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Y. J. Piao, “Unique Common Fixed Point Theorems for a Family of Non-Self Maps in Metrically Convex Spaces,” Applied Mathematics, Vol. 22, No. 4, 2009, pp. 852-857.

has been cited by the following article:

• TITLE: Common Fixed Points for a Countable Family of Set-Valued Mappings with Quasi-Contractive Conditions on Metrically Convex Spaces

  AUTHORS: Yuexi Jin, Ailian Jin, Yongjie Piao

  KEYWORDS: Common Fixed Point; Quasi-Contractive; Metrically Convex; Complete

  JOURNAL NAME: Advances in Pure Mathematics, Vol.4 No.1, January 8, 2014

  ABSTRACT: In this paper, we consider a countable family of set-valued mappings satisfying some quasi-contractive conditions. We also construct a sequence by the quasi-contractive conditions of mappings and the boundary condition of a closed subset of a metrically convex space, and then prove that the unique limit of the sequence is the unique common fixed point of the mappings. Finally, we give more generalized common fixed point theorems for a countable family of single-valued mappings. The main results generalize and improve many common fixed point theorems for a finite or countable family of single valued or set-valued mappings with quasi-contractive conditions.