Indian Journal of Science and Technology

Open Access Open Access  Restricted Access Subscription Access

Convergence Theorems for Nonspreading Type Mappings in Hilbert Spaces


Affiliations
1 Department of Mathematics, Science and Research Branch, Islamic Azad University, Tehran, Iran, Islamic Republic of
 

In this paper first we give a weak convergence ergodic theorem for K-strictly pseudo-nonspreading and nonspreading mapping in Ishikawa iteration scheme, motivated by Kurokawa and Takahashi in9. Then we deal with a strong convergence theorem for nonspreading mappings in a Hilbert space. Our results improve and extend Kurokawa and Takahashi result.

Keywords

Fixed Point, k-Strictly Peseudo-Nonspreading Mapping, Nonspreading Mapping, Strong Convergence, Weak Convergence
User

Abstract Views: 258

PDF Views: 0




  • Convergence Theorems for Nonspreading Type Mappings in Hilbert Spaces

Abstract Views: 258  |  PDF Views: 0

Authors

Masoumeh Beheshti
Department of Mathematics, Science and Research Branch, Islamic Azad University, Tehran, Iran, Islamic Republic of
Mahdi Azhini
Department of Mathematics, Science and Research Branch, Islamic Azad University, Tehran, Iran, Islamic Republic of

Abstract


In this paper first we give a weak convergence ergodic theorem for K-strictly pseudo-nonspreading and nonspreading mapping in Ishikawa iteration scheme, motivated by Kurokawa and Takahashi in9. Then we deal with a strong convergence theorem for nonspreading mappings in a Hilbert space. Our results improve and extend Kurokawa and Takahashi result.

Keywords


Fixed Point, k-Strictly Peseudo-Nonspreading Mapping, Nonspreading Mapping, Strong Convergence, Weak Convergence



DOI: https://doi.org/10.17485/ijst%2F2015%2Fv8i15%2F75319