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ISSN : 1226-0657

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Vol.22 No.2

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STRONG CONVERGENCE IN NOOR-TYPE ITERATIVE SCHEMES IN CONVEX CONE METRIC SPACES

Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics / Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, (P)1226-0657; (E)2287-6081
2015, v.22 no.2, pp.185-197
https://doi.org/10.7468/jksmeb.2015.22.2.185
LEE, BYUNG-SOO
LEE,, B. (2015). STRONG CONVERGENCE IN NOOR-TYPE ITERATIVE SCHEMES IN CONVEX CONE METRIC SPACES. Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, 22(2), 185-197, https://doi.org/10.7468/jksmeb.2015.22.2.185

Abstract

The author considers a Noor-type iterative scheme to approximate com- mon fixed points of an infinite family of uniformly quasi-sup(f<sub>n</sub>)-Lipschitzian map- pings and an infinite family of g<sub>n</sub>-expansive mappings in convex cone metric spaces. His results generalize, improve and unify some corresponding results in convex met- ric spaces <xref>[1</xref>,<xref> 3</xref>, <xref>9</xref>, <xref>16</xref>, <xref>18</xref>, <xref>19]</xref> and convex cone metric spaces <xref>[8]</xref>.

keywords
convex structure, convex cone metric space, Noor-type iteration, f- expansive mapping, asymptotically f-expansive mapping, asymptotically quasi-f-expansive map- ping, f-uniformly quasi-sup(f)-Lipschitzian mapping.

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