The Results on the Existence of Fixed Points in Hilbert Spaces via Functions of Class C

被引：0

作者：

Donganont, Mana ^{[1
]}

Ansari, Arsalan Hojjat ^{[2
]}

Maksimovic, Snjezana ^{[3
]}

Mitrovic, Zoran D. ^{[4
]}

机构：

[1] Univ Phayao, Sch Sci, Phayao 56000, Thailand

[2] Sefako Makgatho Hlth Sci Univ, Dept Math & Appl Math, ZA-0204 Pretoria, South Africa

[3] Univ Banja Luka, Fac Architecture Civil Engn & Geodesy, Banja Luka, Bosnia & Herceg

[4] Univ Banja Luka, Fac Elect Engn, Patre 5, Banja Luka 78000, Bosnia & Herceg

来源：

SAHAND COMMUNICATIONS IN MATHEMATICAL ANALYSIS | 2025年 / 22卷 / 01期

关键词：

Fixed point; Hilbert space; C- class function; Altering distance function; CONTRACTION TYPE MAPPINGS; THEOREMS;

D O I：

10.22130/scma.2024.2026714.1697

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, we obtain a result on the existence of fixed points in Hilbert space using functions of class C. Recently, Chouhan and Desai published a paper [Some Common Fixed-Point Theorems in Hilbert Space, J. Eemerg. Technol. Innov. Res., 2022, 9(10), 1-12]. We observed an error in the proof of Theorem 3.2 on page d316 of their paper. Using the C- class of functions, we have corrected this error and improved their result.

引用

页码：149 / 161

页数：14

共 19 条

[1]

Ansari A. H., 2014, 2 REG C MATH APPL PA, P377

[2] C-class functions on fixed and common fixed point results for cyclic mappings of Ω-distance [J].