Iterative approximation of common attractive points of further generalized hybrid mappings

Our purpose in this paper is (i) to introduce the concept of further generalized hybrid mappings, (ii) to introduce the concept of common attractive points (CAP), and (iii) to write and use Picard-Mann iterative process for two mappings. We approximate common attractive points of further generalized...

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Bibliographic Details
Published in:Fixed point theory and applications (Hindawi Publishing Corporation) Vol. 2018; no. 1; pp. 1 - 10
Main Author: Khan, Safeer Hussain
Format: Journal Article
Language:English
Published: Cham Springer International Publishing 05.03.2018
SpringerOpen
Subjects:
Analysis
Applications of Mathematics
Common attractive points
Differential Geometry
Further generalized hybrid mappings
Iterative Methods and Optimization Algorithms: A Dedication to Dr. Hong-Kun Xu
Mathematical and Computational Biology
Mathematics
Mathematics and Statistics
Topology
Weak convergence
Weak convergence
47H09
Further generalized hybrid mappings
47H10
Common attractive points
47H99
ISSN:1687-1812, 1687-1812
Online Access:Get full text
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Summary:Our purpose in this paper is (i) to introduce the concept of further generalized hybrid mappings, (ii) to introduce the concept of common attractive points (CAP), and (iii) to write and use Picard-Mann iterative process for two mappings. We approximate common attractive points of further generalized hybrid mappings by using iterative process due to Khan (Fixed Point Theory Appl. 2013:69, 2013 , https://doi.org/10.1186/1687-1812-2013-69 ) generalized to the case of two mappings in Hilbert spaces without closedness assumption. Our results are generalizations and improvements of several results in the literature in different ways.
ISSN:1687-1812
1687-1812
DOI:10.1186/s13663-018-0633-4