Contents

Kapitel in diesem Buch

1. Frontmatter I
2. Preface V
3. Contents VII
4. About the Editors
5. 1 From Banach to Rus–Hicks–Rhoades: A history of contraction nappings 1
6. 2 On the fixed points of Hardy–Rogers and Ćirić–Reich–Rus-type interpolative cyclic contraction in b-metric spaces and rectangular b-metric spaces 41
7. 3 Hybrid-type fixed-point results on S-metric spaces 51
8. 4 Refinements and reverses of Jensen tensorial inequality for twice differentiable functions of selfadjoint operators in Hilbert spaces 69
9. 5 Summation formulas as modular relations 93
10. 6 Some geometric properties on Banach lattices 109
11. 7 The nonlinear principles and fixed-point theorems for non-self F contraction and non-expansive set-valued mappings by applying Caristi fixed-point theorem in locally complete convex spaces 149
12. 8 On the order of convergence of a Traub-type method 179
13. 9 Some fixed-point results for expansive mappings in G-metric spaces 193
14. 10 Extended Kantorovich’s results on Newton’s method for solving generalized equations on Hilbert space 207
15. 11 Integral-type Berezin radius inequalities 215
16. 12 Local convergence analysis of a hybrid Gauss–Newton method under a majorant condition 235
17. 13 Extended convergence region for a family of King–Traub methods for solving nonlinear equations 245
18. 14 New integral inequalities for Atangana–Baleanu fractional integrals via ( h , m )-convex functions 263
19. 15 Analysis of fixed-point theory in the setting of non-Archimedean fuzzy-b-metric spaces 283
20. 16 Fixed points of set-valued generalized rational graphic ϕ-contractive operators in semi-metric spaces 291
21. 17 A new generalization of Kannan’s fixed-point theorem via simple F-contraction 307
22. Index 321