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Remarks on Fixed Point Theorems of Non-Lipschitzian Self-mappings

Tae-Hwa Kim|Byung-Ik Jeon
경북대학교 자연과학대학 수학과|2005.09|Kyungpook Mathematical Journal|제45권 제3호|pp. 433-443

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참고문헌

주제분류수학

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Abstract

In 1994, Lim-Xu asked whether the Maluta’s constant D(X )< 1 implies fixed point property for asymptotically nonexpansive mappings and gave a partial solution for this question under an additional assumption for T, i.e., weakly asymptotic regularity of T. In this paper, we shall prove that the result due to Lim-Xu is also satisfied for more general non-Lipschitzian mappings in refrexive Banach spaces with weak uniform normal structure. Some applications of this result are also added.

참고문헌 (18)

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관련 논문AI추천

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