Fuzzy Operator Theory in Mathematical Analysis, Softcover reprint of the original 1st ed. 2018
Auteurs : Cho Yeol Je, Rassias Themistocles M., Saadati Reza
Surveys are provided on: Basic theory of fuzzy metric and normed spaces and its topology, fuzzy normed and Banach spaces, linear operators, fundamental theorems (open mapping and closed graph), applications of contractions and fixed point theory, approximation theory and best proximity theory, fuzzy metric type space, topology and applications.
1. Preliminaries.- 2. Fuzzy normed spaces and fuzzy metric spaces.- 3. Further properties of fuzzy Banach spaces.- 4. Fundamental theorems in fuzzy normed spaces.- 5. Fixed point theorems in fuzzy metric spaces.- 6. Generalized distances and fixed point theorems in fuzzy metric spaces.- 7. Fixed point theorems in partially ordered fuzzy metric spaces.- 8. Fixed point theorems in fuzzy normed spaces.- 9. Approximation theory in fuzzy metric spaces.- 10. Topologies and fixed points in fuzzy metric-type spaces.- 11. Operator theory and fixed points in fuzzy normed algebras and applications.- 12. Fixed points in non-Archimedean fuzzy metric spaces.- 13. Coincidence points for set-valued mappings in fuzzy metric spaces.
Equips readers with techniques and applications that can be used in interdisciplinary fields
Unifies concepts, principles, methods, techniques, and applications of fuzzy operator theory
Contains new approaches to fuzzy operator theory
Date de parution : 01-2019
Ouvrage de 410 p.
15.5x23.5 cm
Date de parution : 08-2018
Ouvrage de 410 p.
15.5x23.5 cm
Mots-clés :
Banach spaces; approximation theory; best proximity theory; fixed point theory; fundamental theorems; fuzzy metric; fuzzy operator theory; normed spaces; Non-Archimedean fuzzy normed spaces; Triangular norms; Fuzzy topological structures; Fuzzy normed spaces; Finite dimensional fuzzy Banach spaces; Fixed point theorems in partially ordered fuzzy metric spaces; Fuzzy proximal cyclic contractions; Nonlinear approximation theory; Ordered non-Archimedean fuzzy metric spaces; set-valued mappings in fuzzy metric spaces; Open mapping theorem; Closed graph theorem