One-step iterative process for a finite family of multivalued mappings

M-step Iterative Process for a Finite Family of Multivalued Generalized Nonexpansive Mappings in Cat(0) Spaces

In this paper, we introduce a new m-step iterative process for a finite family of multivalued mappings satisfying the condition (E). We then prove some strong and ∆-convergence theorems in CAT(0) spaces. In this way, we extend results of [8].

A new one-step iterative process for approximating common fixed points of a countable family of quasi-nonexpansive multi-valued mappings in CAT(0) spaces

‎In this paper‎, ‎we propose a new one-step iterative process for a‎ ‎countable family of quasi-nonexpansive multi-valued mappings in a‎ ‎CAT(0) space‎. ‎We also prove strong and $Delta$-convergence theorems‎ ‎of the proposed iterative process under some control conditions‎. ‎Our‎ ‎main results extend and generalize many results in the literature.

Multi - step iterative process with errors for common fixed points of a finite family of nonexpansive mappings ∗

In this paper, we study a multi-step iterative scheme with errors involving N nonexpansive mappings in the Banach space. Some weak and strong convergence theorems for approximation of common fixed points of nonexpansive mappings are proved using this iteration scheme. The results extend and improve the corresponding results of [1].

A New Composite Implicit Iterative Process for a Finite Family of Nonexpansive Mappings in Banach Spaces

Strong Convergence of a Multi-step Iterative Process for Relatively Quasi-nonexpansive Multivalued Mappings and Equilibrium Problem in Banach Spaces

Let E be a real Banach space with norm ∥.∥ and let J be the normalized duality mapping from E into 2E ∗ given by Jx = {x∗ ∈ E∗ : ⟨x, x∗⟩ = ∥x∥∥x∗∥, ∥x∥ = ∥x∗∥} for all x ∈ E, where E∗ denotes the dual space of E and ⟨., .⟩ denotes the generalized duality pairing between E and E∗. A Banach space E is said to be strictly convex if ∥ 2 ∥ < 1 for all x, y ∈ E with ∥x∥ = ∥y∥ = 1 and x ̸= y. It is sai...