Rakočević V. Fixed Point Results in W-Distance Spaces

Boca Raton: CRC Press/Chapman & Hall, 2021. — 195 p.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.FeaturesWritten 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
Symbol DescriptionMetric spaces
Banach contraction principle
Kannan contraction
Ciric quasicontraction
Some basic properties of W-distances
De nition and examples
Basic properties of W-distances
More results on W-distances
Fixed point results in the framework of W-distances
Basic fixed point results
Banach contraction principle
Rakotch theorem
Meir and Keeler theorem
Kannan mappings
Ciric quasicontraction
Fisher quasicontraction
Some common fixed point results using W-distances
Some results of Ume and Kim
Das and Naik contraction
Common coupled fixed point results
Some of Mohanta's results
Second Fisher theorem
Best proximity points and (φ, ψ, p)-contractive mappings
Best proximity points involving simulation functions
Best proximity points with R-functions
('; ; p)-contractive mappings
('; ; p)-weakly contractive mappings
Generalized weak contraction mappings
w-°-Kannan contractions
Miscellaneous complements
Multivalued mappings
Ciric type contractions at a point
Extension of a result by Ri
Weaker Meir-Keeler function
Contractive mappings of integral type
Ekeland's variational principle
Some generalizations and comments