Inertial viscosity fixed point algorithms for monotone inclusion, convex minimization, and image restoration problems
Abstract
Anovel inertial viscosity iterative algorithm approximates a common fixed point of an infinite family of nonexpansive mappings in a Hilbert space is introduced and studied. The proposed method’s strong convergence theorem was proved under suitable control conditions. Furthermore, we applied our results to solve monotone inclusion, convex minimization, and image restoration problems. We also achieve the viscosity approximationmethodwithinertialeffect in a novelaccelerated imagerestoration form. Toillustrate the efficacy of our method, weprovide a numberofnumerical examples. We emphasize that the results accounted for in the manuscript extend and complement various results in this field of study.
Fields of Study & Subjects
Optimization and Variational Analysis
Advanced Optimization Algorithms Research
Numerical methods in inverse problems
Publication details
- Journal / source
- Carpathian Journal of Mathematics
- Publisher
- Technical University of Cluj Napoca, North University Center of Baia Mare
- Volume
- 42
- Issue
- 2
- Pages
- 411–438
- Publication date
- 14 February 2026