Fixed Point Theorems On Fuzzy Metric Space

Tapas Samanta

ISBN 10: 3848417146 / ISBN 13: 9783848417148

Published by LAP LAMBERT Academic Publishing, 2014

About this Item

nach der Bestellung gedruckt Neuware - Printed after ordering - For representing several real problems, we used to use the concepts of sets and functions in twentieth century. This way of representing problems is more rigid. In many circumstances the solutions using these concepts becomes meaningless. To overcome such type difficulties, at present fuzzy concept is used and tried to apply at every corner of science, technology, social science, etc. Almost all Mathematical, Engineering, Medicine, etc. concepts have been redefined using fuzzy sets. This leads us to make this book. In this monograph, we have tried to explore different type of fixed point theorems in fuzzy metric spaces.Fuzzy metric space is generalized concept of metric space. There are so many concepts of metric space remain to be generalized in fuzzy metric space. That's why, at the end of each chapter, we have suggested different type of open problems. Fixed point theorem has different application in our social sciences, biological sciences, etc. That's why, we have made an attempt to write this book.Fuzzy symmetric metric space is introduced here; because it is a challenging problem to establish the concepts of mathematical analysis without using triangular inequality.

Seller Inventory # 9783848417148

Bibliographic Details

• Title: Fixed Point Theorems On Fuzzy Metric Space
• Publisher: LAP LAMBERT Academic Publishing
• Publication Date: 2014
• Language: English
• ISBN 10: 3848417146
• ISBN 13: 9783848417148
• Binding: Taschenbuch
• Condition: Neu
• Dimensions: 220W x 150H x 10D millimeters 220 millimeters width by 150 millimeters height by 10 millimeters depth
• Weight: 244 grams

About this title

Synopsis

For representing several real problems, we used to use the concepts of sets and functions in twentieth century. This way of representing problems is more rigid. In many circumstances the solutions using these concepts becomes meaningless. To overcome such type difficulties, at present fuzzy concept is used and tried to apply at every corner of science, technology, social science, etc. Almost all Mathematical, Engineering, Medicine, etc. concepts have been redefined using fuzzy sets. This leads us to make this book. In this monograph, we have tried to explore different type of fixed point theorems in fuzzy metric spaces.Fuzzy metric space is generalized concept of metric space. There are so many concepts of metric space remain to be generalized in fuzzy metric space. That’s why, at the end of each chapter, we have suggested different type of open problems. Fixed point theorem has different application in our social sciences, biological sciences, etc. That’s why, we have made an attempt to write this book.Fuzzy symmetric metric space is introduced here; because it is a challenging problem to establish the concepts of mathematical analysis without using triangular inequality.

About the Author

Dr. T.K.Samanta,Associate Professor,Dept. of Mathematics, Uluberia College,Uluberia, Howrah. His present research area is Fuzzy Math. Anal. and different algebraic structures in Fuzzy environment. He has published more than forty five original research papers in different international journals. S. Mohinta is a research scholar of the first author.