Mann–Dotson’s algorithm for a countable family of non-self strict pseudo-contractive mappings

Fixed point iteration for a countable family of multi-valued strictly pseudo-contractive-type mappings

This paper introduces a new averaged algorithm for finding a common fixed point of a countably infinite family of generalized k-strictly pseudocontractive multi-valued mappings. The new iterative sequence introduced is proved to be an approximating fixed point sequence for common fixed points of a countably infinite family of this class of mappings. Furthermore, under some mild assumptions, str...

Modified Noor iterations for infinite family of strict pseudo-contraction mappings

A Fixed Point Theorem for Contractive Non-self Mappings

We establish a fixed point theorem for certain non-self mappings of contractive type which take a nonempty and closed subset of a complete metric space X into X.

Viscosity Approximation Methods for Strict Pseudo-Contractive Nonself-Mappings in Hilbert Spaces

In this paper, we introduce a new iterative scheme by viscosity approximation methods for strict pseudo-contractive nonself-mappings in Hilbert spaces and obtain a strong convergence theorem. The theorem improves and extends the result of Shimizu and Takahashi [T. Shimizu, W. Takahashi, Strong convergence to common fixed points of families of nonexpansive mappings, J. Math. Anal. Appl. 211 (199...

Iterative methods for k-strict pseudo-contractive mappings in Hilbert spaces

In this paper, we investigate two iterative methods for k-strict pseudocontractive mappings in a real Hilbert space. We prove that the proposed iterative algorithms converge strongly to some fixed point of a strict pseudo-contractive mapping.