Weakly Picard pairs of multifunctions

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DOI:

https://doi.org/10.4067/S0719-06462010000100006

Abstract

The purpose of this paper is to present a general answer for the following problem: Let (X, d) be a metric space and T1, T2 : X → P(X) two multifunctions. Determine the metric conditions which imply that (T1, T2) is a weakly Picard pair of multifunctions and T1, T2 are weakly Picard multifunctions , for multifunctions satisfying an implicit contractive condition, generalizing some results from [6] and [7].

Keywords

Multifunction , fixed point , implicit relation , weakly Picard multifunction , weakly Picard pair of multifunctions
  • Valeriu Popa Department of Mathematics, University of Bacău, Str. Spiru Haret nr. 8, 600114 Bacău, Romania.
  • Pages: 59–66
  • Date Published: 2010-03-01
  • Vol. 12 No. 1 (2010): CUBO, A Mathematical Journal

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Published

2010-03-01

How to Cite

[1]
V. Popa, “Weakly Picard pairs of multifunctions”, CUBO, vol. 12, no. 1, pp. 59–66, Mar. 2010.

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