6533b870fe1ef96bd12d0701

RESEARCH PRODUCT

Edelstein-Suzuki-type resuls for self-mappings in various abstract spaces with application to functional equations

Peyman SalimiStojan RadenovićTatjana DošenovićCalogero Vetro

subject

G-metric spaceG-cone metric spaceBasis (linear algebra)General Mathematics010102 general mathematicsquasi-metric spaceGeneral Physics and AstronomyFixed-point theoremFixed pointType (model theory)Edelstein’s theorem01 natural sciences010101 applied mathematicsAlgebraCompact spacefixed pointSettore MAT/05 - Analisi MatematicaBounded functionCompleteness (order theory)Functional equation0101 mathematicsSuzuki’s theorem.Mathematics

description

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.

yearjournalcountryeditionlanguage
2016-01-01
10.1016/s0252-9602(15)30081-3http://hdl.handle.net/10447/172535