Strong convergence of an implicit iteration process for a finite family of strictly asymptotically pseudocontractive mappings

Abstract

Gurucharan Singh SalujaDepartment of Mathematics & Information Technology,Govt. Nagarjuna P.G. College of Science, Raipur (C.G.).email: saluja1963@rediffmail.comandHemant Kumar NashineDepartment of Mathematics,Disha Institute of Management and Technology,Satya Vihar, Vidhansabha-Chandrakhuri MargMandir Hasaud, Raipur-492101(Chhattisgarh), India.email: hnashine@rediffmail.com, nashine09@rediffmail.comABSTRACTIn this paper, we establish the strong convergence theorems for a finite family of k-strictly asymptotically pseudo-contractive mappings in the framework of Hilbert spaces.Our results improve and extend the corresponding results of Liu [5] and many others.RESUMENEn este trabajo, hemos establecido los teoremas de convergencia para una familia finitade asignaciones de k-estrictamente asintticamente pseudo-contraccin en el marco de losespacios de Hilbert. Nuestros resultados mejoran y amplan los resultados correspondi-entes de Liu [5] y muchos otros.