boujari [5] proved a fixed point theorem with an old version of the integraltype contraction , his proof is incorrect. in this paper, a new generalizationof integral type contraction is introduced. moreover, a fixed point theorem isobtained.

we consider the concept of ω-distance on a complete partially ordered g-metric space and prove some common fixed point theorems.

"This paper deals with some existence results for a class of implicit fractional q-difference equations. The are based on the fi xed point theory in Banach spaces and concept measure noncompactness. An illustrative example is given last section."

In this paper, we study the existence of solutions for fractional evolution equations with nonlocalconditions. These results are obtained using Banach contraction xed point theorem. Other resultsare also presented using Krasnoselskii theorem.

In this paper, we give some xed point theorems for '-weak contractivetype mappings on complete G-metric space, which was given by Zaed andSims [1]. Also a homotopy result is given.

This paper deals with adaptive simulation of time-dependent problems. Mesh adaptation for unsteady con gurations is especially important as the phenomenon evolves in the whole computational domain and, in order to capture such a phenomenon accurately on adapted meshes, one has to predict the evolution path. Here, we propose a new adaptive algorithm for time-dependent simulation; the idea is to ...

For applications in spatial statistics, an important property of a random set X in R k is its rst contact distribution. This is the distribution of the distance from a xed point 0 to the nearest point of X, where distance is measured using scalar dilations of a xed test set B. We show that, if B is convex and contains a neighbourhood of 0, the rst contact distribution function F B is absolutely...

Some random xed point theorems for set-valued random operators under very mild conditions are established. Some recent results of O'Regan ([Proc. Amer. Math. Soc. 126 (1998), 3045{3053] and [Computers Math. Applic. 35 (1998), 27{34]) are improved signi cantly. The discussion in this paper underlines, in addition to generality, the unifying aspects of our result.

some algorithms for nding common xed point of a family of mappings isconstructed. indeed, let c be a nonempty closed convex subset of a uniformlyconvex banach space x whose norm is gateaux dierentiable and let {tn} bea family of self-mappings on c such that the set of all common fixed pointsof {tn} is nonempty. we construct a sequence {xn} generated by the hybridmethod and also we give the ...

The method of Lyapunov functions (Lyapunov's second or direct method) was originally developed for studying the stability of a xed point of an autonomous or non-autonomous diierential equation. It was then extended from xed points to sets, from diierential equations to dynamical systems and to stochastic diierential equations. We go one step further and develop Lyapunov's second method for rand...