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Applicable Analysis
An International Journal
Volume 9, 1979 - Issue 2
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Original Articles

Fixed point theorem for non-expansive mappings on banach spaces with uniformly normal structure

A. A. GillespieView further author information
,
B. B. WilliamsView further author information
&
V. LakshmikanthamView further author information
Pages 121-124 | Published online: 10 May 2007

Citations (21)

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W. A. Kirk. (1998) Hölder continuity and minimal displacement. Numerical Functional Analysis and Optimization 19:1-2, pages 71-79.
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Articles from other publishers (20)

Mohamed A. Khamsi & Osvaldo D. Méndez. (2022) Remark on a Fixed-Point Theorem in the Lebesgue Spaces of Variable Integrability Lp(·). Mathematics 11:1, pages 157.
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Muhamad Najibufahmi & Atok Zulijanto. (2021) Fixed point theorems for asymptotically regular semigroups equipped with generalized Lipschitzian conditions in metric spaces. Journal of Fixed Point Theory and Applications 23:2.
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Bowen Chen & Wanzhong Gong. (2021) Uniformly normal structure and uniform non-squareness of Orlicz–Lorentz function spaces endowed with the Orlicz norm. Annals of Functional Analysis 12:2.
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WOJCIECH M. KOZLOWSKI. (2019) ON MODULATED TOPOLOGICAL VECTOR SPACES AND APPLICATIONS. Bulletin of the Australian Mathematical Society 101:2, pages 325-332.
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Karim Chaira & Samih Lazaiz. (2018) Best Proximity Point Theorems for Cyclic Relatively -Nonexpansive Mappings in Modular Spaces . Abstract and Applied Analysis 2018, pages 1-8.
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Karim Chaira & Samih Lazaiz. (2018) Best proximity pair and fixed point results for noncyclic mappings in modular spaces. Arab Journal of Mathematical Sciences 24:2, pages 147-165.
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S. Rajesh. (2017) On existence of fixed points for pointwise eventually nonexpansive mappings. Journal of Fixed Point Theory and Applications 19:3, pages 2177-2184.
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M. A. Khamsi. 2014. Topics in Fixed Point Theory. Topics in Fixed Point Theory 1 32 .
Afrah AN Abdou & Mohamed A Khamsi. (2013) On the fixed points of nonexpansive mappings in modular metric spaces. Fixed Point Theory and Applications 2013:1.
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Enrique Llorens Fuster & Elena Moreno Gálvez. (2011) The Fixed Point Theory for Some Generalized Nonexpansive Mappings. Abstract and Applied Analysis 2011, pages 1-15.
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Z Ren & M Rao. 2002. Applications Of Orlicz Spaces. Applications Of Orlicz Spaces.
Mohamed A. Khamsi & William A. Kirk. 2001. An Introduction to Metric Spaces and Fixed Point Theory. An Introduction to Metric Spaces and Fixed Point Theory 289 299 .
N. M. Gulevich. (1996) Fixed points of nonexpansive mappings. Journal of Mathematical Sciences 79:1, pages 755-815.
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Tadeusz Kuczumow, Simeon Reich & Malgorzata Schmidt. (1993) A fixed point property of 𝑙₁-product spaces. Proceedings of the American Mathematical Society 119:2, pages 457-463.
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Mark A. Smith & Barry Turett. (2009) Some examples concerning normal and uniform normal structure in Banach spaces. Journal of the Australian Mathematical Society. Series A. Pure Mathematics and Statistics 48:2, pages 223-234.
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M. A. Khamsi. (1989) On metric spaces with uniform normal structure. Proceedings of the American Mathematical Society 106:3, pages 723-726.
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J.R. Giles, Brailey Sims & S. Swaminathan. (2009) A geometrically aberrant Banach space with normal structure. Bulletin of the Australian Mathematical Society 31:1, pages 75-81.
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D van Dulst. (1984) Some more Banach spaces with normal structure. Journal of Mathematical Analysis and Applications 104:1, pages 285-292.
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Jong Sook Bae. (1984) Reflexivity of a Banach space with a uniformly normal structure. Proceedings of the American Mathematical Society 90:2, pages 269-270.
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W. A. Kirk. (1981) An abstract fixed point theorem for nonexpansive mappings. Proceedings of the American Mathematical Society 82:4, pages 640-642.
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