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

Mana Donganont; Arsalan Hojjat Ansari; Snježana Maksimović; Zoran D. Mitrović

doi:10.22130/scma.2024.2026714.1697

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

Mana Donganont
, Arsalan Hojjat Ansari
, Snježana Maksimović
, Zoran D. Mitrović^*

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

Abstract

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.

Original language	English
Pages (from-to)	149-161
Number of pages	13
Journal	Sahand Communications in Mathematical Analysis
Volume	22
Issue number	1
DOIs	https://doi.org/10.22130/scma.2024.2026714.1697
Publication status	Published - Jan 2025
Externally published	Yes

Keywords

Altering distance function
C−class function
Fixed point
Hilbert space

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10.22130/scma.2024.2026714.1697

Cite this

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abstract = "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.",

keywords = "Altering distance function, C−class function, Fixed point, Hilbert space",

author = "Mana Donganont and Ansari, \{Arsalan Hojjat\} and Snje{\v z}ana Maksimovi{\'c} and Mitrovi{\'c}, \{Zoran D.\}",

year = "2025",

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AU - Maksimović, Snježana

AU - Mitrović, Zoran D.

PY - 2025/1

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AB - 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.

KW - Altering distance function

KW - C−class function

KW - Fixed point

KW - Hilbert space

UR - https://www.scopus.com/pages/publications/85213883123

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JO - Sahand Communications in Mathematical Analysis

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ER -

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

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Keywords

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