Approximating Fixed Points of Nonself Contractive Type Mappings in Banach Spaces Endowed with a Graph-Reference-Cited by-同舟云学术

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

Published:2016-06-01 Issue:2 Volume:24 Page:27-43
ISSN:1844-0835
Container-title:Analele Universitatii "Ovidius" Constanta - Seria Matematica
language:en
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Author:

Balog Laszlo¹,Berinde Vasile¹²,Păcurar Mădălina³

Affiliation:

1. Department of Mathematics and Computer Science, North University Center at Baia Mare, Victorie1 76, 430122 Baia Mare , Romania

2. Department of Mathematics and Statistics, King Fahd University of Petroleum and Minerals, Dhahran , Saudi Arabia

3. Department of Statistics, Analysis, Forecast and Mathematics, Faculty of Economics and Bussiness Administration, Babeş-Bolyai University of Cluj-Napoca, Cluj-Napoca Romania

Abstract

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.

Publisher

Walter de Gruyter GmbH

Reference77 articles.

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