On Reich Type Λ - Α-Nonexpansive Mapping in Banach Spaces With Applications To <i>l</I><sub>1<
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Date
2018
Journal Title
Journal ISSN
Volume Title
Publisher
Univ Politecnica Valencia, Editorial Upv
Open Access Color
GOLD
Green Open Access
Yes
OpenAIRE Downloads
84
OpenAIRE Views
65
Publicly Funded
No
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Average
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Abstract
In this manuscript we introduce a new class of monotone generalized nonexpansive mappings and establish some weak and strong convergence theorems for Krasnoselskii iteration in the setting of a Banach space with partial order. We consider also an application to the space L-1([0, 1]). Our results generalize and unify the several related results in the literature.
Description
KARAPINAR, ERDAL/0000-0002-6798-3254
ORCID
Keywords
fixed point, Krasnoselskii iteration, monotone mapping, Reich type lambda - alpha-nonexpansive mapping, optial property, QA299.6-433, Optial property, Krasnoselskii iteration, Fixed point, Monotone mapping, fixed point, monotone mapping, QA1-939, Reich type λ−α-nonexpansive mapping, optial property, Mathematics, Analysis
Turkish CoHE Thesis Center URL
Fields of Science
01 natural sciences, 0101 mathematics
Citation
WoS Q
Q2
Scopus Q
Q2
OpenCitations Citation Count
1
Source
Applied General Topology
Volume
19
Issue
2
Start Page
291
End Page
305
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1
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1
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