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Existence-uniqueness and iterative methods for right focal point boundary value problems for differential equations with deviating arguments

100%
Agarwal R. P.
Annales Polonici Mathematici
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1990-1991
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tom 52
|
nr 3
211-230
2

Fixed point theory for multimaps defined on closed subsets of Fréchet spaces: the projective limit approach

72%
Agarwal R. P., O’Regan D.
Commentationes Mathematicae
|
2006
|
tom 46
|
nr 2
EN
New fixed point results are presented for maps defined on closed subsets of a Fréchet space \(E\). The proof relies on fixed point results in Banach spaces and viewing \(E\) as the projective limit of a sequence of Banach spaces.
3
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Solution to Fredholm integral inclusions via ( F, δ b )-contractions

59%
Nashine H. K., Agarwal R. P., Kadelburg Z.
Open Mathematics
|
2016
|
tom 14
|
nr 1
1053-1064
EN
We present sufficient conditions for the existence of solutions of Fredholm integral inclusion equations using new sort of contractions, named as multivalued almost F -contractions and multivalued almost F -contraction pairs under ı-distance, defined in b-metric spaces. We give its relevance to fixed point results in orbitally complete b-metric spaces. To rationalize the notions and outcome, we illustrate the appropriate examples.
4
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Periodicity, almost periodicity for time scales and related functions

59%
Wang C., Agarwal R. P., O’Regan D.
Nonautonomous Dynamical Systems
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2016
|
tom 3
|
nr 1
24-41
EN
In this paper, we study almost periodic and changing-periodic time scales considered byWang and Agarwal in 2015. Some improvements of almost periodic time scales are made. Furthermore, we introduce a new concept of periodic time scales in which the invariance for a time scale is dependent on an translation direction. Also some new results on periodic and changing-periodic time scales are presented.
5

Approximate homomorphisms and derivation in multi-Banach algebras

59%
Agarwal R. P., Cho Y. J., Park C., Saadati R.
Commentationes Mathematicae
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2011
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tom 51
|
nr 1
EN
Using fixed point methods, we prove the generalized Hyers-Ulam stability of homomorphisms in multi-Banach algebras and derivations on multi-Banach algebras for the additive functional equation \[ \sum_{i=1}^m f\left(mx_i+\sum_{j=1, j\not=i}^m x_j\right) + f\left(\sum_{i=1}^m x_i\right) = 2 f \left(\sum_{i=1}^{m} mx_i\right) \] for each \(m\in \mathbb{N}\) with \(m\geq 2\).
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