This Article is brought to you for free and open access by the Ocean, Earth & Atmospheric Sciences at ODU Digital Commons. It has been accepted for inclusion in OEAS Faculty Publications by an authorized administrator of ODU Digital Commons. For more information, please contact [email protected]. Repository Citation Anderson, Robert F.; Mawji, Edward; Cutter, Gregory A.; Measures, Christop...

+*Koyama, T; *Sugano, N; *Miki, H; **Murakami, A; *Nishii, T; *Sato, Y; *Yoshikawa, H; *Tamura, S; *Ochi, T +*Osaka University Graduate School of Medicine, Osaka, Japan. [email protected] Introduction It has been reported that almost 100% of hips with extensive type of osteonecrosis of the femoral head (ONFH) show progression of collapse if they do not receive any surgical treatm...

This article presents results on expansive graphs that Víctor Neumann-Lara obtained in the late 1970’s and reported mostly without proofs in [8] and [9]. The untimely death of Víctor left us to complete this project, which had started in [7]. We had at hand [8, 9] and the manuscript [10] that, using his old notebooks, Víctor wrote with one of us in 1995. The original material has been thoroughl...

We prove that for C generic diffeomorphisms, every expansive homoclinic class is hyperbolic.

We call a dynamical system on a measurable metric space measureexpansive if the probability of two orbits remain close each other for all time is negligible (i.e. zero). We extend results of expansive systems on compact metric spaces to the measure-expansive context. For instance, the measureexpansive homeomorphisms are characterized as those homeomorphisms f for which the diagonal is almost in...

Group equivariant operators are playing a more and relevant role in machine learning topological data analysis. In this paper, we present some new results concerning the construction of G-equivariant non-expansive (GENEOs) from space \(\Phi \) real-valued bounded continuous functions on X to itself. The represents our set data, while G is subgroup group all self-homeomorphisms X, representing i...

This paper investigates optimal error bounds and convergence rates for general Mann iterations computing fixed-points of non-expansive maps. We look that achieve the smallest fixed-point residual after n steps, by minimizing a worst-case bound $$\Vert x^n-Tx^n\Vert \le R_n$$ derived from nested family transport problems. prove this is tight so $$R_n$$ yields iterations. Inspired numerical resul...

The aim of this work is two fold: first we extend some results concerning the computation fixed point index for sum an expansive mapping and a $k$-set contraction obtained in \cite{DjebaMeb, Svet-Meb}, to case $T+F$, where $T$ such that $(I-T)$ Lipschitz invertible $F$ contraction. Secondly, as illustration our theoretical results, study existence positive solutions classes differential equatio...

We prove common fixed point theorems for the newly introduced “occasionally Cq-commuting” mappings satisfying generalized non expansive condition using subsequential continuity of the mappings involved. Our results are more general than many recent results existing in the literature. Mathematics Subject Classification: 54H25, 47H10