TY - JOUR
T1 - The Results on the Existence of Fixed Points in Hilbert Spaces via Functions of Class C
AU - Donganont, Mana
AU - Ansari, Arsalan Hojjat
AU - Maksimović, Snježana
AU - Mitrović, Zoran D.
N1 - Publisher Copyright:
© 2025 University of Maragheh. All rights reserved.
PY - 2025/1
Y1 - 2025/1
N2 - 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.
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 - http://www.scopus.com/inward/record.url?scp=85213883123&partnerID=8YFLogxK
U2 - 10.22130/scma.2024.2026714.1697
DO - 10.22130/scma.2024.2026714.1697
M3 - Article
AN - SCOPUS:85213883123
SN - 2322-5807
VL - 22
SP - 149
EP - 161
JO - Sahand Communications in Mathematical Analysis
JF - Sahand Communications in Mathematical Analysis
IS - 1
ER -