of singular sets of all functions in X.We say that f ? X is a maximally singular... see more

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