Open AccessFixed point approach for solving a system of Volterra integral equations and Lebesgue integral concept in F$ _{\text{CM}} $-spaces
Author(s) -
Hasanen A. Hammad,
Hassen Aydi,
Choonkil Park
Publication year - 2022
Publication title -
aims mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.329
H-Index - 15
ISSN - 2473-6988
DOI - 10.3934/math.2022501
Subject(s) - mathematics , uniqueness , cone (formal languages) , fixed point theorem , daniell integral , volterra integral equation , integral equation , fixed point , context (archaeology) , lebesgue integration , lp space , metric space , pure mathematics , mathematical analysis , discrete mathematics , banach space , fourier integral operator , paleontology , algorithm , biology
The goal of this manuscript is to obtain some tripled fixed point results under a new contractive condition and triangular property in the context of fuzzy cone metric spaces (F$ _{\text{CM}} $-spaces). Moreover, two examples and corollaries are given to validate our work. Ultimately, as applications, the notion of Lebesgue integral is represented by the fuzzy method to discuss the existence of fixed points. Also, the existence and uniqueness solution for a system of Volterra integral equations are studied by the theoretical results.