New accelerated iterative algorithm for \(\mathbf{(\lambda,\rho)}\)-quasi firmly nonexpansive multiValued mappings

In this paper, introduced a new accelerated iterative algorithm in \((\lambda,\rho )\) -quasi firmly nonexpansive multi-valued mappings in modular function spaces and present some results for convergence to a fixed point in this mapping, we use faster convergence theorem to comparison our iteration with some other iterations and introduced numerical example. As an application, we have referred to previous work by other researchers.

Keywords:

Multivalued mappings , quasi firmly nonexpansive mappings , modular function spaces , iterative scheme , Fixed point