Viscosity approximations methods for \((\psi,\varphi)\)-weakly contractive mappings. (English) Zbl 1370.54029
Summary: In this paper, we study viscosity approximations with \((\psi,\varphi)\)-weakly contractive mappings. We show that Moudafi’s viscosity approximations follow from Browder and Halpern type convergence theorems. Our results generalize a number of convergence theorems including a strong convergence theorem of [Y. Song and X. Liu, Fixed Point Theory Appl. 2009, Article ID 824374, 13 p. (2009; Zbl 1167.65029)].
Keywords:
\((\psi,\varphi)\)-weakly contractive mappings; Browder type convergence; Halpern type convergence; Moudafi’s viscosity approximationsCitations:
Zbl 1167.65029References:
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