Existence and Approximation of Attractive Points of the Widely More Generalized Hybrid Mappings in Hilbert Spaces
Joint Authors
Source
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-06-27
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Abstract EN
We study the widely more generalized hybrid mappings which have been proposed to unify several well-known nonlinear mappings including the nonexpansive mappings, nonspreading mappings, hybrid mappings, and generalized hybrid mappings.
Without the convexity assumption, we will establish the existence theorem and mean convergence theorem for attractive point of the widely more generalized hybrid mappings in a Hilbert space.
Moreover, we prove a weak convergence theorem of Mann’s type and a strong convergence theorem of Shimizu and Takahashi’s type for such a wide class of nonlinear mappings in a Hilbert space.
Our results can be viewed as a generalization of Kocourek, Takahashi and Yao, and Hojo and Takahashi where they studied the generalized hybrid mappings.
American Psychological Association (APA)
Guu, Sy-Ming& Takahashi, Wataru. 2013. Existence and Approximation of Attractive Points of the Widely More Generalized Hybrid Mappings in Hilbert Spaces. Abstract and Applied Analysis،Vol. 2013, no. 2013, pp.1-10.
https://search.emarefa.net/detail/BIM-506801
Modern Language Association (MLA)
Guu, Sy-Ming& Takahashi, Wataru. Existence and Approximation of Attractive Points of the Widely More Generalized Hybrid Mappings in Hilbert Spaces. Abstract and Applied Analysis No. 2013 (2013), pp.1-10.
https://search.emarefa.net/detail/BIM-506801
American Medical Association (AMA)
Guu, Sy-Ming& Takahashi, Wataru. Existence and Approximation of Attractive Points of the Widely More Generalized Hybrid Mappings in Hilbert Spaces. Abstract and Applied Analysis. 2013. Vol. 2013, no. 2013, pp.1-10.
https://search.emarefa.net/detail/BIM-506801
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-506801