In this work, we study some new common fixed point results for generalized contractive multi-valued non-self-mappings on complete metric spaces. © 2011 Elsevier Ltd. All rights reserved.

In this paper we study the Lindley-type equation W = max{0, B − A−W}. Its main characteristic is that it is a non-increasing monotone function in its main argument W. Our main goal is to derive a closed-form expression of the steady-state distribution of W. In general this is not possible, so we shall state a sufficient condition that allows us to do so. We also examine stability issues, derive...

and Applied Analysis 3 an energy condition. Section 4 is devoted to long time behaviors of global solutions, including the existence of global fast solution and slow solution. 2. Local Existence and Uniqueness In this section, we prove the following local existence and uniqueness of the solution to 1.2 by contraction mapping principle. Theorem 2.1. For any given u0 satisfying u0 ∈ C1 α 0, s0 wi...

We survey the application of contraction mapping argments to selfsimilar (nonrandom) fractal sets, measures and functions. We review the results for selfsimilar random fractal sets and measures and show how the method and extensions also work for selfsimilar random fractal functions.

In this article, we prove the existence of a best proximity point for F contractive nonself mappings and state some results in the complete metric spaces. Also we define two kinds of F proximal contraction and extend some best proximity theorems and improve the recent results. 2010 Mathematics Subject Classification: 46N40; 47H10; 54H25; 46T99

denote the open ball of radius a centred on the origin in IR. If the function ~g : Ba → IR d obeys there is a constant G < 1 such that ‖~g(~x)− ~g(~y)‖ ≤ G ‖~x− ~y‖ for all ~x, ~y ∈ Ba (H1) ‖~g(~0)‖ < (1−G)a (H2) then the equation ~x = ~g(~x) has exactly one solution. Discussion of hypothesis (H1): Hypothesis (H1) is responsible for the word “Contraction” in the name of the theorem. Because G <...

Let X be a reflexive Banach space which has a weakly sequentially continuous duality mapping. In this paper, we consider the following viscosity approximation sequence x n λ n fx n 1−λ n T n x n , where λ n ∈ 0, 1, {T n } is a uniformly asymptotically regular sequence, and f is a weakly contractive mapping. Strong convergence of the sequence {x n } is proved.

For a general logic program, a set of n+ 1 logic values is considered and an unde ned value denoted u. Partial multi-valued interpretations are also de ned. A general logic program P may contain the constants that are de ned for every logic value. A pseudo-negation denoted eh is de ned for every integer h, where 0 h < n. A partial ordering denoted h is de ned between multi-valued interpretation...