Coupled fixed points and α-dense curves

Name: Coupled fixed points and α-dense curves
Creator: G. GARCIA

descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 2016Publisher:Technical University of Cluj Napoca, North University Center of Baia MareJournal:Carpathian Journal of Mathematics, volume 32, pages 323-330 (issn: 1584-2851, eissn: 1843-4401,

Authors: G. GARCIA;

doi: 10.37193/cjm.2016.03.08

Coupled fixed points and α-dense curves

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Abstract

We present a new iterative method, based on the so called α-dense curves, to approximate coupled fixed points of nonexpansive mappings. Compactness condition on the mapping or its domain of definition is necessary. As application, we construct a sequence which converges to a solution of certain system of integral equations of Volterra type.

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