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A study on fixed point theorems for a class of generalized nonexpansive mappings in Hadamard spaces

  • Aree Varatechakongka
  • Withun PhuengrattanaEmail author
Original Article
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Abstract

In this paper, we study the class of mappings with \(B_{\gamma ,\mu }\) condition due to Patir et al. (Fixed Point Theory Appl 2018:19, 2018) in the setting of Hadamard spaces. We prove a demiclosedness principle for such mapping in Hadamard spaces. Furthermore, we also prove the \(\Delta \)-convergence of the sequence generated by the S-iteration process for finding fixed points of the class of mappings with \(B_{\gamma ,\mu }\) condition in Hadamard spaces. Our results extend some known results which appeared in the literature.

Keywords

\(\Delta \)-Convergence Demiclosed principle Quasi-nonexpansive mapping Hadamard spaces 

Mathematics Subject Classification

47H09 47H10 
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Notes

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© Sociedad Matemática Mexicana 2019

Authors and Affiliations

  1. 1.Department of Mathematics, Faculty of Science and TechnologyNakhon Pathom Rajabhat UniversityNakhonThailand

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