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

Publish place: Sahand Communications in Mathematical Analysis، Vol: 22، Issue: 1
Publish Year: 1404
Type: Journal paper
Language: English
View: 69

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Link to this Paper:
https://civilica.com/doc/2172619

Document National Code:

JR_SCMA-22-1_010

Index date: 4 February 2025

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

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

Fixed point , Hilbert space , C-class function , Altering distance function

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

Mana Donganont

School of Science, University of Phayao, Phayao ۵۶۰۰۰, Thailand.

Arsalan Ansari

Department of Mathematics and Applied Mathematics, Sefako Makgatho Health Sciences University, Ga-Rankuwa, Pretoria, Medunsa-۰۲۰۴, South Africa.

Snjezana Maksimovic

Faculty of Architecture, Civil Engineering and Geodesy, University of Banja Luka, Bosnia and Herzegovina.

Zoran Mitrovic

Faculty of Electrical Engineering, University of Banja Luka, Patre ۵, ۷۸۰۰۰ Banja Luka, Bosnia and Herzegovina.

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