Single-valued and multi-valued Meir-Keeler type operators

Authors

  • Adrian Petruşel Babeş-Bolyai University, Cluj-Napoca, Romania

DOI:

https://doi.org/10.33993/jnaat301-684
Abstract views: 240

Abstract

The purpose of this paper is to present several xed point results for some single-valued and multi-valued Meir-Keeler type operators.

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References

G. Beer, Topologies on Closed and Closed Convex Sets, Kluwer Acad. Publ., Dordrecht, 1994. DOI: https://doi.org/10.1007/978-94-015-8149-3

J. Jachymski, Continuous dependence of attractors of iterated function systems, J. Math. Anal. Appl., 198 (1996), 221-226, https://doi.org/10.1006/jmaa.1996.0077 DOI: https://doi.org/10.1006/jmaa.1996.0077

J. Jachymski, Equivalent conditions and the Meir-Keeler type theorems, J. Math. Anal. Appl., 194 (1995), 293-303, https://doi.org/10.1006/jmaa.1995.1299 DOI: https://doi.org/10.1006/jmaa.1995.1299

J. Jachymski, Equivalent of some contractivity properties over metrical structures, Proc. A.M.S., 125 (1997), 2327-2335, https://doi.org/10.1090/s0002-9939-97-03853-7 DOI: https://doi.org/10.1090/S0002-9939-97-03853-7

A. Meir and E. Keeler, A theorem on contraction mappings, J. Math. Anal. Appl., 28 (1969), 326-329, https://doi.org/10.1016/0022-247x(69)90031-6 DOI: https://doi.org/10.1016/0022-247X(69)90031-6

S. B. Nadler, jr., Multivalued contraction mappings, Pacific J. Math., 30 (1969), 475-488, https://doi.org/10.2140/pjm.1969.30.475 DOI: https://doi.org/10.2140/pjm.1969.30.475

I. A. Rus, Stability of attractor of a ϕ-contractions system, Babeş-Bolyai University, Seminar on Fixed Point Theory, 3 (1998), 31-34.

H. K. Xu, ε-chanability and fixed points of set-valued mappings in metric spaces, Math. Japonica, 39 (1994), 353-356.

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Published

2001-02-01

How to Cite

Petruşel, A. (2001). Single-valued and multi-valued Meir-Keeler type operators. Rev. Anal. Numér. Théor. Approx., 30(1), 75–80. https://doi.org/10.33993/jnaat301-684

Issue

Vol. 30 No. 1 (2001)

Section

Articles

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Copyright (c) 2015 Journal of Numerical Analysis and Approximation Theory

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