Applications of Fixed-Point Theorem: Extending Classical Results to Modern Frameworks
暫譯: 不動點定理的應用：將經典結果擴展至現代框架

Anita Tomar is the Professor and Head of the Department of Mathematics at Pt. L.M.S. Campus, Sri Dev Suman Uttarakhand University, Rishikesh. Her research interests encompass real and complex dynamics, with a focus on chaos, fractals, mathematical modeling, and fixed-point theory. She has contributed significantly to these fields, authoring 105 research papers and 15 book chapters, and edited books titled "Fixed Point Theory & its Applications to Real World Problems", Adhunik Pridrishya Me Bharatiya Prachiya Gyaan Sampada (Connecting Ancient Indian Wisdom in Modern Contexts)(Set of 2 Vol), and "Banach Contraction Principle: A Centurial Journey" . Additionally, Prof. Tomar has been actively involved in applied mathematics and the history of mathematics. She has delivered talks in various countries, including Senegal, Turkey, Nepal, Taiwan, and Thailand, as well as across India. She has supervised 2 research scholars, co-authored textbooks, and served as a guest editor for special issues in journals such as the Journal of Function Spaces, Journal of Mathematical Sciences and Demonstratio Mathematica.

Prof. Tomar is also a reviewer for Mathematical Reviews (AMS) and has reviewed numerous papers indexed in MathSciNet, ZbMATH, and Scopus. Her accolades include the "Teacher of the Year" award in 2020, the "Leading Women Scientist" award in 2021, and the "Chief Minister's Excellence and Good Governance Award" in 2022, "Excellence in Research award" in 2023, Distinguished Service Award in 2025, Best Project Award 2025.

Beyond her research, Prof. Tomar has contributed to syllabus development under NEP 2020 for universities in Uttarakhand and actively participates in both academic and administrative roles. She serves on several key university bodies, including the Director, Centre of Excellence in Entrepreneurship and Incubation, Director, Faculty Development Centre, Executive Council, Academic Council, Board of Studies, Research Degree Committee (RDC), and Interview Boards. She holds life memberships in the Indian Mathematical Society and the Indian Society for History of Mathematics, Vijñāna Parishad of India.

She is deeply committed to advancing mathematics through innovative research, fostering interdisciplinary collaboration, and promoting excellence in education.

Manish Jain, FIMA (UK) and recognized as a Friend of OWSD (UNESCO), is Assistant Professor in the Department of Mathematics at Ahir College, Rewari, Haryana, India. He is a distinguished mathematician whose scholarly expertise in real analysis, functional analysis and fixed point theory, with far-reaching implications for both pure and applied mathematics. His research is characterized by conceptual depth and practical relevance, bridging abstract theory with contemporary scientific challenges. He has contributed to the global mathematical community in editorial capacities for several leading international journals, including the TWMS Journal of Applied and Engineering Mathematics. His academic influence extends beyond publications, marked by invited keynote addresses at prestigious international forums in China and active participation in major academic events across Turkey, South Africa, Argentina and India.

With more than 30 research publications in reputed international journals, he continues to advance the frontiers of mathematical sciences through innovative inquiry, interdisciplinary collaboration and a sustained commitment to pedagogical excellence. His recent editorial endeavor in Banach Contraction Principle: A Centurial Journey reflects his deep engagement with foundational mathematical principles and their evolving applications in modern science. A recipient of the Best Researcher Award (National Faculty Award 2023-24), he holds lifetime membership of the Indian Mathematical Society and is a member of the International Society for Fuzzy Set Extensions and Applications. He has also played an instrumental role in strengthening the academic ecosystem by serving on the organizing committees of numerous national and international conferences.

安妮塔·托馬（Anita Tomar）是印度斯里德夫·蘇曼烏塔拉坎德大學（Sri Dev Suman Uttarakhand University）L.M.S.校區數學系的教授及系主任。她的研究興趣涵蓋實數與複數動力學，專注於混沌、分形、數學建模及不動點理論。她在這些領域做出了重要貢獻，發表了105篇研究論文和15章書籍，並編輯了名為《不動點理論及其在現實世界問題中的應用》（Fixed Point Theory & its Applications to Real World Problems）、《現代背景下的古印度智慧連結》（Adhunik Pridrishya Me Bharatiya Prachiya Gyaan Sampada）（兩卷本）以及《巴拿赫收縮原理：百年之旅》（Banach Contraction Principle: A Centurial Journey）的書籍。此外，托馬教授還積極參與應用數學及數學史的研究。她曾在包括塞內加爾、土耳其、尼泊爾、台灣和泰國等多個國家發表演講，並在印度各地進行演講。她指導過2名研究學者，合著了教科書，並擔任《函數空間期刊》（Journal of Function Spaces）、《數學科學期刊》（Journal of Mathematical Sciences）及《數學演示》（Demonstratio Mathematica）等期刊的特刊客座編輯。

托馬教授也是《數學評論》（Mathematical Reviews, AMS）的審稿人，並審閱了多篇在MathSciNet、ZbMATH和Scopus中索引的論文。她的榮譽包括2020年的「年度教師獎」（Teacher of the Year）、2021年的「傑出女性科學家獎」（Leading Women Scientist）、2022年的「首席部長卓越與良好治理獎」（Chief Minister's Excellence and Good Governance Award）、2023年的「研究卓越獎」（Excellence in Research award）以及2025年的「傑出服務獎」（Distinguished Service Award）和「最佳專案獎」（Best Project Award）。

除了研究外，托馬教授還參與了根據2020年國家教育政策（NEP 2020）為烏塔拉坎德的各大學發展課程大綱，並積極參與學術及行政角色。她在多個大學重要機構中擔任職務，包括創業與孵化卓越中心主任、教學發展中心主任、執行委員會、學術委員會、研究學位委員會（RDC）及面試委員會。她是印度數學學會（Indian Mathematical Society）和印度數學史學會（Indian Society for History of Mathematics）、印度科學協會（Vijñāna Parishad of India）的終身會員。

她致力於通過創新研究推進數學發展，促進跨學科合作，並提升教育的卓越性。

馬尼什·賈因（Manish Jain），FIMA（英國）並被認可為OWSD（聯合國教科文組織）的朋友，是印度哈里亞納邦阿希爾學院（Ahir College, Rewari, Haryana）數學系的助理教授。他是一位傑出的數學家，專長於實分析、函數分析和不動點理論，對純數學和應用數學均有深遠的影響。他的研究特點是概念深度和實用性，將抽象理論與當代科學挑戰相結合。他在多本國際知名期刊中擔任編輯，為全球數學社群做出了貢獻，包括《TWMS應用與工程數學期刊》（TWMS Journal of Applied and Engineering Mathematics）。他的學術影響力不僅限於出版物，還包括在中國的多個國際論壇上受邀發表主題演講，以及在土耳其、南非、阿根廷和印度的主要學術活動中積極參與。

他在多個知名國際期刊上發表了超過30篇研究論文，並通過創新探究、跨學科合作和持續致力於教學卓越，推進數學科學的前沿。他最近在《巴拿赫收縮原理：百年之旅》（Banach Contraction Principle: A Centurial Journey）中的編輯工作，反映了他對基礎數學原則及其在現代科學中不斷演變的應用的深度參與。他是2023-24年度全國教職員獎（Best Researcher Award）的獲得者，並擁有印度數學學會的終身會員資格，同時也是模糊集擴展與應用國際學會的成員。他在多個國內外會議的組織委員會中發揮了重要作用，強化了學術生態系統。