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This book provides a detailed study of recent results in fixed point theory and presents applications in non linear analysis, Integral equations and Homotopy. Each chapter is accompanied by basic definitions, mathematical preliminaries, Lemmas, and proof of main results. The following chapters and discusses about,
· Existence and uniqueness of a common coupled fixed point for two covariant mappings in the class of complete bipolar metric spaces with examples via C-class functions. Two illustrated applications has been proved.
· Contractive mappings of the (α, φ, F) type are used to show certain fixed point results in the context of Sb-metric space, along with appropriate examples that illustrate the key findings. Applications to integral equations and homotopy.
· Coupled fixed point theorems for c* class function in c* algebra valued fuzzy soft metric spaces with suitable example including with the applications.
· Fixed point findings by using (α, φ) − K-type contractive mappings in the setting of partial-b-metric space and suitable examples that supports the main results. Also, applications to integral equations are provided.
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Ushabhavani Chaluvagali, Upender Reddy Gujjula, Naresh Parkala
Dr. Ushabhavani chaluvagali is working as an Assistant Professor of Mathematics in SRITW, Hanmakonda, Warangal, Telangana and she has 20 years of teaching experience . She did her Ph.D, in Mathematics from Mahatma Gandhi University, Nalgonda. Her fields of interest includes fixed point theory and its applications.
Dr. G. Upender Reddy is working as an Assistant Professor in the Department of Mathematics at Mahatma Gandhi University, Nalgonda since 2012. Under his guidance, four students have been awarded Ph.D. degrees. He has published 34 research papers in reputed national and international journals.
He has actively participated in 26 national and international conferences, where he also presented research papers. Dr. Reddy has successfully completed a UGC start-up project and has organized nine academic conferences.
He has served as the Head and Chairman of the Board of Studies (BOS) for the Department of Mathematics. He is a life member of various mathematical societies. In addition to his academic roles, he has held several administrative positions, including Additional Controller of Examinations, Controller of Examinations, Secretary of the University Sports Board, and Principal of the University College of Science.
Dr. Naresh Parkala is working as an Assistant Professor of Mathematics in Sreenidhi Institute of Science & Technology, Hyderabad,Telangana. He has eighteen years of teaching experience. He did Ph.D, in Mathematics from Mahatma Gandhi University, Nalgonda. His field of research is Functional Analysis and Integral Transforms.
