Fixed and periodic points in the probabilistic normed and metric spaces

M.B. Ghaemi and Abdolrahman Razani

Chaos, Solitons & Fractals, 2006, vol. 28, issue 5, 1181-1187

Abstract: In this paper, a fixed point theorem is proved, i.e., if A is a C-contraction in the Menger space (S,F) and E⊂S be such that A(E)¯ is compact, then A has a fixed point. In addition, under the same condition, the existence of a periodic point of A is proved. Finally, a fixed point theorem in probabilistic normed spaces is proved.

Date: 2006
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Citations: View citations in EconPapers (5)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:28:y:2006:i:5:p:1181-1187

DOI: 10.1016/j.chaos.2005.08.192

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