Selecting families and their applications
Deguire and Lassonde [P. Deguire, M. Lassonde, Familles selectantes, Topol. Methods Nonlinear Anal. 5 (1995) 261-269] extend the concept of continuous selection and introduce the notion of selecting family for a family of set-valued mappings. In this paper, we first establish a new existence theorem of selecting families. The existence of the selecting families will be then used in order to obtain several fixed component theorems of Fan-Browder type, an intersection result, a maximal element theorem for a family of set-valued mappings and a minimax inequality.
Collective fixed points and maximal elements with applications to abstract economies
Abstract In this paper, we first establish collective fixed points theorems for a family of multivalued maps with or without assuming that the product of these multivalued maps is Φ-condensing. As an application of our collective fixed points theorem, we derive the coincidence theorem for two families of multivalued maps defined on product spaces. Then we give some existence results for maximal elements for a family of LS-majorized multivalued maps whose product is Φ-condensing. We also prove some existence results for maximal elements for a family of multivalued maps which are not LS-majorized but their product is Φ-condensing. As applications of our results, some existence results for equilibria of abstract economies are also derived. The results of this paper are more general than those given in the literature.
Reference values for some haematological, haematochemical, and electrophoretic parameters in the Girgentana goat
The purpose of this study was to determine haematolog ical, haematochemical, and electrophoretic reference values for the Girgentana goat in order to form a basis for clinical interpretation. The study included 348 female Girgentana goats aged from 1 to 6 years. The animals were divided into 3 groups: goats aged 1-2 years (group A), goats aged 3-4 years (group B), and goats aged 5-6 years (group C). Blood samples were collected from each animal every morning at the same time (0800) by means of jugular venipuncture, and red blood cell (RBC), white blood cell (WBC), neutrophil (NEU), lymphocyte (LYM), monocyte (MONO), eosinophil (EOS), and basophil (BASO) counts, and haemoglobin (Hb), packed cell volume percent (PCV), mean corpuscular volume (MCV), mean corpuscular haemoglobin (MCH), mean corpuscular haemoglobin concentration (MCHC), and red cell distribution width (RDW) were recorded. Additionally, the concentration of some haematochemical parameters, including alanine-aminotransferase (ALT), aspartate-aminotransferase (AST), γ-glutamine-transferase (γ-GT), creatinine, β-hydroxybutyrate, urea, non- esterified fatty acids (NEFA), potassium, sodium, and chloride, and the electrophoretic profile (albumin, α1-globulins, α2-globulins, β-globulins, γ-globulins, total proteins and albumin:globulins ratio) were determined. Statistical analysis (one-way analysis of variance (ANOVA)), followed by Bonferroni's test, showed that there were significant differences only in RBC, MCV, EOS, ALT, AST, creatinine, γ-GT, sodium, urea, NEFA, γ-globulins, and the albumin:globulins ratio (P < 0.05 was considered statistically significant). The values determined in the present study contribute to the knowledge of the reference ranges for the Girgentana goat and can be used for monitoring health and disease diagnosis.