COMMON FIXED POINT THEOREMS FOR MULTIVALUED MAPPINGS VIA CONE-VALUED MEASURE OF NONCOMPACTNESS

Vo Viet Tri; Donal O’regan

doi:10.24193/fpt-ro.2022.2.18

COMMON FIXED POINT THEOREMS FOR MULTIVALUED MAPPINGS VIA CONE-VALUED MEASURE OF NONCOMPACTNESS

Vo Viet Tri
, Donal O’regan

Mathematics

Thu Dau Mot University

Research output: Contribution to a Journal (Peer & Non Peer) › Article › peer-review

1 Citation (Scopus)

Abstract

We obtain common fixed point theorems for a pair of condensing multivalued mappings with respect to a cone-valued measure of noncompactness under a semi-weakly isotone condition, and we apply it to the system of multivalued differential equations with deviating argument of the form x^′ (t) ∈ f[t, x(t), x(h(t))] and (0.1) x^′ (t) ∈ g[t, x(t), x(h(t))], x(0) = x₀, t ∈ [0, b]. (0.2).

Original language	English
Pages (from-to)	729-740
Number of pages	12
Journal	Fixed Point Theory
Volume	23
Issue number	2
DOIs	https://doi.org/10.24193/fpt-ro.2022.2.18
Publication status	Published - 15 Jun 2022

Keywords

common fixed point
condensing mutivalued mapping
measure of noncompactness
Multivalued equations
semi-weakly isotone

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10.24193/fpt-ro.2022.2.18

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abstract = "We obtain common fixed point theorems for a pair of condensing multivalued mappings with respect to a cone-valued measure of noncompactness under a semi-weakly isotone condition, and we apply it to the system of multivalued differential equations with deviating argument of the form x′ (t) ∈ f[t, x(t), x(h(t))] and (0.1) x′ (t) ∈ g[t, x(t), x(h(t))], x(0) = x0, t ∈ [0, b]. (0.2).",

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AB - We obtain common fixed point theorems for a pair of condensing multivalued mappings with respect to a cone-valued measure of noncompactness under a semi-weakly isotone condition, and we apply it to the system of multivalued differential equations with deviating argument of the form x′ (t) ∈ f[t, x(t), x(h(t))] and (0.1) x′ (t) ∈ g[t, x(t), x(h(t))], x(0) = x0, t ∈ [0, b]. (0.2).

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KW - Multivalued equations

KW - semi-weakly isotone

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IS - 2

ER -

COMMON FIXED POINT THEOREMS FOR MULTIVALUED MAPPINGS VIA CONE-VALUED MEASURE OF NONCOMPACTNESS

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Keywords

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