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EXISTENCE AND UNIQUENESS INTEGRAL EQUATIONS IN C*-ALGEBRA-VALUED Sb-METRIC SPACES BY SOME COUPLED FIXED POINT THEOREMS.

Authors :
Razavi, Seyede Samira
Masiha, Hashem Parvaneh
Source :
Publications de l'Institut Mathématique. 2024, Vol. 115 Issue 129, p131-144. 14p.
Publication Year :
2024

Abstract

We study some coupled fixed point theorems in C*-algebra-valued Sb-metric spaces. As applications, existence and uniqueness results for one type of integral equation x(t)= ∫E (K1(t,s) + K2(t,s)))f(s,x(s)) + g(s, x(s)))ds +h(t), t∈E where E is the Lebesque measurable set and m(E) < +∞, and under some other conditions are given. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
03501302
Volume :
115
Issue :
129
Database :
Academic Search Index
Journal :
Publications de l'Institut Mathématique
Publication Type :
Academic Journal
Accession number :
177790584
Full Text :
https://doi.org/10.2298/PIM2429131R