We show some stability and convergence theorems of the modified Ishikawa iterative sequence with errors for a strongly successively pseudocontractive and strictly asymptotically pseudocontractive mapping in a real Banach space. Additionally, we prove that if T is a uniformly Lipschitzian strongly accretive mapping, the modified Ishikawa iteration sequence with errors converges strongly to the u...

Suppose that X is a arbitrary real Banach space and T : X → X is a Strongly pseudocontractive mapping. It is proved that certain Mann iterative process with random errors for the fixed point of T is stable(almost stable) with respect to T with(without) Lipschitz condition. And, two related results are obtained that deals with stability(or almost stability) of Mann iterative process for solution...

X iv :0 71 0. 13 61 v3 [ m at hph ] 1 6 O ct 2 00 7 Blow-up rate for a semi-linear accretive wave equation M. Jazar∗ and Ch. Messikh Abstract. In this paper we consider the semi-linear wave equation: utt − ∆u = ut|ut| in R where 1 ≤ p ≤ 1 + 4 N−1 if N ≥ 2. We give the optimal blow-up rate for blowing up solutions of this equation. AMS Subject Classifications: 35L05,35L67

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...

We report the use of MGS, a declarative and rule-based language, for the modeling of various self-assembly processes. The approach is illustrated on the fabrication of a fractal pattern, a Sierpinsky triangle, using two approaches: by accretive growth and by carving. The notion of topological collections available in MGS enables the easy and concise modeling of Wang tiles on various lattice geo...

In this paper, we consider and investigate an altering points problem involving generalized accretive mappings over closed convex subsets of a real uniformly smooth Banach space. Parallel Mann parallel S-iterative methods are suggested to analyze the approximate solution problem. Consequently, some systems variational inclusions inequalities also explored using conceptual framework points. Conv...

Given a dissipative operator \(A\) on complex Hilbert space \(\mathcal{H}\) such that the quadratic form \(f \mapsto \text{Im}\langle f, Af \rangle\) is closable, we give necessary and sufficient condition for an extension of to still be dissipative. As applications, describe all maximally accretive extensions strictly positive symmetric operators highly singular first-order interval.

Associative memories can be implemented either by using feedforward or recurrent neural networks. Such associative neural networks are used to associate one set of vectors with another set of vectors, say input and output patterns. The aim of an associative memory is, to produce the associated output pattern whenever one of the input pattern is applied to the neural network. The input pattern m...