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Generalized Ulam-Hyers stability, well-posedness, and limit shadowing of fixed point problems for α-β-contraction mapping in metric spaces.

ABSTRACT: We study the generalized Ulam-Hyers stability, the well-posedness, and the limit shadowing of the fixed point problem for new type of generalized contraction mapping, the so-called α-β-contraction mapping. Our results in this paper are generalized and unify several results in the literature as the result of Geraghty (1973) and the Banach contraction principle.

SUBMITTER: Sintunavarat W

PROVIDER: S-EPMC3922007 | biostudies-other | 2014

REPOSITORIES: biostudies-other

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