A Fixed Point Approach to the Stability of Pexider Quadratic Functional Equation with Involution
<p>Abstract</p> <p>We apply the fixed point method to investigate the Hyers-Ulam stability of the Pexider functional equation <inline-formula> <graphic file="1029-242X-2010-839639-i1.gif"/></inline-formula>, for all <inline-formula> <graphic fil...
Main Authors: | , , , |
---|---|
Format: | Article |
Language: | English |
Published: |
SpringerOpen
2010-01-01
|
Series: | Journal of Inequalities and Applications |
Online Access: | http://www.journalofinequalitiesandapplications.com/content/2010/839639 |
_version_ | 1819061351641776128 |
---|---|
author | Rassias JM Saadati R Vaezpour SM Pourpasha MM |
author_facet | Rassias JM Saadati R Vaezpour SM Pourpasha MM |
author_sort | Rassias JM |
collection | DOAJ |
description | <p>Abstract</p> <p>We apply the fixed point method to investigate the Hyers-Ulam stability of the Pexider functional equation <inline-formula> <graphic file="1029-242X-2010-839639-i1.gif"/></inline-formula>, for all <inline-formula> <graphic file="1029-242X-2010-839639-i2.gif"/></inline-formula>, where <it>E</it> is a normed space and <inline-formula> <graphic file="1029-242X-2010-839639-i3.gif"/></inline-formula> is an involution.</p> |
first_indexed | 2024-12-21T14:41:31Z |
format | Article |
id | doaj.art-88d218f8d0aa46468a4d288a063fc4dc |
institution | Directory Open Access Journal |
issn | 1025-5834 1029-242X |
language | English |
last_indexed | 2024-12-21T14:41:31Z |
publishDate | 2010-01-01 |
publisher | SpringerOpen |
record_format | Article |
series | Journal of Inequalities and Applications |
spelling | doaj.art-88d218f8d0aa46468a4d288a063fc4dc2022-12-21T19:00:10ZengSpringerOpenJournal of Inequalities and Applications1025-58341029-242X2010-01-0120101839639A Fixed Point Approach to the Stability of Pexider Quadratic Functional Equation with InvolutionRassias JMSaadati RVaezpour SMPourpasha MM<p>Abstract</p> <p>We apply the fixed point method to investigate the Hyers-Ulam stability of the Pexider functional equation <inline-formula> <graphic file="1029-242X-2010-839639-i1.gif"/></inline-formula>, for all <inline-formula> <graphic file="1029-242X-2010-839639-i2.gif"/></inline-formula>, where <it>E</it> is a normed space and <inline-formula> <graphic file="1029-242X-2010-839639-i3.gif"/></inline-formula> is an involution.</p>http://www.journalofinequalitiesandapplications.com/content/2010/839639 |
spellingShingle | Rassias JM Saadati R Vaezpour SM Pourpasha MM A Fixed Point Approach to the Stability of Pexider Quadratic Functional Equation with Involution Journal of Inequalities and Applications |
title | A Fixed Point Approach to the Stability of Pexider Quadratic Functional Equation with Involution |
title_full | A Fixed Point Approach to the Stability of Pexider Quadratic Functional Equation with Involution |
title_fullStr | A Fixed Point Approach to the Stability of Pexider Quadratic Functional Equation with Involution |
title_full_unstemmed | A Fixed Point Approach to the Stability of Pexider Quadratic Functional Equation with Involution |
title_short | A Fixed Point Approach to the Stability of Pexider Quadratic Functional Equation with Involution |
title_sort | fixed point approach to the stability of pexider quadratic functional equation with involution |
url | http://www.journalofinequalitiesandapplications.com/content/2010/839639 |
work_keys_str_mv | AT rassiasjm afixedpointapproachtothestabilityofpexiderquadraticfunctionalequationwithinvolution AT saadatir afixedpointapproachtothestabilityofpexiderquadraticfunctionalequationwithinvolution AT vaezpoursm afixedpointapproachtothestabilityofpexiderquadraticfunctionalequationwithinvolution AT pourpashamm afixedpointapproachtothestabilityofpexiderquadraticfunctionalequationwithinvolution AT rassiasjm fixedpointapproachtothestabilityofpexiderquadraticfunctionalequationwithinvolution AT saadatir fixedpointapproachtothestabilityofpexiderquadraticfunctionalequationwithinvolution AT vaezpoursm fixedpointapproachtothestabilityofpexiderquadraticfunctionalequationwithinvolution AT pourpashamm fixedpointapproachtothestabilityofpexiderquadraticfunctionalequationwithinvolution |