Asymptotic line L-Lipschitz pseudo fixed points of

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Asymptotic line L-Lipschitz pseudo non- self- mappings Iterative approximation of fixed points

4 (1) :7 -10. [11 ] to the long joint . A finite number of generalized asymptotically quasi- nonexpansive type mappings Approximation of common fixed points [J]. Chongqing Normal University ( Natural Science) , 2006,23 (1 ) :6 -9. [12 ] Tang Yuhua . Ordered Banach Space Operators Binary Iterative approximation of fixed points [J]. China West Normal University ( Natural Science) , 2006,27 (3 ) :293 -295 . ItrativeApproximationofFixedPointsofUniformlyL-LipschitzianAsymptoticallyPseudocontractiveNonself-mappingsZHANGFang. XIANGChang an e (CollegeofMathematicsandComputerScience, ChongqingNormalUniversity, Chongqing400047, China) Abstract: In2003, Chidumefirstintroducedthedefinitionofasymptoticallynonexpansivenonself-mappingsanduniformly Trinity Lipschitziannonself-mappings. Furthermore, heprovedthattheiterativesequenceheintroducedconvergedstronglytofixedpointofasymptoticallynonexpansivenonseff-mappings. Thedefinitionofasymptoticallypseudoeontractivenonsetf-mappingisintroducedandthemodifiedIshikawaiterativesequence {} foruniformlyL-Lipschitzianasymptoticallypseudocontractivenonself-mappingTispresentedinthispaper. LetKbearetractofarealBanachspaceE. PbeanonexpansiveretractionfromEtoK. Supposethereexistastrictlyincreasingfunction: [0, ∞) - [0, ∞), West (0) = O, 3j (x + l-) ∈ J (x +1 A ) suchthat (T (PT ),[link widoczny dla zalogowanych]。。。+ l-( dead r) ~ √ (+1 A )) ≤ IJ + J-lJ a (1l + J-IJ), Vn ≥ 1, isafixedpointofT. Thispaperprovesthattheiterativesequence {} convergesstronglytofixedpointsundersomerestrictiveconditionsonparameters. Theobjectiveofthisarticleistoextendtheasymptoticallypseudocontractivemappingstoasymptoticallypseudocontractivenonseff-mappings. Therefore, theresultspresentedinthispaperextendedthepreviouswork. Keywords: uniformlyL-Lipschiziannonseff-mappings; asymptoticallypseudo-contractivenonself-mappings; iterativesequence; fixedpoints ( Editor Ying Huang )