Correspondence: [email protected]. edu.tw Department of Applied Mathematics, National Hsinchu University of Education, Taiwan Abstract In this article, we obtain some new fixed point theorems for set-valued contractions in complete metric spaces. Our results generalize or improve many recent fixed point theorems in the literature. MSC: 47H10, 54C60, 54H25, 55M20.

We investigate the local conjugacy, at a partially hyperbolic fixed point, of a diffeomorphism (vector field) to its normally linear part in the presence of constraints, where the change of variables also must satisfy the constraints. The main result is applied to vector fields respecting a singular foliation, encountered, by F. Dumortier and R. Roussarie, in the desingularization of families o...

In this paper we define g-nonexpansive and g-nonexpansive type fuzzy mappings and prove common fixed point theorems for sequences of fuzzy mappings satisfying certain conditions on a Banach space. Thus we obtain fixed point theorems for nonexpansive type multi-valued mappings.

Falmagne proposed that choice reaction times can be described by a simple model involving two states of perceptual-motor preparation. Lupker and Theios found support for the model in an M-choice (w = 4, 6) reaction time task in which stimulus presentation probability was varied as IT for one stimulus, but was constrained as (1 —*•) / (»— 1) for all the remaining stimuli. The present experiments...

We propose, within the context of the dynamics of a holomorphic germ in C , a definition of ’attracting basin’ of a fixed point. We prove that the inverse germ of an endomorphism of C with a repulsive fixed point in 0, satisfying a supplementary technical hypothesis, admits an attracting basin which could be described as a Fatou-Bieberbach domain ’with many leaves’.

We study one-sided substitution subshifts, and how they can be respresented using BratteliVershik systems. In particular we focus on minimal recognizable substitutions such that the generated one-sided substitution subshift contains only one non-shift-invertible element (branch point), and we call these substitutions quasi-invertible. We characterise these substitutions, and show that if the su...

We study closed Einstein 4-manifolds which admit S1 actions of a certain type, i.e., warped products. In particular, we classify them up to isometry when the fixed point of the S1 action satisfies certain natural geometric conditions. The proof uses the Bochner-Weitzenböck formula for 1-forms and the theory of minimal surfaces in 3-manifolds.