Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
841864 | Nonlinear Analysis: Theory, Methods & Applications | 2010 | 7 Pages |
Abstract
Following [W.A. Kirk, P.S. Srinivasan, P. Veeramany, Fixed points for mappings satisfying cyclical contractive conditions, Fixed Point Theory 4 (1) (2003) 79–89], we present a fixed point theorem for cyclic φφ-contractions and following [I.A. Rus, The theory of a metrical fixed point theorem: Theoretical and applicative relevances, Fixed Point Theory 9 (2) (2008) 541–559] we construct a theory of this fixed point theorem. This theory is in connection with data dependence, well-posedness of the fixed point problem, limit shadowing property and sequences of operators and fixed points. A Maia type fixed point theorem for cyclic φφ-contractions is also given.
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Authors
Mădălina Păcurar, Ioan A. Rus,