نتایج جستجو برای: generalized contraction mapping

تعداد نتایج: 417061  

2013
ZHENYU GUO MIN LIU

An integrodifferential equation with fractional derivatives in the nonlinearities is studied in this article, and some sufficient conditions for existence and uniqueness of a solution for the equation are established by contraction mapping principle.

The purpose of this paper is to find of the theoretical results of fixed point theorems for a mixed monotone mapping in a metric space endowed with partially order by using the generalized Kanann type contractivity of assumption. Also, as an application, we prove the existence and uniqueness of solution for a first-order ordinary differential equation with periodic bou...

1996
Nicolas Privault

We show that two multiple stochastic integrals I n (f n), I m (g m) with respect to the solution (M t) t2I R + of a deterministic structure equation are independent if and only if two contractions of f n and g m , denoted as f n 0 1 g m , f n 1 1 g m , vanish almost everywhere.

2001
Pascal Hitzler Anthony Karel Seda

We prove a type of converse of the Banach contraction mapping theorem for metric spaces: if X is a T 1 topological space and f : X ! X is a function with unique xed point a such that f n (x) converges to a for each x 2 X , then there exists a distance function d on X such that f is a contraction on the complete ultrametric space (X; d) with contractivity factor 1 2. We explore properties of the...

Journal: :Rew. Symb. Logic 2015
Rohan French David Ripley

Some theorists have developed formal approaches to truth that depend on counterexamples to the structural rules of contraction. Here, we study such approaches, with an eye to helping them respond to a certain kind of objection. We define a contractive relative of each noncontractive relation, for use in responding to the objection in question, and we explore one example: the contractive relativ...

2013
Gianluigi Del Magno João Lopes Dias Pedro Duarte José Pedro Gaivão Diogo Pinheiro

We provide an overview of recent results concerning the dynamics of polygonal billiards with a contractive reflection law.

2006
Ricardo de O. Cavalcanti Andrés Erosa Tom Holmes Ed Prescott Jim Schmitz Andres Erosa

We present a theory concerning the realization of capital gains where ownership and control are linked as in Holmes and Schmitz (1995). The model developed is a version of a Lucas-tree economy in which the productivity of a technology depends on the ownership of the technology. The existence and uniqueness of equilibrium follow from the Contraction Mapping Theorem. The theory implies that imped...

2010
Kumar Mishra

Fixed point and coincidence results are presented for multivalued generalized n -weak contractive mappings on complete metric spaces, where N: [0, +4) ÷ [0, +4) is a lower semicontinous function with N (0) = 0 and N (t) > 0 for all t > 0. Our results extend previous results by Zhang and Song (2009), as well as by Rhoades (2001), Nadler (1969) and DaTer and Kaneko (1995). Branciari (2002) gave a...

2008
E. Roja M. K. Uma

In this paper the concept of a fuzzy contraction mapping on a fuzzy metric space is introduced and it is proved that every fuzzy contraction mapping on a complete fuzzy metric space has a unique fixed point.

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