Fixed Point Results in W-Distance Spaces is a self-contained and comprehensive reference for advanced fixed-point theory and can serve as a useful guide for related research. The book can be used as a teaching resource for advanced courses on fixed-point theory, which is a modern and important field in mathematics. It would be especially valuable for graduate and postgraduate courses and seminars.
Features
Written in a concise and fluent style, covers a broad range of topics and includes related topics from research.
Suitable for researchers and postgraduates.
Contains brand new results not published elsewhere.
Author(s): Vladimir Rakočević
Series: Monographs and Research Notes in Mathematics
Publisher: CRC Press/Chapman & Hall
Year: 2021
Language: English
Pages: 194
City: Boca Raton
Cover
Half Title
Series Page
Title Page
Copyright Page
Contents
Preface
Author
Symbol Description
1. Introduction
1.1. Metric spaces
1.2. Banach contraction principle
1.3. Kannan contraction
1.4. Ciric quasicontraction
2. Some basic properties of W-distances
2.1. De nition and examples
2.2. Basic properties of W-distances
2.3. More results on W-distances
3. Fixed point results in the framework of W-distances
3.1. Basic fixed point results
3.2. Banach contraction principle
3.3. Rakotch theorem
3.4. Meir and Keeler theorem
3.5. Kannan mappings
3.6. Ciric quasicontraction
3.7. Fisher quasicontraction
4. Some common fixed point results using W-distances
4.1. Some results of Ume and Kim
4.2. Das and Naik contraction
4.3. Common coupled fixed point results
4.4. Some of Mohanta's results
4.5. Second Fisher theorem
5. Best proximity points and (φ, ψ, p)-contractive mappings
5.1. Best proximity points involving simulation functions
5.2. Best proximity points with R-functions
5.3. ('; ; p)-contractive mappings
5.4. ('; ; p)-weakly contractive mappings
5.5. Generalized weak contraction mappings
5.6. w-°-Kannan contractions
6. Miscellaneous complements
6.1. Multivalued mappings
6.2. Ciric type contractions at a point
6.3. Extension of a result by Ri
6.4. Weaker Meir-Keeler function
6.5. Contractive mappings of integral type
6.6. Ekeland's variational principle
6.7. Some generalizations and comments
Bibliography
Index
