Fixed point theory and its applications to real world problems

✍ Scribed by Mohan C. Joshi (editor); Anita Tomar (editor)

• Year: 2021
• Tongue: English
• Leaves: 426
• Series: Mathematics research developments
• Category: Library

✦ Table of Contents

FIXED POINT THEORYAND ITS APPLICATIONSTO REAL WORLD PROBLEMS
FIXED POINT THEORYAND ITS APPLICATIONSTO REAL WORLD PROBLEMS
CONTENTS
PREFACE
Chapter 1DYNAMICAL BEHAVIOR OF GENERALIZEDLOGISTIC MAPS USING SUPERIORFIXED-POINT FEEDBACK SYSTEM
Abstract
1. INTRODUCTION
2. PRELIMINARIES
3. DYNAMICS OF GENERALIZED LOGISTICMAPS USING SUPERIOR FIXED-POINTFEEDBACK SYSTEM
4. CHAOS IN GENERALIZED LOGISTIC MAPS USINGSUPERIOR FIXED-POINT FEEDBACK SYSTEM
4.1. Time-Series Analysis
4.2. Period-Doubling Bifurcation Analysis
5. LYAPUNOV EXPONENT IN GENERALIZEDLOGISTIC MAPS USING SUPERIORFIXED-POINT FEEDBACK SYSTEM
CONCLUSION
REFERENCES
Chapter 2ON A NEW TYPE OF LIPSCHITZ MAPPINGPAIRS IN FIXED POINT CONSIDERATIONSAND APPLICATIONS
Abstract
1. INTRODUCTION AND PRELIMINARIES
2. MAIN RESULTS
3. APPLICATIONS
REFERENCES
Chapter 3 ON GEOMETRIC PROPERTIES OF NON-UNIQUE FIXED POINTS IN b-METRIC SPACES
Abstract
1. INTRODUCTION
2. MAIN RESULTS
3. APPLICATION
CONCLUSION
REFERENCES
Chapter 4FIXED POINT THEOREM FOR MULTIVALUEDMAPPINGS WITH RATIONAL EXPRESSIONSIN COMPLETE PARTIAL METRIC SPACES
Abstract
1. INTRODUCTION
2. PRELIMINARIES
3. MAIN RESULTS
ACKNOWLEDGMENT
REFERENCES
Chapter 5COMMON FIXED POINT THEOREMSIN MENGER PM-SPACES WITH NONLINEARGENERALIZED TYPE
Abstract
1. INTRODUCTION
2. PRELIMINARIES
3. MAIN RESULTS
ACKNOWLEDGMENTS
REFERENCES
Chapter 6COINCIDENCE POINT THEOREMS FORNON-EXPANSIVE TYPE MAPPINGS AND ANAPPLICATION TO DYNAMIC PROGRAMMING
Abstract
1. INTRODUCTION AND PRELIMINARIES
2. MAIN RESULTS
3. AN APPLICATION TO DYNAMIC PROGRAMMING
REFERENCES
Chapter 7 SOME STABILITY AND DATA DEPENDENCE RESULTS FOR PSEUDO-CONTRACTIVE MULTIVALUED MAPPINGS
Abstract
1. INTRODUCTION AND PRELIMINARIES
2. MAIN RESULT
3. STABILITY OF FIXED POINT SETS UNDERBOUNDED PROXIMAL CONVERGENCE
ACKNOWLEDGMENTS
REFERENCES
Chapter 8MULTIVALUED GERAGHTY-CONTRACTIONS AND APPLICATIONS TOFRACTIONAL DIFFERENTIAL INCLUSIONS
Abstract
1. INTRODUCTION AND PRELIMINARIES
2. MAIN RESULTS
3. FIXED POINT ON A METRIC SPACES EQUIPPEDWITH A PARTIAL ORDERING
4. APPLICATION TO FRACTIONAL DIFFERENTIALINCLUSIONS
REFERENCES
Chapter 9NEAR-FIXED POINT, NEAR-FIXED INTERVALCIRCLE AND NEAR-FIXED INTERVAL DISCIN METRIC INTERVAL SPACE
Abstract
1. INTRODUCTION
2. PRELIMINARIES
3. MAIN RESULTS
4. OPEN PROBLEM
CONCLUSION
REFERENCES
Chapter 10APPLICATIONS OF GENERALIZED −´C IRI´CAND −BROWDER CONTRACTIONS INPARTIAL METRIC SPACES
Abstract
1. INTRODUCTION AND PRELIMINARIES
2. MAIN RESULTS
3. DISCONTINUOUS MAPS AS ACTIVATIONFUNCTIONS
4. APPLICATION
CONCLUSION
REFERENCES
Chapter 11FIXED POINT THEOREMSFOR ASYMPTOTICALLY REGULARMAPS IN PARTIAL METRIC SPACES
Abstract
1. INTRODUCTION AND PRELIMINARIES
