title: 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.
authors.affiliation: Department of Mathematics and Statistics, Faculty of Science and Technology, Thammasat University Rangsit Center, Pathum Thani 12121, Thailand.
authors.forename: Wutiphol
authors.identifier: 0000-0002-0932-1332
authors.initials: W
authors.lastname: Sintunavarat
mesh_terms: D055641:Mathematical Concepts