The fixed point theory provides a sound basis for studying many problems in pure and applied sciences. In this paper, we use the notions of sequential compactness and completeness to prove Edelstein-Suzuki-type fixed point results for self-mappings in various abstract spaces. We apply our results to get a bounded solution of a functional equation arising in dynamic programming.
Radenovic, S., Salimi, P., Vetro, C., Dosenovic, T. (2016). Edelstein-Suzuki-type resuls for self-mappings in various abstract spaces with application to functional equations. ACTA MATHEMATICA SCIENTIA, 36(1), 94-110 [10.1016/S0252-9602(15)30081-3].
Edelstein-Suzuki-type resuls for self-mappings in various abstract spaces with application to functional equations
VETRO, Calogero;
2016-01-01
Abstract
The fixed point theory provides a sound basis for studying many problems in pure and applied sciences. In this paper, we use the notions of sequential compactness and completeness to prove Edelstein-Suzuki-type fixed point results for self-mappings in various abstract spaces. We apply our results to get a bounded solution of a functional equation arising in dynamic programming.
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