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Title:Iterative Approximations for Local Fixed Point Theorems and Applications Authors:Radu Trusca Conference:SYNASC2020 Tags:banach space, berinde contraction, Berinde operator, berinde type contraction, chatterjea contraction, chatterjea operator, complete metric space, fixed point, fixed point theorem, fixed point theory, generalized contraction, local fixed point theorem, Local fixed point theorems, metric space, open ball, open mapping, Open mapping results, open mapping theorem, open operator, open set and Reich operator Abstract: The main aim of this paper is to give some local fixed point theorems for three classes of generalized contractions with applications to open mapping theorems. We consider Chatterjea and Berinde type contractions of the well-known alpha-contraction, and we obtain results which generalize the classical case of Banach contractions.  |
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