2. MAIN RESULTS
3. APPLICATION
REFERENCES
Chapter 12EXISTENCE OF COMMON FIXED POINTVIA QUASI-PARTIAL METRICWITH APPLICATIONS
Abstract
1. INTRODUCTION
2. PRELIMINARIES
3. MAIN RESULTS
4. DISCUSSION ON QUASI PARTIAL METRIC SPACE
5. APPLICATION TO DYNAMICAL PROGRAMMING
6. APPLICATION TO SPRING MASS SYSTEM
CONCLUSION
REFERENCES
Chapter 13AN ITERATIVE ALGORITHMFOR WEAK CONTRACTION MAPPINGS
Abstract
1. INTRODUCTION
2. STABILITY
3. MAIN RESULTS
4. APPLICATION
REFERENCES
Chapter 14FIXED POINT STABILITY OF ADDITIVEFUNCTIONAL EQUATIONS IN PARANORMEDSPACES
Abstract
1. INTRODUCTION AND PRELIMINARIES
2. FIXED POINT STABILITY OF FUNCTIONALEQUATIONS
REFERENCES
Chapter 15AMIABLE FIXED SETS AND THEIRDESCRIPTIVE PROXIMITIES:AN INTRODUCTION
Abstract
1. INTRODUCTION
2. PRELIMINARIES
3. SHAPE COMPLEXES AND THEIR BOUNDARYREGIONS
4. CYCLES AND THEIR ABELIAN GROUPREPRESENTATIONS
5. BETTI NUMBERS
complexes.6. PROXIMALLY CONTINUOUS MAPS AND SPATIALLYAMIABLE FIXED
7. DESCRIPTIVE PROXIMALLY CONTINUOUS MAPSAND DESCRIPTIVE AMIABLE FIXED SETS
ACKNOWLEDGMENTS
REFERENCES
Chapter 16STRONG COUPLED FIXED POINTS OFKANNAN TYPE AND REICH TYPE CYCLICCOUPLED MAPPINGS IN S-METRIC SPACES
Abstract
1. INTRODUCTION AND PRELIMINARIES
2. STRONG COUPLED FIXED POINTS OF KANNANTYPE CYCLIC COUPLED MAPPINGS
3. STRONG COUPLED FIXED POINTS OF REICH TYPECYCLIC COUPLED MAPPINGS
ACKNOWLEDGMENTS
REFERENCES
Chapter 17 A COMMON FIXED POINT THEOREM FOR A PAIR OF MAPPINGS IN FUZZY METRIC SPACES WITH AN APPLICATION
Abstract
1. INTRODUCTION
2. PRELIMINARIES
3. MAIN RESULT
4. AN APPLICATION
REFERENCES
Chapter 18 COUPLED COMMON FIXED POINT THEOREMS FOR GERAGHTY CONTRACTION MAPPINGS SATISFYING MIXED WEAKLY MONOTONE PROPERTY IN Sb-METRIC SPACE
Abstract
1. INTRODUCTION AND PRELIMINARIES
2. MAIN RESULTS
CONCLUSION
ACKNOWLEDGMENT
REFERENCES
Chapter 19FIXED POINT THEOREMS FORMULTIVALUED SUZUKI TYPEZ<-CONTRACTION IN RELATIONALMETRIC SPACES
Abstract
1. INTRODUCTION
2. PRELIMINARIES
3. MAIN RESULTS
4. APPLICATION
REFERENCES
Chapter 20W-INTERPOLATIVE HARDY-ROGERS TYPECONTRACTIONS ON QUASI-PARTIALB-METRIC SPACE
Abstract
1. INTRODUCTION
2. PRELIMINARIES AND BASIC DEFINITIONS
3. MAIN RESULTS
CONCLUSION
ACKNOWLEDGMENTS
FUNDING
CONFLICTS OF INTEREST
REFERENCES
Chapter 21 GENERAL THREE-STEP ITERATION PROCESS (nv) FOR SUZUKI GENERALIZED NONEXPANSIVE MAPPINGS
Abstract
1. INTRODUCTION
2. CONVERGENCE ANALYSIS OF nv ITERATIONSCHEME
REFERENCES
Chapter 22 A GENERALIZED FIXED POINT THEOREM OF PARTIAL b-METRIC SPACES
Abstract
1. INTRODUCTION AND PRELIMINARIES
2. MAIN RESULTS
3. APPLICATION TO THE EXISTENCE OF SOLUTIONSOF INTEGRAL EQUATIONS
REFERENCES
Chapter 23FIXED POINT TO FIXED DISC ANDAPPLICATION IN PARTIAL METRIC SPACES
Abstract
1. INTRODUCTION AND PRELIMINARIES
2. MAIN RESULTS
3. APPLICATION
CONCLUSION
CONFLICT OF INTEREST
REFERENCES
ABOUT THE EDITORS
INDEX
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