In this paper, we study a fixed-point problem with set-valued mapping by using an algorithm based on unions of nonexpansive mappings. We show that approximate solution is reached after finite number iterations in the presence computational errors. This result extension results known literature.

Abstract Every non-convex pair $(C, D)$ ( C , D ) may not have proximal normal structure even in a Hilbert space. In this article, we use cyclic relatively nonexpansive maps with respect to orbits show the presence of best proximity points $C...

In this paper, we aimed to introduce a new viscosity-type approximation method for finding the common fixed point of class quasi-pseudocontractive mapping and system monotone inclusion problems in CAT(0) spaces. We proved some fixed-point properties concerning spaces, which is more general than many other mappings such as nonexpansive, quasi-nonexpansive, pseudocontractive demicontractive have ...

In this article, we considered the class of generalized α , β -nonexpansive (GABN) mappings that properly includes all nonexpansive, Suzuki nonexpansive (SN), id="M2"> (GAN), and Reich–Suzuki (RSN) mappings. We used iterative scheme J...

In this paper, we obtain sufficient conditions for the existence of a unique fixed point $T$- mean nonexpansive mapping and an integral type mapping. We also coincidence common Jungck-type in frame work complete metric space. Some examples $T$-mean mappings which are not given. The result obtained generalizes corresponding results direction literature.

Let X be a real Banach space, C a nonempty closed convex subset of X, and T : C → C a mapping. Recall that T is nonexpansive if ‖Tx − Ty‖ ≤ ‖x − y‖ for all x, y ∈ C. Let Ti : C → C, i 1, 2, . . . , r, be nonexpansive mappings. Let Fix Ti denote the fixed points set of Ti, that is, Fix Ti : {x ∈ C : Tix x}, and let F : ⋂r i 1Fix Ti . For a given x1 ∈ C, and a fixed r ∈ N N denote the set of all ...