Fixed Points for Operators on Generalized Metric Spaces

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Abstract

The purpose of this paper is to present the fixed point theory for operators (single valued and multivalued) on generalized metric spaces in the sense of Luxemburg.

Keywords

Generalized metric in the sense of Luxemburg , Pompeiu-Hausdorff generalized functional , weakly Picard operator , fixed point , strict fixed point , generalized contraction , fibre generalized contraction , data dependence , pseudo-contractive multivalued operator
  • Adrian Petrus¸el Department of Applied Mathematics, Babe¸s-Bolyai University Cluj-Napoca, Kogalniceanu 1, 400084, Cluj-Napoca, Romania.
  • Ioan A. Rus Department of Applied Mathematics, Babe¸s-Bolyai University Cluj-Napoca, Kogalniceanu 1, 400084, Cluj-Napoca, Romania.
  • Marcel Adrian S¸erban Department of Applied Mathematics, Babe¸s-Bolyai University Cluj-Napoca, Kogalniceanu 1, 400084, Cluj-Napoca, Romania.
  • Pages: 45–66
  • Date Published: 2008-12-01
  • Vol. 10 No. 4 (2008): CUBO, A Mathematical Journal

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Published

2008-12-01

How to Cite

[1]
A. Petrus¸el, I. A. Rus, and M. A. S¸erban, “Fixed Points for Operators on Generalized Metric Spaces”, CUBO, vol. 10, no. 4, pp. 45–66, Dec. 2008.

Issue

Vol. 10 No. 4 (2008): CUBO, A Mathematical Journal

Section

Articles