On the stability of an Euler Lagrange type cubic functional equation using the fixed point method

被引：0

作者：

Haokip, Nehjamang ^{[1
]}

机构：

[1] Churachandpur Coll, Dept Math, Churachandpur 795128, Manipur, India

来源：

INTERNATIONAL JOURNAL OF NONLINEAR ANALYSIS AND APPLICATIONS | 2022年 / 13卷 / 02期

关键词：

Hyers-Ulam-Rassias stability; Euler Lagrange type cubic functional equation; fixed point; ULAM-RASSIAS STABILITY;

D O I：

10.22075/ijnaa.2021.22484.2370

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper establish the existence of solution, and the Hyers-Ulam-Rassias stability of an Euler Lagrange type cubic functional equation using the fixed point method.

引用

页码：1841 / 1848

页数：8

共 20 条

[1] Bahraini A, 2018, J FIX POINT THEORY A, V20, DOI 10.1007/s11784-018-0571-0
[2] BAKER JA, 1980, P AM MATH SOC, V80, P411, DOI 10.2307/2043730
[3] A FIXED POINT THEOREM OF ALTERNATIVE FOR CONTRACTIONS ON A GENERALIZED COMPLETE METRIC SPACE
DIAZ, JB
MARGOLIS, B
[J]. BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY, 1968, 74 (02) : 305 - &
[4] A GENERALIZATION OF THE HYERS-ULAM-RASSIAS STABILITY OF APPROXIMATELY ADDITIVE MAPPINGS
GAVRUTA, P
[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1994, 184 (03) : 431 - 436
[5] Solution and stability of generalized mixed type cubic, quadratic and additive functional equation in quasi-Banach spaces
Gordji, M. Eshaghi
Khodaei, H.
[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2009, 71 (11) : 5629 - 5643
[6] ON ORTHOGONAL SETS AND BANACH FIXED POINT THEOREM
Gordji, Madjid Eshaghi
Rameani, Maryam
De La Sen, Manuel
Cho, Yeol Je
[J]. FIXED POINT THEORY, 2017, 18 (02): : 569 - 578
[7] On approximate homomorphisms: a fixed point approach
Madjid Eshaghi Gordji
Zahra Alizadeh
Hamid Khodaei
Choonkil Park
[J]. Mathematical Sciences, 2012, 6 (1)
[8] Haokip N., 2020, ADV MATH SCI J, V9, P8443
[9] On the stability of the linear functional equation
Hyers, DH
[J]. PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA, 1941, 27 : 222 - 224
[10] Solution and Stability of a Cubic Functional Equation
Jun, Kil Woung
Lee, Sang Baek
Park, Won Gil
[J]. ACTA MATHEMATICA SINICA-ENGLISH SERIES, 2010, 26 (07) : 1255 - 1262

← 1 2 →