Approximating Fixed Points of Nonself Contractive Type Mappings in Banach Spaces Endowed with a Graph

Laszlo Balog; Vasile Berinde; Mădălina Păcurar

doi:10.1515/auom-2016-0026

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Approximating Fixed Points of Nonself Contractive Type Mappings in Banach Spaces Endowed with a Graph

Analele ştiinţifice ale Universităţii "Ovidius" Constanţa. Seria Matematică

Volume 24 (2016): Issue 2 (June 2016)

By: Laszlo Balog, Vasile Berinde and Mădălina Păcurar

Open Access

|Sep 2017

Abstract

Let K be a non-empty closed subset of a Banach space X endowed with a graph G. We obtain fixed point theorems for nonself G-contractions of Chatterjea type. Our new results complement and extend recent related results [Berinde, V., Păcurar, M., The contraction principle for nonself mappings on Banach spaces endowed with a graph, J. Nonlinear Convex Anal. 16 (2015), no. 9, 1925-1936; Balog, L., Berinde, V., Fixed point theorems for nonself Kannan type contractions in Banach spaces endowed with a graph, Carpathian J. Math. 32 (2016), no. 3 (in press)] and thus provide more general and flexible tools for studying nonlinear functional equations.

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Articles in this issue

DOI: https://doi.org/10.1515/auom-2016-0026 | Journal eISSN: 1844-0835 | Journal ISSN: 1224-1784

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Language: English

Page range: 27 - 43

Submitted on: Jan 15, 2016

Accepted on: Apr 23, 2016

Published on: Sep 21, 2017

Published by: Ovidius University of Constanta

In partnership with: Paradigm Publishing Services

Publication frequency: 3 issues per year

Keywords:

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© 2017 Laszlo Balog, Vasile Berinde, Mădălina Păcurar, published by Ovidius University of Constanta
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Volume 24 (2016): Issue 2 (June 2016)