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Viscosity approximations with φ-contractive mappings
Journal article   Open access

Viscosity approximations with φ-contractive mappings

Deepak Khantwal, J L Mamabolo and Rajendra Prasad Pant
Mathematica Moravica, (2), pp.33-48
2025
Handle:
https://hdl.handle.net/10210/518162

Abstract

This paper investigates the viscosity approximation method with a general class of φ-contractive mappings. We demonstrate that Moudafi's viscosity approximation scheme can be derived from Brow-der and Halpern-type convergence theorems. Our results extend several existing convergence theorems. Finally, we present a series of deduced results based on these findings. We also present an application of the obtained results to split feasibility problems.
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