A Characterization of Multi-Mixed Additive-Quadratic Mappings and a Fixed Point Application

被引：4

作者：

Falihi, S. ^{[1
]}

Bodaghi, A. ^{[2
]}

Shojaee, B. ^{[1
]}

机构：

[1] Islamic Azad Univ, Karaj Branch, Karaj, Iran

[2] Islamic Azad Univ, Garmsar Branch, Garmsar, Iran

来源：

JOURNAL OF CONTEMPORARY MATHEMATICAL ANALYSIS-ARMENIAN ACADEMY OF SCIENCES | 2020年 / 55卷 / 04期

关键词：

Banach space; generalized Hyers-Ulam stability; multi-mixed additive-quadratic mapping; fixed point method; HYERS-ULAM STABILITY; FUNCTIONAL-EQUATION;

D O I：

10.3103/S1068362320040044

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we introduce n-variables mappings which are mixed additive-quadratic in each variable. We show that such mappings can be described by a equation, namely, by a multi-mixed additive-quadratic functional equation. The main goal is to extend the applications of a fixed point method to establish the Hyers-Ulam stability for the multi-mixed additive-quadratic mappings.

引用

页码：235 / 247

页数：13

共 39 条

[1]

[Anonymous], 2004, Problems in Modern Mathematics

[2]

Aoki T., 1950, J Math Soc Jpn, V2, P64, DOI [DOI 10.2969/JMSJ/00210064, 10.2969/jmsj/00210064]

[3] ON STABILITY AND HYPERSTABILITY OF AN EQUATION CHARACTERIZING MULTI-ADDITIVE MAPPINGS [J].

Bahyrycz, Anna .

FIXED POINT THEORY, 2017, 18 (02) :445-456

[4] ON AN EQUATION CHARACTERIZING MULTI-CAUCHY-JENSEN MAPPINGS AND ITS HYERS-ULAM STABILITY [J].

Bahyrycz, Anna ;

Cieplinski, Krzysztof ;

Olko, Jolanta .

ACTA MATHEMATICA SCIENTIA, 2015, 35 (06) :1349-1358

[5] On an equation characterizing multi-additive-quadratic mappings and its Hyers-Ulam stability [J].

Bahyrycz, Anna ;

Cieplinski, Krzysztof ;

Olko, Jolanta .

APPLIED MATHEMATICS AND COMPUTATION, 2015, 265 :448-455

[6]

Bodaghi A., ARXIV190709378V2

[7] Multiquartic functional equations [J].

Bodaghi, Abasalt ;

Park, Choonkil ;

Mewomo, Oluwatosin T. .

ADVANCES IN DIFFERENCE EQUATIONS, 2019, 2019 (01)

[8]

Bodaghi A, 2017, BOL SOC PARANA MAT, V35, P43, DOI 10.5269/bspm.v35i1.29014

[9] Intuitionistic fuzzy stability of the generalized forms of cubic and quartic functional equations [J].

Bodaghi, Abasalt .

JOURNAL OF INTELLIGENT & FUZZY SYSTEMS, 2016, 30 (04) :2309-2317

[10] ULAM'S TYPE STABILITY OF A FUNCTIONAL EQUATION DERIVING FROM QUADRATIC AND ADDITIVE FUNCTIONS [J].

Bodaghi, Abasalt ;

Kim, Sang Og .

JOURNAL OF MATHEMATICAL INEQUALITIES, 2015, 9 (01) :73-84

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