Abbas, MujahidAli, BasitRomaguera, Salvador2014-09-092014-09-092014-02-26Abbas, M, Ali, B & Romaguera, S 2014, 'Generalized contraction and invariant approximation results on nonconvex subsets of normed spaces', Abstract and Applied Analysis, vol. 2014, art. 391952, pp. 1-5.as1085-3375 (print)1687-0409 (online)10.1155/2014/391952http://hdl.handle.net/2263/41949Wardowski (2012) introduced a new type of contractive mapping and proved a fixed point result in complete metric spaces as a generalization of Banach contraction principle. In this paper, we introduce a notion of generalized F-contraction mappings which is used to prove a fixed point result for generalized nonexpansive mappings on star-shaped subsets of normed linear spaces. Some theorems on invariant approximations in normed linear spaces are also deduced. Our results extend, unify, and generalize comparable results in the literature.en© 2014 Mujahid Abbas et al. This is an open access article distributed under the Creative Commons Attribution License.Generalized F-contraction mappingsFixed point resultGeneralized nonexpansive mappingsStar-shaped subsetsNormed linear spacesArticle