APPROXIMATING FIXED POINTS OF GENERALIZED NONEXPANSIVE MAPPINGS

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RAZANI A.; SALAHIFARD H.

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ISSN: 2588-4824

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Journal: BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY Year:2011 | Volume:37 | Issue:1 Page(s): 235-246

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Title

APPROXIMATING FIXED POINTS OF GENERALIZED NONEXPANSIVE MAPPINGS

Author(s)

RAZANI A. | SALAHIFARD H. | Issue Writer Certificate

Keywords

CAT(0) SPACES

ISHIKAWA ITERATION SCHEME

GENERALIZED NONEXPANSIVE MAPPING

Abstract

Let C be a nonempty closed convex subset of a complete CAT (0) space and T: C®C be a GENERALIZED NONEXPANSIVE MAPPING with F (T)={x Î C: T (x)=x} ¹Æ. Suppose {xn} is generated iteratively by x1 Î C,xn+1=tnT[snTxn Å (1-sn) xn] Å (1-tn) xn,for all n ³ 1, where {tn} and {sn} are real sequences in [0, 1] such that one of the following two conditions is satisfied: (i)tn Î [a, b] and sn Î [0, 1], for some a, b with 0<a £ b<1, (ii)tn Î [a, 1] and sn Î [a, b], for some a, b with 0<a £ b<1.Then, the sequence{xn}, D-converges to a fixed point of T. Our results extend the ones in Laokul and Panyanak.

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APA: Copy

RAZANI, A., & SALAHIFARD, H.. (2011). APPROXIMATING FIXED POINTS OF GENERALIZED NONEXPANSIVE MAPPINGS. BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY, 37(1), 235-246. SID. https://sid.ir/paper/592865/en

Vancouver: Copy

RAZANI A., SALAHIFARD H.. APPROXIMATING FIXED POINTS OF GENERALIZED NONEXPANSIVE MAPPINGS. BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY[Internet]. 2011;37(1):235-246. Available from: https://sid.ir/paper/592865/en

IEEE: Copy

A. RAZANI, and H. SALAHIFARD, “APPROXIMATING FIXED POINTS OF GENERALIZED NONEXPANSIVE MAPPINGS,” BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY, vol. 37, no. 1, pp. 235–246, 2011, [Online]. Available: https://sid.ir/paper/592865/en

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