WASET
	%0 Journal Article
	%A M. Moosavi and  H. Khatibzadeh
	%D 2024
	%J International Journal of Physical and Mathematical Sciences
	%B World Academy of Science, Engineering and Technology
	%I Open Science Index 206, 2024
	%T Fixed Point of Lipschitz Quasi Nonexpansive Mappings
	%U https://publications.waset.org/pdf/10013520
	%V 206
	%X In this article, we study demiclosed and strongly quasi-nonexpansive of a sequence generated by the proximal point algorithm for a finite family of quasi-nonexpansive mappings in Hadamard spaces. Δ-convergence of iterations for the sequence of strongly quasi-nonexpansive mappings as well as the strong convergence of the Halpern type regularization of them to a common fixed point of sequence are also established. Our results generalize and improve several previously known results of the existing literature.
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