Convergence Theorems for Nonspreading Type Mappings in Hilbert Spaces

Masoumeh Beheshti; Mahdi Azhini

doi:10.17485/ijst/2015/v8i15/52700

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Convergence Theorems for Nonspreading Type Mappings in Hilbert Spaces

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Indian Journal of Science and Technology

DOI: 10.17485/ijst/2015/v8i15/52700

Year: 2015, Volume: 8, Issue: 15, Pages: 1-10

Original Article

Convergence Theorems for Nonspreading Type Mappings in Hilbert Spaces

Masoumeh Beheshti, Mahdi Azhini*

Department of Mathematics, Science and Research Branch, Islamic Azad University, Tehran, Iran;

[email protected], [email protected]

Received Date:11 May 2015, Accepted Date:22 July 2015, Published Date:12 August 2015

This work is licensed under a Creative Commons Attribution 4.0 International License.

Abstract

In this paper first we give a weak convergence ergodic theorem for K-strictly pseudo-nonspreading mapping in Ishikawa iteration scheme, motivated by Kurokawa and Takahashi in ⁹ . Then we deal with a strong convergence theorem for nonspreading mappings in a Hillbert space. Our results improve and extend Kurokawa and Takahashi result.

Keywords: Fixed Point, k-Sgtrictly Pseudo-Nonspreading Mapping, Nonspreading Mapping, Strong Convergence, Weak Convergence