Opuscula Math. 30, no. 3 (), 341-348
http://dx.doi.org/10.7494/OpMath.2010.30.3.341
Opuscula Mathematica

# Strong convergence theorem of a hybrid projection algorithm for a family of quasi-ϕ-asymptotically nonexpansive mappings

Abstract. The main purpose of this paper is by using a new hybrid projection iterative algorithm to prove some strong convergence theorems for a family of quasi-$$\phi$$-asymptotically nonexpansive mappings. The results presented in the paper improve and extend the corresponding results announced by some authors.
Keywords: quasi-$$\phi$$-asymptotically nonexpansive mapping, asymptotically regular mapping, hybrid projection iterative algorithm, strong convergence theorem.
Mathematics Subject Classification: 47H09, 47H10.