Fixed points and integral inclusions

Authors

  • Adrian Petruşel “Babes-Bolyai” University Cluj-Napoca, Romania

Keywords:

fixed point, \(\varphi\)-contraction, multivalued operator, integral inclusion

Abstract

The aim of this paper is to present, as applications of some fixed point theorems, existence results for integral equations and inclusions.

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References

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Dugundji J. and Granas, A., Fixed point theory, Springer-Verlag, Berlin, 2003,https://doi.org/10.1007/978-0-387-21593-8

Hu, S. and Papageorgiou, N.S., Handbook of multivalued analysis, Vol. I and II, Kluwer Acad. Publ., Dordrecht, 1997 and 1999.

Petruşel, A., Operatorial inclusions, House of the Book of Science, 2002.

Rus, I.A., Generalized contractions, Cluj University Press, Cluj-Napoca, 2001.

Rus, I.A., Picard operators and applications, Scientiae Mathematicae Japonicae, 58, pp. 191-219, 2003.

Rus, I.A., Petruşel, A. and Sîntămărian, A., Data dependence of the fixed point set of some multivalued weakly Picard operators, Nonlinear Anal., 52, pp. 1947-1959, 2003, https://doi.org/10.1016/s0362-546x(02)00288-2

Rybinski, L., On Carathédory type selections, Fund. Math., 125, pp. 187-193, 1985, https://doi.org/10.4064/fm-125-3-187-193

Wegrzyk, R., Fixed point theorems for multifunctions and their applications to functional equations, Disscus. Math., 201, 1982.

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Published

2006-08-01

How to Cite

Petruşel, A. (2006). Fixed points and integral inclusions. Rev. Anal. Numér. Théor. Approx., 35(2), 183–188. Retrieved from https://ictp.acad.ro/jnaat/journal/article/view/2006-vol35-no2-art6

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