Fixed points and strict fixed points for multivalued contractions of Reich type on metric spaces endowed with a graph-Reference-Cited by-同舟云学术

Fixed points and strict fixed points for multivalued contractions of Reich type on metric spaces endowed with a graph

Published:2013-07-29 Issue:1 Volume:2013 Page:
ISSN:1687-1812
Container-title:Fixed Point Theory and Applications
language:en
Short-container-title:Fixed Point Theory Appl

Author:

Chifu Cristian,Petruşel Gabriela,Bota Monica-Felicia

Abstract

Abstract The purpose of this paper is to present some strict fixed point theorems for multivalued operators satisfying a Reich-type condition on a metric space endowed with a graph. The well-posedness of the fixed point problem is also studied. MSC:47H10, 54H25.

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Geometry and Topology

Link

https://link.springer.com/content/pdf/10.1186/1687-1812-2013-203.pdf

Reference15 articles.

1. Jachymski J: The contraction principle for mappings on a metric space with a graph. Proc. Am. Math. Soc. 2008, 136: 1359–1373.

2. Gwóźdź-Lukawska G, Jachymski J: IFS on a metric space with a graph structure and extensions of the Kelisky-Rivlin theorem. J. Math. Anal. Appl. 2009, 356: 453–463. 10.1016/j.jmaa.2009.03.023

3. Nicolae A, O’Regan D, Petruşel A: Fixed point theorems for singlevalued and multivalued generalized contractions in metric spaces endowed with a graph. Georgian Math. J. 2011, 18: 307–327.

4. Beg I, Butt AR, Radojevic S: The contraction principle for set valued mappings on a metric space with a graph. Comput. Math. Appl. 2010, 60: 1214–1219. 10.1016/j.camwa.2010.06.003

5. Reich S: Fixed point of contractive functions. Boll. Unione Mat. Ital. 1972, 5: 26–42.

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