6533b861fe1ef96bd12c4de1

RESEARCH PRODUCT

An Integral Version of Ćirić’s Fixed Point Theorem

Calogero VetroBessem Samet

subject

AlgebraPure mathematicsSchauder fixed point theoremPicard–Lindelöf theoremSettore MAT/05 - Analisi MatematicaGeneral MathematicsFixed-point theoremType (model theory)Fixed pointBrouwer fixed-point theoremKakutani fixed-point theoremComplete metric space $\lambda$-generalized contraction fixed point contractive condition of integral type.Mathematics

description

We establish a new fixed point theorem for mappings satisfying a general contractive condition of integral type. The presented theorem generalizes the well known Ciric's fixed point theorem [Lj. B. Ciric, Generalized contractions and fixed point theorems, Publ. Inst. Math. 12 (26) (1971) 19-26]. Some examples and applications are given.

yearjournalcountryeditionlanguage
2011-02-19Mediterranean Journal of Mathematics
https://doi.org/10.1007/s00009-011-0120-1