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arXiv · 1611.02979

On the Iterations of a Sequence of Strongly Quasi-nonexpansive Mappings with Applications

Hadi Khatibzadeh·Vahid Mohebbi
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Abstract

In this paper, we study $Δ$- convergence of iterations for a sequence of strongly quasi-nonexpansive mappings as well as the strong convergence of the Halpern type regularization of them in Hadamard spaces. Then, we give some their applications in iterative methods, convex and pseudo-convex minimization(proximal point algorithm), fixed point theory and equilibrium problems. The results extend several new results in the literature and some of them seem new even in Hilbert spaces.

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Hadi Khatibzadeh, Vahid Mohebbi. 2016-11-09. On the Iterations of a Sequence of Strongly Quasi-nonexpansive Mappings with Applications. https://arxiv.org/abs/1611.02979

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