Measure of Noncompactness, Fixed Point Theorems, and Applications

介紹了最近在非緊緻度量理論及其在純數學和應用數學中的應用方面的發展和研究。討論了一些主題，如在規範函數空間中的非緊緻度量，以及在非線性無窮分數微分方程組和耦合不動點定理中的應用。

S. A. Mohiuddine is a full Professor of Mathematics at King Abdulaziz University, Jeddah, Saudi Arabia. An active researcher, he has co-authored 5 books: Convergence Methods for Double Sequences and Applications (Springer, 2014), Advances in Summability and Approximation Theory (Springer, 2018), Soft Computing Techniques in Engineering, Health, Mathematical and Social Sciences (CRC Press, Taylor & Francis Group, 2021), Approximation Theory, Sequence Spaces, and Applications (Springer, 2022), Sequence Space Theory with Applications (CRC Press, Taylor & Francis Group, 2023), and a number of chapters in numerous edited books. More than 170 research papers and various leading journals, bear his name.

Mohiuddine is the referee of scientific journals and a member of the editorial boards of those journals, various international scientific bodies and organizing committees. He has visited international universities, including Imperial College London, UK, and served as a guest editor for a number of special journals' issues. His research interests are: sequence spaces, statistical convergence, matrix transformation, measures of non-compactness and approximation theory. His name has appeared in the prestigious list of World's Top 2% Scientists, compiled by Stanford University in California, USA, via Scopus data provided by Elsevier, for four consecutive years from 2020-2023.

M. Mursaleen, since 1982, has served at Aligarh Muslim University from lecturer to full Professor. From 2915 to 2018, he was Chairman of the Department of Mathematics. He has published 9 books, published more than 400 research papers in several highly reputed journals, and besides Masters' students, has guided 21 Ph.D. students.

Mursaleen has been a reviewer for various international scientific journals and is a member of numerous editorial boards for various international scientific journals. He has received a number of awards for his research achievements and was recognized as a 2019 Highly Cited Researcher by the Web of Science.

Dragan Djordjevic received his degrees in mathematics from the University of Nis Serbia: Bachelors in 1992, Masters in 1996, and a PhD in 1998. He has worked at the University of Nis since 1992, and from 2006, as full Professor at the Faculty of Sciences and Mathematics. He has taught courses in various levels of education (Functional Analysis, Operator Theory, Complex Analysis, Measure and integration, Algebras of Operators) and served as the Dean of the Faculty of Sciences and Mathematics, a member of several scientific boards of the University of Nis (Senat, Scientific Council for Sciences and Mathematics), Ministry of Education, Science and Technological Development of Serbia (Scientific Council for Mathematics, Mechanics and Computer Science, Head of the council), as well as in the Republic of Serbia (National council for higher education). He was the head and member of several scientific projects financed by the Ministry of Education, Science and Technological Development of Serbia. He is a member and vice president of the Association Serbian Scientific Mathematical Society. Djordjevic supervised 10 PhD theses (8 in Nis, 1 in Belgrade and 1 in Skopje). He has published 130 scientific papers, including 104 papers in JCR journals. He has collaborated with more than 30 authors, most of them his students, and his results are cited approximately 1400 times, with a Hirsch index of h=22.

Djordjevic has been as an invited speaker for mathematical conferences in Korea, Japan, and Turkey, has organized conferences in mathematical or functional analysis in Nis and Novi Sad, has reviewed papers for mathematical journals, including Mathematical Reviews. His cientific work includes operator theory, with some aspects of functional analysis, linear algebra, general algebra and numerical analysis. His main focus is on operators on Banach and Hilbert spaces, their ordinary and generalized invertibility properties, Fredholm and spectral theory, as well as applications to general ring theory, and operator equations in various structures. He has results related to majorizaion and doubly stochastic operators, theory of spaces with indefinite inner products, and Hilbert C*- modules. Dragan Djordjevic sits on the boards of these mathematical journals: Filomat (one of the editors-in-chief), Functional Analysis, Approximation and Computation (founder, editor-in-chief), Applied Mathematics and Computer Science (founder, one of the editors-in-chief), Advances in the Theory of Nonlinear Analysis and its Application (member of the board), Publications de l'Institute Mathematique (member of the board), and Advances in Operator Theory (member of the board).

S. A. Mohiuddine是沙特阿拉伯吉達的阿卜杜勒阿齊茲大學的數學學科的全職教授。作為一位活躍的研究者，他合著了5本書籍，包括《雙序列的收斂方法及應用》（Springer，2014年）、《可加性和逼近理論的進展》（Springer，2018年）、《工程、健康、數學和社會科學中的軟計算技術》（CRC Press，Taylor & Francis Group，2021年）、《逼近理論、序列空間和應用》（Springer，2022年）和《序列空間理論及應用》（CRC Press，Taylor & Francis Group，2023年），並在許多編輯的書籍中撰寫了多個章節。他的名字出現在超過170篇研究論文和多個領先期刊上。

Mohiuddine是科學期刊的審稿人，也是這些期刊的編輯委員會成員，並且是各種國際科學機構和組織委員會的成員。他曾訪問過包括英國倫敦帝國學院在內的國際大學，並擔任多個特刊的客座編輯。他的研究興趣包括序列空間、統計收斂、矩陣變換、非緊緻性度量和逼近理論。他的名字連續四年（2020年至2023年）出現在由斯坦福大學在美國加利福尼亞州編制的世界頂尖2%科學家名單中，該名單是根據Elsevier提供的Scopus數據編制的。

M. Mursaleen自1982年起在阿利加爾穆斯林大學擔任講師至全職教授。從2015年到2018年，他擔任數學系主任。他出版了9本書籍，在多個高度聲譽的期刊上發表了400多篇研究論文，並且除了碩士生外，還指導了21名博士生。

Mursaleen是多個國際科學期刊的審稿人，並且是多個國際科學期刊的編輯委員會成員。他因其研究成就獲得了多個獎項，並被Web of Science評為2019年高被引研究者。

Dragan Djordjevic在1992年獲得尼斯大學的數學學位：學士學位、碩士學位和博士學位。他自1992年起在尼斯大學工作，並自2006年起擔任科學與數學學院的全職教授。他教授過各個教育階段的課程（如函數分析、算子理論、復分析、測度與積分、算子代數），並擔任過科學與數學學院的院長，尼斯大學的幾個科學委員會（Senat、科學與數學科學委員會）的成員，塞爾維亞教育、科學和技術發展部（數學、力學和計算機科學科學委員會，該委員會的負責人）以及塞爾維亞共和國（高等教育國家委員會）的成員。他是塞爾維亞科學數學學會的成員和副主席。Djordjevic指導了10個博士論文（8個在尼斯，1個在貝爾格萊德，1個在斯科普里）。他發表了130篇科學論文，其中包括104篇JCR期刊論文。他與30多位作者合作過，其中大部分是他的學生，他的成果被引用約1400次，具有h指數為22。

Djordjevic曾應邀參加韓國、日本和土耳其的數學會議，並在尼斯和諾維薩德舉辦過數學或函數分析方面的會議，並為數學期刊（包括Mathematical Reviews）審查過論文。他的科學工作涉及算子理論，包括函數分析、線性代數、一般代數和數值分析的某些方面。他的主要研究方向是Banach和Hilbert空間上的算子及其