Ulam-Hyers stability and well-posedness of fixed point problems for [alpha]-[lambda]-contraction mapping in metric spaces

We study Ulam-Hyers stability and the well-posedness of the fixed point problem for new type of generalized contraction mapping, so called [alpha]-[lambda]-contraction mapping. The results in this paper generalize and unify several results in the literature such as the Banach contraction principle.

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Bibliographic Details
Published in:Abstract and applied analysis 2014-01, Vol.2014
Main Authors: Kutbi, Marwan Amin, Sintunavarat, Wutiphol
Format: Article
Language:English
Subjects:
Banach spaces
Fixed point theory
Functions, Inverse
Hypotheses
Mappings (Mathematics)
Markov analysis
Mathematical research
Metric spaces
Ordinary differential equations
Work stations
Online Access:Get full text
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Description
Summary:We study Ulam-Hyers stability and the well-posedness of the fixed point problem for new type of generalized contraction mapping, so called [alpha]-[lambda]-contraction mapping. The results in this paper generalize and unify several results in the literature such as the Banach contraction principle.
ISSN:1085-3375
1687-0409
DOI:10.1155/2014/268230