Generalized matching theorems for closed coverings of convex sets

In this paper we use fixed point and coincidence theorems due to Park [8] to give matching theorems concerning closed coverings of nonempty convex sets in a real topological vector space. Our new results extend previously given ones due to Ky Fan [2], [3], Shih [10], Shih and Tan [11], and Park [7].     

Fixed points of multivalued quasi-nonexpansive mappings using a faster iterative process

In this article, we prove some strong and weak convergence theorems for quasi-nonexpansive multivalued mappings in Banach spaces. The iterative process used is independent of Ishikawa iterative process and converges faster. Some examples are provided to validate our results. Our results extend and unify some results in the contemporary literature.     

Strong Convergence Theorems for Mixed Typ e Asymptotically Nonexpansive Mappings

The purpose of this paper is to study a new two-step iterative scheme with mean errors of mixed type for two asymptotically nonexpansive self-mappings and two asymptotically nonexpansive nonself-mappin...     

一类变号(k,n-k)共轭边值问题正解的存在性

通过构造一个特殊的锥,利用范数形式的锥拉伸锥压缩不动点定理,在允许非线性项变号无下界且没有任何单调性假设的条件下,得出了一类高阶(k,n-k)共轭两点边值问题方程组正解的存在性结论.     

B(X)上保持约当积的固定点的满射

设B(X)是维数大于等于3的复Banach空间X上有界线性算子全体构成的代数.设A∈B(X),若Ax=x,则称x∈X是算子A的固定点.Fix(A)表示A的所有固定点的集合.本文刻画了B(X)上保持算子的Jordan积的固定点的满射.     

Simultaneous quantitation of rosuvastatin and ezetimibe in human plasma by LC–MS/MS: Pharmacokinetic study of fixed‐dose formulation and separate tablets

A simple, high‐throughput and highly sensitive liquid chromatography coupled with tandem mass spectrometry (LC–MS/MS) method has been developed for the simultaneous estimation of rosuvastatin and free ezetimibe. Liquid–liquid extraction was carried out using methyl‐tert butyl ether after prior acidification from 300 μL human plasma. The recovery for both the analytes and their deuterated internal standards (ISs) ranged from 95.7 to 99.8%. Rosuvastatin and ezetimibe were separated on Symmetry C₁₈ column using acetonitrile and ammonium formate buffer, pH 3.5 (30:70, v/v) as the mobile phase. The analytes were well resolved with a resolution factor of 3.8. Detection and quantitation were performed under multiple reaction monitoring using ESI(+) for rosuvastatin (m/z 482.0 → 258.1) and ESI(−) for ezetimibe (m/z 407.9 → 271.1). A linear response function was established in the concentration ranges of 0.05–50.0 ng/mL and 0.01–10.0 ng/mL for rosuvastatin and ezetimibe, respectively, with correlation coefficient, r² ≥ 0.9991. The IS‐normalized matrix factors for the analytes ranged from 0.963 to 1.023. The developed method was successfully used to compare the pharmacokinetics of a fixed‐dose combination tablet of rosuvastatin‐ezetimibe and co‐administered rosuvastatin and ezetimibe as separate tablets to 24 healthy subjects. The reliability of the assay was also assessed by reanalysis of 115 subject samples.     

Minimum-norm fixed point of nonexpansive mappings with applications

The purpose of this paper is to present two new iterative algorithms to find the minimum norm fixed point of nonexpansive nonself-mappings in the framework of Hilbert spaces. The results presented in this paper improve and extend the corresponding ones announced by Yao and Xu [Yao Y, Xu HK. Iterative methods for finding minimum norm fixed point of mappings with applications. Optimization. 2011;60:645–658] and many others. Some applications to convex minimization and split feast problems(SFP) are also included.     

On the existence of positive solutions of the p‐Laplacian dynamic equations on time scales

In this paper, we investigate the existence of positive solutions for a nonlinear m‐point boundary value problem for the p‐Laplacian dynamic equations on time scales, by applying a Krasnosel'skii's fixed point theorem. As an application, an example is included to demonstrate the main results. Copyright © 2017 John Wiley & Sons, Ltd.     

Normal families and fixed points of iterates

Let F be a family of holomorphic functions and suppose that there exists ε 0 such that if f ∈ F, then |(f 2 ) (ξ)|≤4-ε for all fixed points ξ of the second iterate f 2 . We show that then F is normal. This is deduced from a result which says that if p is a polynomial of degree at least 2, then p 2 has a fixed point ξ such that |(p 2 ) (ξ)|≥4. The results are motivated by a problem posed by Yang Lo.