A fixed point theorem for a system of Pachpatte operator equations

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Date

2021-04

Authors

Karapınar, Erdal
Öztürk, Ali
Rakocevic, Vladimir

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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.

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Keywords

Fixed Point, Metric Space, Banach Space, Level Closed

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.