Coincidence Point Theorem on Hilbert Spaces Via Weak Ekeland Variational Principle and Application To Boundary Value Problem

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Abstract

In this paper, we give a new coincidence point theorem for two operators on Hilbert spaces for certain operators by using the weak Ekeland variational principle. Our paper extends and improves the results on the topic in the literature. We consider a boundary value problem as an application of our results.

Description

Asadi, Mehdi/0000-0003-2170-9919

Keywords

Fixed Point Theorem, Hilbert Spaces, Weak Ekeland Variational Principle, Potential Operators, Alpha-Positively Homogeneous Operators, α-Positively Homogeneous Operators

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Citation

Asadi, Mehdi; Karapınar, Erdal (2021). "Coincidence Point Theorem on Hilbert Spaces via Weak Ekeland Variational Principle and Application to Boundary Value Problem", Thai Journal of Mathematics, Vol. 19, No. 1, pp. 1-7.

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19

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1

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1

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7
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6

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5

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3

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