Kannan's fixed point approximation for solving split feasibility and variational inequality problems
From MaRDI portal
Publication:2222166
DOI10.1016/j.cam.2020.113217zbMath1484.47105arXiv1909.02379OpenAlexW3094484105MaRDI QIDQ2222166
Vasile Berinde, Madalina Păcurar
Publication date: 3 February 2021
Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1909.02379
fixed pointvariational inequality problemsplit feasibility problemKrasnoselskij iterationenriched Bianchini mappingenriched Kannan mapping
Variational inequalities (49J40) Iterative procedures involving nonlinear operators (47J25) Fixed-point theorems (47H10) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09)
Related Items
Fixed point results of enriched interpolative Kannan type operators with applications ⋮ Weak and strong convergence theorems for the Krasnoselskij iterative algorithm in the class of enriched strictly pseudocontractive operators ⋮ Completeness problem via fixed point theory ⋮ A new type of fixed point theorem via interpolation of operators with application in homotopy theory ⋮ Krasnoselskij-type algorithms for fixed point problems and variational inequality problems in Banach spaces ⋮ Implication between certain iterative processes via some enriched mappings ⋮ Unnamed Item ⋮ Around averaged mappings ⋮ A new class of contractive mappings ⋮ Approximating fixed points of enriched Chatterjea contractions by Krasnoselskij iterative algorithm in Banach spaces ⋮ A forward-backward-forward algorithm for solving quasimonotone variational inequalities ⋮ Fixed point results for enriched ordered contractions in noncommutative Banach spaces
Uses Software
Cites Work
- Kannan-type contractions and fixed points in uniform spaces
- Iterative approximation of fixed points
- Some similarity between contractions and Kannan mappings
- Linking contractive self-mappings and cyclic Meir-Keeler contractions with Kannan self-mappings
- A generalization of Kannan's fixed point theorem
- Some combined relations between contractive mappings, Kannan mappings, reasonable expansive mappings, and \(T\)-stability
- A multiprojection algorithm using Bregman projections in a product space
- Fixed point theorems for Kannan type mappings
- Various extensions of Kannan's fixed point theorem
- Fixed point theorems for Kannan-type maps
- Approximating fixed points of enriched contractions in Banach spaces
- An observation on Kannan mappings
- Weak and strong convergence theorems for the Krasnoselskij iterative algorithm in the class of enriched strictly pseudocontractive operators
- Fixed Point Theory in Metric Type Spaces
- Fixed Point Theory in Distance Spaces
- Approximating fixed points of enriched nonexpansive mappings in Banach spaces by using a retraction-displacement condition
- A Comparison of Various Definitions of Contractive Mappings
- Contractive mappings, Kannan mappings and metric completeness
- A unified treatment of some iterative algorithms in signal processing and image reconstruction
- Harmonic Quasiconformal Mappings and Hyperbolic Type Metrics
- Approximating fixed points of enriched nonexpansive mappings by Krasnoselskij iteration in Hilbert spaces
- Properties of Fixed Point Spaces
- Some Results on Fixed Points--II
- Some Remarks Concerning Contraction Mappings
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
