Stability results of the functional equation deriving from quadratic function in random normed spaces
The authors introduce a finite variable quadratic functional equation and derive its solution. Also, authors examine its Hyers-Ulam stability in Random Normed space(RN-space) by means of two different methods.
| Main Authors: | , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
AIMS Press
2021-01-01
|
| Series: | AIMS Mathematics |
| Subjects: | |
| Online Access: | http://www.aimspress.com/article/doi/10.3934/math.2021145?viewType=HTML |
| id |
doaj-d4c4804eb9264fc39486e8be136683be |
|---|---|
| record_format |
Article |
| spelling |
doaj-d4c4804eb9264fc39486e8be136683be2021-01-07T02:19:42ZengAIMS PressAIMS Mathematics2473-69882021-01-01632385239710.3934/math.2021145Stability results of the functional equation deriving from quadratic function in random normed spacesNazek Alessa0K. Tamilvanan1G. Balasubramanian2K. Loganathan31. Department of Mathematical Sciences, Faculty of Science, Princess Nourah Bint Abdulrahman University, Riyadh, Saudi Arabia2. Department of Mathematics, Government Arts College for Men, Krishnagiri-635 001, Tamil Nadu, India2. Department of Mathematics, Government Arts College for Men, Krishnagiri-635 001, Tamil Nadu, India3. Department of Mathematics, Erode Arts & Science College, Erode-638 009, Tamil Nadu, IndiaThe authors introduce a finite variable quadratic functional equation and derive its solution. Also, authors examine its Hyers-Ulam stability in Random Normed space(RN-space) by means of two different methods.http://www.aimspress.com/article/doi/10.3934/math.2021145?viewType=HTMLquadratic functional equationhyers-ulam stabilityfixed point theoryrandom normed spaces |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Nazek Alessa K. Tamilvanan G. Balasubramanian K. Loganathan |
| spellingShingle |
Nazek Alessa K. Tamilvanan G. Balasubramanian K. Loganathan Stability results of the functional equation deriving from quadratic function in random normed spaces AIMS Mathematics quadratic functional equation hyers-ulam stability fixed point theory random normed spaces |
| author_facet |
Nazek Alessa K. Tamilvanan G. Balasubramanian K. Loganathan |
| author_sort |
Nazek Alessa |
| title |
Stability results of the functional equation deriving from quadratic function in random normed spaces |
| title_short |
Stability results of the functional equation deriving from quadratic function in random normed spaces |
| title_full |
Stability results of the functional equation deriving from quadratic function in random normed spaces |
| title_fullStr |
Stability results of the functional equation deriving from quadratic function in random normed spaces |
| title_full_unstemmed |
Stability results of the functional equation deriving from quadratic function in random normed spaces |
| title_sort |
stability results of the functional equation deriving from quadratic function in random normed spaces |
| publisher |
AIMS Press |
| series |
AIMS Mathematics |
| issn |
2473-6988 |
| publishDate |
2021-01-01 |
| description |
The authors introduce a finite variable quadratic functional equation and derive its solution. Also, authors examine its Hyers-Ulam stability in Random Normed space(RN-space) by means of two different methods. |
| topic |
quadratic functional equation hyers-ulam stability fixed point theory random normed spaces |
| url |
http://www.aimspress.com/article/doi/10.3934/math.2021145?viewType=HTML |
| work_keys_str_mv |
AT nazekalessa stabilityresultsofthefunctionalequationderivingfromquadraticfunctioninrandomnormedspaces AT ktamilvanan stabilityresultsofthefunctionalequationderivingfromquadraticfunctioninrandomnormedspaces AT gbalasubramanian stabilityresultsofthefunctionalequationderivingfromquadraticfunctioninrandomnormedspaces AT kloganathan stabilityresultsofthefunctionalequationderivingfromquadraticfunctioninrandomnormedspaces |
| _version_ |
1724346859969839104 |