Some results for uniformly L -Lipschitzian mappings in Banach spaces

AbstractThe purpose of this work is to prove a strong convergence theorem for a pair of uniformly L-Lipschitzian mappings in Banach spaces. The results presented in the work improve and extend some recent results of Chang [S.S. Chang, Some results for asymptotically pseudo-contractive mappings and asymptotically nonexpansive mappings, Proc. Amer. Math. Soc. 129 (2001) 845–853], Cho et al [Y.J. Cho, J.I. Kang, H.Y. Zhou, Approximating common fixed points of asymptotically nonexpansive mappings, Bull. Korean Math. Soc. 42 (2005) 661–670], Ofoedu [E.U. Ofoedu, Strong convergence theorem for uniformly L-Lipschitzian asymptotically pseudocontractive mapping in a real Banach space, J. Math. Anal. Appl. 321 (2006) 722–728], Schu [J. Schu, Iterative construction of fixed point of asymptotically nonexpansive mappings, J. Math. Anal. Appl. 158 (1991) 407–413] and Zeng [L.C. Zeng, On the iterative approximation for asymptotically pseudo-contractive mappings in uniformly smooth Banach spaces, Chinese Math. Ann. 26 (2005) 283–290 (in Chinese); L.C. Zeng, On the approximation of fixed points for asymptotically nonexpansive mappings in Banach spaces, Acta Math. Sci. 23 (2003) 31–37 (in Chinese)]

Some results for uniformly L -Lipschitzian mappings in Banach spaces

AbstractThe purpose of this work is to prove a strong convergence theorem for a pair of uniformly L-Lipschitzian mappings in Banach spaces. The results presented in the work improve and extend some recent results of Chang [S.S. Chang, Some results for asymptotically pseudo-contractive mappings and asymptotically nonexpansive mappings, Proc. Amer. Math. Soc. 129 (2001) 845–853], Cho et al [Y.J. Cho, J.I. Kang, H.Y. Zhou, Approximating common fixed points of asymptotically nonexpansive mappings, Bull. Korean Math. Soc. 42 (2005) 661–670], Ofoedu [E.U. Ofoedu, Strong convergence theorem for uniformly L-Lipschitzian asymptotically pseudocontractive mapping in a real Banach space, J. Math. Anal. Appl. 321 (2006) 722–728], Schu [J. Schu, Iterative construction of fixed point of asymptotically nonexpansive mappings, J. Math. Anal. Appl. 158 (1991) 407–413] and Zeng [L.C. Zeng, On the iterative approximation for asymptotically pseudo-contractive mappings in uniformly smooth Banach spaces, Chinese Math. Ann. 26 (2005) 283–290 (in Chinese); L.C. Zeng, On the approximation of fixed points for asymptotically nonexpansive mappings in Banach spaces, Acta Math. Sci. 23 (2003) 31–37 (in Chinese)]

On Zudilin's q-question about Schmidt's problem

We propose an elemantary approach to Zudilin's q-question about Schmidt's problem [Electron. J. Combin. 11 (2004), #R22], which has been solved in a previous paper [Acta Arith. 127 (2007), 17--31]. The new approach is based on a q-analogue of our recent result in [J. Number Theory 132 (2012), 1731--1740] derived from q-Pfaff-Saalschutz identity.Comment: 5 page

Rate of Convergence of a New Type Kantorovich Variant of Bleimann-Butzer-Hahn Operators

National Natural Science Foundation of China; Fujian Provincial Science Foundation of ChinaA new type Kantorovich variant of Bleimann-Butzer-Hahn operator J(n) is introduced. Furthermore, the approximation properties of the operators J(n) are studied. An estimate on the rate of convergence of the operators J(n) for functions of bounded variation is obtained. Copyright (C) 2009 L. Chen and X.-M. Zeng

Zeng Chang v. Atty Gen USA

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Lost In Translation? A Report Into Action Research On The Effects Of Interpretation On Learning And Teaching

This paper follows from Zeng and Burrows (2013), in which the issue of the effects of interpretation on learning and teaching was introduced. Action research was completed in China in 2013 and this paper reports some of the analysis and results of that research. A number of issues were identified and these are of interest to all practitioners, as they are pertinent to both general and specific teaching practice. The learning process is, in the main, a dialogue between teachers and learners. However, there are many occasions for triangulation, for example, language interpretation, signing and use of amanuenses. This small-scale action research project has highlighted some of the issues inherent in teaching and learning through interpretation, but the points raised by the research can inform practice in all situations

Xueya Zeng v. Atty Gen USA

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