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研究生:林盈宏
研究生(外文):Lin Ying-hung
論文名稱:在完備距離空間中一些固定點定理的推廣
論文名稱(外文):SOME GENERALIZED FIXED POINT THEOREMS IN COMPLETE METRIC SPACES
指導教授:左太政左太政引用關係
指導教授(外文):Tso Tai-cheng
學位類別:碩士
校院名稱:國立高雄師範大學
系所名稱:數學系
學門:數學及統計學門
學類:數學學類
論文種類:學術論文
論文出版年:2006
畢業學年度:94
語文別:英文
論文頁數:19
外文關鍵詞:Hausdorff metricgeneralized Chatterjea’s fixed point theoremgeneralized Kannan’s fixed point theorem
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In this paper , we first establish some new fixed point theorems for multivalued maps. Using these theorems, we can prove generalized Kannan's type and generalized Chatterjea's type fixed point theorems for multivalued maps. The primitive Kannan's type and Chatterjea's type fixed point theorems for single-valued maps are special cases of our theorems.
In this paper , we first establish some new fixed point theorems for multivalued maps. Using these theorems, we can prove generalized Kannan's type and generalized Chatterjea's type fixed point theorems for multivalued maps. The primitive Kannan's type and Chatterjea's type fixed point theorems for single-valued maps are special cases of our theorems.
1. Introduction 1

2. Preliminaries 4

3. Main results 7

References 17
References
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[14] Kannan, R., Some results on fixed points. III Fund. Math. 70 (1971), 169-177.
[15] Kannan, R., Construction of fixed points of a class of nonlinear mappings J. Math. Anal. Appl. 41 (1973), 430-438.
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[17] Kirk, W. A. and Sims, B., Handbook of Metric Fixed Point Theory, Kluwer Academic Publishers, 2001.
[18] Kirk, W. A. and Goebel, Kazimierz., Topics in metric fixed point theory, Cambridge University, 1990.
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[20] Rhoades, B.E., Comments on two fixed point iteration methods, J. Math. Anal. Appl. 56 (2) (1976), 741-750.
[21] Rhoades, B.E., A comparison of various definitions of contractive mappings, Trans. Amer. Math. Soc., 226 (1977), 257-290.
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[23] Ulrich, Hanno., Fixed Point Theory of Parametrized Equivariant Maps, Springer-Verlag Berlin Heidelberg, 1988.
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