EDELSTEIN-SUZUKI-TYPE RESULTS FOR SELF-MAPPINGS IN VARIOUS ABSTRACT SPACES WITH APPLICATION TO FUNCTIONAL EQUATIONS

doi:10.1016/S0252-9602(15)30081-3

Abstract

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 Eldeisten-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.

Key words: G-metric space, G-cone metric space, quasi-metric space, fixed point, Edelstein's theorem, Suzuki's theorem.

CLC Number:

47H10

Stojan RADENOVIC,Peyman SALIMI, Calogero VETRO, Tatjana DOSENOVIC. EDELSTEIN-SUZUKI-TYPE RESULTS FOR SELF-MAPPINGS IN VARIOUS ABSTRACT SPACES WITH APPLICATION TO FUNCTIONAL EQUATIONS[J].Acta mathematica scientia,Series B, 2016, 36(1): 94-110.

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