This study aimed to determine the relationship of some metabolic constituents in follicular fluid (FF) with size (FZ) and oocyte diameter (OD) local ewes ovaries (Ovis aries), from September 2021 February 2022 Laboratories Animal Production Department, Al-Musaib Technical College. Two hundred non-pregnant genital organs were collected abattoirs Babylon province carried laboratory within two hou...

Abstract. We define the infinite dimensional simplex to be the closure of the convex hull of the standard basis vectors in R∞, and prove that this space has the fixed point property: any continuous function from the space into itself has a fixed point. Our proof is constructive, in the sense that it can be used to find an approximate fixed point; the proof relies on elementary analysis and Sper...

and Applied Analysis 3 Definition 4. Let X be a Banach space and ΩX the bounded set ofX. The Kuratowski’s measure of noncompactness is the map α : ΩX → [0,∞) defined by α (D) = inf {d > 0 : D ⊆ n ⋃ i=1 Di, diam (Di) ≤ d} , (8) hereD ∈ ΩX. One will use the following basic properties of the α measure and Sadovskii’s fixed point theorem here (see [37– 39]). Lemma 5. Let D1 and D2 be two bounded se...

in this paper we introduce new modified implicit and explicit algorithms and prove strong convergence of the two algorithms to a common fixed point of a family of uniformly asymptotically regularasymptotically nonexpansive mappings in a real reflexive banach space with a uniformly g$hat{a}$teaux differentiable norm. our result is applicable in $l_{p}(ell_{p})$ spaces,$1 < p

begin{abstract} in this paper, we introduce an iterative method for amenable semigroup of non expansive mappings and infinite family of non expansive mappings in the frame work of hilbert spaces. we prove the strong convergence of the proposed iterative algorithm to the unique solution of a variational inequality, which is the optimality condition for a minimization problem. the results present...

This paper gives the beginnings of a development of the theory of fixed point theorems within Bishop’s constructive analysis. We begin with a constructive proof of a result, due to Borwein, which characterises when some sets have the contraction mapping property. A review of the constructive content of Brouwer’s fixed point theorem follows, before we turn our attention to Schauder’s generalisat...

Let X be a Banach space, let φ denote the usual Kuratowski measure of noncompactness, and let kX (ε) = sup r (D) where r (D) is the Chebyshev radius of D and the supremum is taken over all closed convex subsets D of X for which diam (D) = 1 and φ (D) ≥ ε. The space X is said to have φ-uniform normal structure if kX (ε) < 1 for each ε ∈ (0, 1) . It is shown that this concept, which lies strictly...