Remarks on fixed point sets: Dedicated to Professor Ioan A. Rus on the occasion of his 80th anniversary

Kazimierz GOEBEL

Remarks on fixed point sets

Dedicated to Professor Ioan A. Rus on the occasion of his 80th anniversary

Authors

Kazimierz GOEBEL Maria Curie-Sklodowska University Institute of Mathematics 20-031 Lublin, Poland e-mail: goebel@hektor.umcs.lublin

Keywords:

Fixed point sets, convergence of iterates.

Abstract

This is a collection of examples illustrating various properties of fixed point sets under regularity assumptions on mappings.

Mathematics Subject Classification (2010): 47H10.

References

Bruck, R., Goebel, K., Bizzare fixed point sets, Fixed Point Theory and Applications (Proceedings of FPTA 1991, Halifax), World Scienti fic Publishing, Singapore/ New Jersey/ London/ Hong Kong, 1992, 67-70.

Goebel, K., Kirk, W.A., Topics in metric fi xed point theory, Cambridge University Press, Cambridge, 1990.

Goebel, K., Prus, S., Shapes and sizes of the fixed point sets, Nonlinear Analysis and Convex Analysis I, (Proceedings of NACA2011), Yokohama Publishers, Yokohama 2012, 75-97.

Goebel, K., Sedlak, E., Nonexpansive retracts in Hilbert space, Annales UMCS, 63(2009), 1-6.

Kirk, W.A., Sims, B., Handbook of Metric Fixed Point Theory, Kluwer Academic Publishers, Dordrecht/ Boston/ London, 2001.

Piasecki, L., Classi fication of Lipschitz Mappings, CRC Press, Boca Raton, FL, 2014.

STUDIA UBB MATHEMATICA, Volume 61 (LXI), No. 4, December 2016

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Published

2016-12-30

How to Cite

GOEBEL, K. (2016). Remarks on fixed point sets: Dedicated to Professor Ioan A. Rus on the occasion of his 80th anniversary. Studia Universitatis Babeș-Bolyai Mathematica, 61(4), 429–434. Retrieved from https://studia.reviste.ubbcluj.ro/index.php/subbmathematica/article/view/5630

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Issue

Volume 61, No. 4, December 2016

Section

Articles

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This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.