On the Generalized Ulam-Hyers-Rassias Stability of Quadratic Mappings in Modular Spaces without Δ2-Conditions

On the Generalized Ulam-Hyers-Rassias Stability of Quadratic Mappings in Modular Spaces without Δ2-Conditions

We approach the generalized Ulam-Hyers-Rassias (briefly, UHR) stability of quadratic functional equations via the extensive studies of fixed point theory. Our results are obtained in the framework of modular spaces whose modulars are lower semicontinuous (briefly, lsc) but do not satisfy any relativ...

Full description

Bibliographic Details
Main Authors: Kittipong Wongkum, Parin Chaipunya, Poom Kumam
Format: Article
Language:English
Published: Hindawi Limited 2015-01-01
Series:Journal of Function Spaces
Online Access:http://dx.doi.org/10.1155/2015/461719
id doaj-ba36915b25bf4fde9fbac9718c42a6df
record_format Article
spelling doaj-ba36915b25bf4fde9fbac9718c42a6df2020-11-24T21:45:01ZengHindawi LimitedJournal of Function Spaces2314-88962314-88882015-01-01201510.1155/2015/461719461719On the Generalized Ulam-Hyers-Rassias Stability of Quadratic Mappings in Modular Spaces without Δ2-ConditionsKittipong Wongkum0Parin Chaipunya1Poom Kumam2Department of Mathematics, Faculty of Science, King Mongkut’s University of Technology Thonburi (KMUTT), 126 Pracha Uthit Road, Bang Mod, Thung Khru, Bangkok 10140, ThailandDepartment of Mathematics, Faculty of Science, King Mongkut’s University of Technology Thonburi (KMUTT), 126 Pracha Uthit Road, Bang Mod, Thung Khru, Bangkok 10140, ThailandDepartment of Mathematics, Faculty of Science, King Mongkut’s University of Technology Thonburi (KMUTT), 126 Pracha Uthit Road, Bang Mod, Thung Khru, Bangkok 10140, ThailandWe approach the generalized Ulam-Hyers-Rassias (briefly, UHR) stability of quadratic functional equations via the extensive studies of fixed point theory. Our results are obtained in the framework of modular spaces whose modulars are lower semicontinuous (briefly, lsc) but do not satisfy any relatives of Δ2-conditions.http://dx.doi.org/10.1155/2015/461719
collection DOAJ
language English
format Article
sources DOAJ
author Kittipong Wongkum
Parin Chaipunya
Poom Kumam
spellingShingle Kittipong Wongkum
Parin Chaipunya
Poom Kumam
On the Generalized Ulam-Hyers-Rassias Stability of Quadratic Mappings in Modular Spaces without Δ2-Conditions
Journal of Function Spaces
author_facet Kittipong Wongkum
Parin Chaipunya
Poom Kumam
author_sort Kittipong Wongkum
title On the Generalized Ulam-Hyers-Rassias Stability of Quadratic Mappings in Modular Spaces without Δ2-Conditions
title_short On the Generalized Ulam-Hyers-Rassias Stability of Quadratic Mappings in Modular Spaces without Δ2-Conditions
title_full On the Generalized Ulam-Hyers-Rassias Stability of Quadratic Mappings in Modular Spaces without Δ2-Conditions
title_fullStr On the Generalized Ulam-Hyers-Rassias Stability of Quadratic Mappings in Modular Spaces without Δ2-Conditions
title_full_unstemmed On the Generalized Ulam-Hyers-Rassias Stability of Quadratic Mappings in Modular Spaces without Δ2-Conditions
title_sort on the generalized ulam-hyers-rassias stability of quadratic mappings in modular spaces without δ2-conditions
publisher Hindawi Limited
series Journal of Function Spaces
issn 2314-8896
2314-8888
publishDate 2015-01-01
description We approach the generalized Ulam-Hyers-Rassias (briefly, UHR) stability of quadratic functional equations via the extensive studies of fixed point theory. Our results are obtained in the framework of modular spaces whose modulars are lower semicontinuous (briefly, lsc) but do not satisfy any relatives of Δ2-conditions.
url http://dx.doi.org/10.1155/2015/461719
work_keys_str_mv AT kittipongwongkum onthegeneralizedulamhyersrassiasstabilityofquadraticmappingsinmodularspaceswithoutd2conditions
AT parinchaipunya onthegeneralizedulamhyersrassiasstabilityofquadraticmappingsinmodularspaceswithoutd2conditions
AT poomkumam onthegeneralizedulamhyersrassiasstabilityofquadraticmappingsinmodularspaceswithoutd2conditions
_version_ 1725907147514970112

Similar Items