Author:
Gülyaz Selma,Karapınar Erdal,Rakocević Vladimir,Salimi Peyman
Abstract
Abstract
In this paper, we establish a solution to the following integral equation:
u
(
t
)
=
∫
0
T
G
(
t
,
s
)
f
(
s
,
u
(
s
)
)
d
s
for all
t
∈
[
0
,
T
]
,
where
T
>
0
,
f
:
[
0
,
T
]
×
R
→
R
and
G
:
[
0
,
T
]
×
[
0
,
T
]
→
[
0
,
∞
)
are continuous functions. For this purpose, we also obtain some auxiliary fixed point results which generalize, improve and unify some fixed point theorems in the literature.
MSC:47H10, 54H25.
Publisher
Springer Science and Business Media LLC
Subject
Applied Mathematics,Discrete Mathematics and Combinatorics,Analysis
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