(sg2) T(0)x = x for all x ∈ C; (sg3) T(s+ t) = T(s)◦T(t) for all s, t ≥ 0; (sg4) for each x ∈ C, the mapping t → T(t)x is continuous. We know that {T(t) : t ≥ 0} has a common fixed point under the assumption that C is weakly compact convex and E has the Opial property; see [3, 4, 5, 6, 8, 10, 12] and other works. Convergence theorems for one-parameter nonexpansive semigroups are proved in [1, 2...

Quasi-ideals were introduced by Otto Steinfeld [43] as those non-empty subsets Q of a semigroup T satisfying QTD TQ c Q. When T is regular they are precisely the subsets Q of T which satisfy QTQ = Q ([43, Theorem 9.3]). There are many examples of quasi-ideals in regular semigroup theory. We list below some of the most important: • Every subsemigroup of the form eSe (where e is an idempotent) is...

we present some new results on the existence and the approximationof common fixed point of expansive mappings and semigroups in probabilisticmetric spaces.

Several algebraic structures have been studied by many authors to discuss the relationships among them. This article aims study two structures, namely semigroup and BA-algebra, combining them in one form, BA-semigroup investigate some of its properties. paper BA-sub-semigroup, an ideal BA-homomorphism a with their Some examples are given illustrate results.

In this paper, we give a detailed mathematical understanding of flank milling with flat end cutters, which we use to develop a method for milling with such a cutter. This method slides the cutter along two rails, providing two points of contact on the surface.

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.