Fixed point theory and its applications to real world problems

426 Pages·2021·23.106 MB·English

by  Mohan C. Joshi (editor), Anita Tomar (editor)

MATHEMATICS RESEARCH DEVELOPMENTS

F P T
IXED OINT HEORY
I A
AND TS PPLICATIONS
TO REAL WORLD PROBLEMS

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M R
ATHEMATICS ESEARCH
D
EVELOPMENTS

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MATHEMATICS RESEARCH DEVELOPMENTS

F P T
IXED OINT HEORY
I A
AND TS PPLICATIONS
TO REAL WORLD PROBLEMS

ANITA TOMAR
AND
M. C. JOSHI
EDITORS
Copyright © 2021 by Nova Science Publishers, Inc.

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Library of Congress Cataloging-in-Publication Data

Names: Tomar, Anita, editor. | Joshi, M. C., editor.
Title: Fixed point theory and its applications to real world problems /
editors, Anita Tomar, Professor and Head, Government Degree College
Thatyur, Tehri Garhwal (Uttarakhand), India, M.C. Joshi, Professor and
Head, Kumaun University Nainital, India.
Description: New York : Nova Science Publishers, [2021] | Series:
Mathematics research developments | Includes bibliographical references
and index. |
Identifiers: LCCN 2021013532 | ISBN 9781536193367 (hardcover) | ISBN
9781536194791 (adobe pdf)
Subjects: LCSH: Fixed point theory.
Classification: LCC QA329.9 .F583 2021 | DDC 515/.7248--dc23
LC record available at https://lccn.loc.gov/2021013532

Published by Nova Science Publishers, Inc. † New York
CONTENTS

Preface ix

Chapter 1 Dynamical Behavior of Generalized Logistic Maps 1
Using Superior Fixed-Point Feedback System
Ashish, Khamosh and Vinod Kumar

Chapter 2 On a New Type of Lipschitz Mapping Pairs in Fixed 21
Point Considerations and Applications
Ravindra K. Bisht

Chapter 3 On Geometric Properties of Non-Unique Fixed 33
Points in b-Metric Spaces
Meena Joshi, Anita Tomar and S. K. Padaliya

Chapter 4 Fixed Point Theorem for Multivalued Mappings 51
with Rational Expressions in Complete Partial
Metric Spaces
Santosh Kumar and Terentius Rugumisa

Chapter 5 Common Fixed Point Theorems in Menger 71
PM-Spaces with Nonlinear Generalized Type
Rale M. Nikolić, Siniša N. Ješić
and Vladimir T. Ristić

Chapter 6 Coincidence Point Theorems for Non-Expansive 85
Type Mappings and an Application to
Dynamic Programming
N. Chandra, Mahesh C. Joshi, Bharti Joshi
and N. K. Singh
vi Contents
Chapter 7 Some Stability and Data Dependence Results for 101
Pseudo-Contractive Multivalued Mappings
Abdessalem Benterki

Chapter 8 Multivalued Geraghty θ-Contractions and 115
Applications to Fractional Differential Inclusions
Said Beloul

Chapter 9 Near-Fixed Point, Near-Fixed Interval Circle and 131
Near-Fixed Interval Disc in Metric Interval Space
Anita Tomar and Meena Joshi

Chapter 10 Applications of Generalized α-Ćirić and α-Browder 151
Contractions in Partial Metric Spaces
Anita Tomar, Meena Joshi, Venkatesh Bhatt
and Giniswamy

Chapter 11 Fixed Point Theorems for Asymptotically Regular 171
Maps in Partial Metric Spaces
R. Kumar, Mahesh C. Joshi and N. Garakoti

Chapter 12 Existence of Common Fixed Point via Quasi-Partial 185
Metric with Applications
Shivangi Upadhyay, Anita Tomar, Ritu Sharma
and Meena Joshi

Chapter 13 An Iterative Algorithm for Weak Contraction 217
Mappings
N. Garakoti, Mahesh C. Joshi and R. Kumar

Chapter 14 Fixed Point Stability of Additive Functional 235
Equations in Paranormed Spaces
Kavita, Sanjay Kumar and Sushma Devi

Chapter 15 Amiable Fixed Sets and Their Descriptive 249
Proximities: An Introduction
James F. Peters

Chapter 16 Strong Coupled Fixed Points of Kannan Type 267
and Reich Type Cyclic Coupled Mappings
in S-Metric Spaces
G. V. R. Babu, P. Durga Sailaja and G. Srichandana
Contents vii
Chapter 17 A Common Fixed Point Theorem for a Pair 289
of Mappings in Fuzzy Metric Spaces
with an Application
Ayush Bartwal and R. C. Dimri

Chapter 18 Coupled Common Fixed Point Theorems for 303
Geraghty Contraction Mappings Satisfying Mixed
Weakly Monotone Property in S -Metric Space
b
N. Priyobarta and Yumnam Rohen

Chapter 19 Fixed Point Theorems for Multivalued Suzuki Type 323
Z -Contraction in Relational Metric Spaces

Swati Antal, Deepak Khantwal and U. C. Gairola

Chapter 20 w-Interpolative Hardy-Rogers Type Contractions 349
on Quasi-Partial b-Metric Space
Pragati Gautam, Vishnu Narayan Mishra,
Swapnil Verma and Rhythm Parija

Chapter 21 General Three-Step Iteration Process (n ) for Suzuki 365
v
Generalized Nonexpansive Mappings
Nisha Sharma and Lakshmi Narayan Mishra

Chapter 22 A Generalized Fixed Point Theorem on Partial 377
b-Metric Spaces
Anita Kumari and Deepak Kumar

Chapter 23 Fixed Point to Fixed Disc and Application in Partial 391
Metric Spaces
Meena Joshi, Anita Tomar and S. K. Padaliya

About the Editors 407

Index 409