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A Fixed Point Theorem for a System of Pachpatte Operator Equations

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Date

2021

Journal Title

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Volume Title

Publisher

Springer Basel Ag

Open Access Color

Green Open Access

Yes

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Abstract

In this paper, we investigate sufficient conditions for the existence of solutions to the system {Tx=x, alpha(i)(x)=0(E), i = 1,2, ... r, where 0(E) is the zero vector of E, and alpha(i) : E -> E i = 1, 2, ... , r are mappings, T is a mapping satisfying the Pachpatte-contraction.

Description

Keywords

Fixed Point, Metric Space, Banach Space, Level Closed, Level Closed, Fixed Point, Banach Space, Metric Space, Fixed-point theorems, fixed point, Fixed-point and coincidence theorems (topological aspects), cone metric space, level closed, cone Banach space, Contraction-type mappings, nonexpansive mappings, \(A\)-proper mappings, etc.

Fields of Science

0101 mathematics, 01 natural sciences

Citation

Karapınar, Erdal; Öztürk, Ali; Rakocevic, Vladimir (2021). "A fixed point theorem for a system of Pachpatte operator equations", Aequationes Mathematicae, Vol. 95, No. 2, pp. 245-254.

WoS Q

Q2

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Q3
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OpenCitations Citation Count
1

Source

Aequationes mathematicae

Volume

95

Issue

2

Start Page

245

End Page

254
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Scopus : 2

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Mendeley Readers : 2

SCOPUS™ Citations

2

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Web of Science™ Citations

1

checked on Apr 10, 2026

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