帳號:guest(3.142.136.226)          離開系統
字體大小: 字級放大   字級縮小   預設字形  

詳目顯示

以作者查詢圖書館館藏以作者查詢臺灣博碩士論文系統以作者查詢全國書目
作者(中文):吳姿慧
作者(外文):Tzi-Hui Wu
論文名稱(中文):在錐度量空間中的多值收縮之固定點定理
論文名稱(外文):Fixed point theorems of the set-valued contractions in cone metric spaces
指導教授(中文):陳啟銘
陳正忠
指導教授(外文):Chi-Ming Chen
Jeng-Chung Chen
學位類別:碩士
校院名稱:國立新竹教育大學
系所名稱:應用數學系碩士班
學號:10024231
出版年(民國):101
畢業學年度:101
語文別:英文
論文頁數:12
中文關鍵詞:固定點錐度量空間Meir-Keeler 錐型映射多值收縮
外文關鍵詞:Fixed pointCone metric spaceMeir-Keeler cone-type mappingSet-valued contraction
相關次數:
  • 推薦推薦:0
  • 點閱點閱:81
  • 評分評分:*****
  • 下載下載:8
  • 收藏收藏:0
本篇論文主要是探討在錐度量空間上有關於stronger Meir-Keeler錐型映射的多值收縮之固定點。我們的結果推廣了最近的研究結果Kadelburg和Radenovi'c[26,27,33]和Wardowski[43]。
The purpose of this paper is to present the fixed points of the set-valued contractions concerning with the stronger Meir-Keeler cone-type mappings in cone metric spcaes. Our results generalize the recent results of Kadelburg and Radenovi´c [26, 27, 33] and Wardowski [43].
[1] M. Abbas, G. Jungck, Common fixed point results for
noncommuting mappings without continuity in cone
uniform spaces, J. Math. Anal. Appl., 341(2008) No.1,
416-420.
[2] M. Alimohammady, J. Balooee, S. Radojevi´c, V.
Rakoˇcevi´c, M. Roohi,Conditions of regularity in
cone metric spaces, Appl. Math. Comput.,
2011doi:10.1016/j.amc.2011.01.010 1.3.1.9.
[3] A. Amini-Harandi, M. Fakhar, Fixed point theory in cone
metric spaces obtained via the scalarization
method,Comput. Math. Appl., 59 11 (2010),3529V3534.
[4] M. Arshad, A. Azam, P. Vetro, Some common fixed point
results in cone uniform spaces, Fixed Point Theory and
Appl., 2009 Vol. 2009, Article ID 493965, 11 Pages,
doi:10.1155/2009/493965.
[5] M. Asadi, H. Soleimani, S. M. Vaezpour, An Order on
Subsets of Cone Metric Spaces and Fixed Points of Set-
Valued Contractions, Fixed Point Theory and
Applications, 2009 Volume 2009, Article ID 723203,
8 pages,doi: 10.1155/2009/723203.
[6] A. Azam, M. Arshad, Common fixed points of generalized
contractive maps in cone uniform spaces, Bull. Iranian
Math. Soc., 35 (2) (2009) 255-264.
[7] S. Banach, Sur les operations dans les ensembles
abstraits et leur application aux equations
integerales, Fund. Math., 3(1922), 133V181.
[8] C.D. Bari, P. Vetro, '-pairs and common fixed points in
cone metric spaces,Rend. Circ. Mat. Palermo,57(2002)
No.2, 279-285.
[9] C. Di Bari, P. Vetro, Weakly '-pairs and common fixed
points in cone metric spaces, Rend. Circ. Mat.
Palermo,58 (2009) 125-132.
[10] C. Di Bari, T. Suzuki, C. Vetro, Best proximity for
cyclic Meir-Keeler contractions, Nonlinear Anal.,69
(2008) 3790-3794.
[11] Cristina Di Bari, Reza Saadati, Pasquale Vetro, Common
fixed points in cone metric spaces for CJM-pairs,
Mathematical and Computer Modelling,2011
doi: 101016/j.mcm.2011.05.043.
[12] D.W. Boyd, J.S.W. Wong, On nonlinear contractions,
Proc. Am. Math. Soc., 20(1969), 458V464.
[13] S.K. Chatterjea, Fixed-point theorems, C. R. Acad.
Bulgare Sci., 25(1972),727-730.
[14] S.C. Chu, J.B. Diaz, Remarks on a generalization of
Banach’s principle of contraction mappings, J. Math.
Anal. Appl., 2(1965), 440V446.
[15] Hui-Sheng Ding, Zoran Kadelburg, Erdal Karapinar,
Stojan Radenovi´c,Common fixed points of weak
contractions in cone metric spaces, Abstract and
Applied Analysis, 2012 In Press.
[16] M. Geraghty, On contractive mappings, Proc. Amer.
Math. Soc.40(1973),604-608.
[17] J. Harjani, K. Sadarangani, Generalized contractions
in partially ordered metric spaces and applications to
ordinary differential equations, Nonlinear Anal.,72
(2010) 1188-1197.
[18] R.H. Haghi, Sh. Rezapour, Fixed points of
multifunctions on regular cone metric spaces, Expo.
Math.,28(2010) 71-77.
[19] X. Huang, C. Zhu, X. Wen A common fixed point theorem
in cone metric spaces, Int. J. Math. Anal.4(2010),
No.15, 721-726.
[20] L. G. Huang, X. Zhang, Cone metric spaces and fixed
point theorems of contractive mappings, J. Math. Anal.
Appl.322(2007), 1468-1476.
[21] S. Jankovi´c, Z. Kadelburg, S. Radonevi´c, On cone
metric spaces: A survey,Nonlinear Anal.,2011 2591-2601.
[22] S. Jankovi´c, Z. Kadelburg, S. Radonevi´c, B. E.
Rhoades, Assad-Kirk-type Fixed point Theorems for a
Pair of Nonself Mappings on Cone Metric Spaces, Fixed
Point Theory and Applications,2009 Article ID 761086,
16 pages, doi: 10.1155/2009/761086.
[23] G. Jungck, S. Radenovi´c, S. Radojevi´c, and V.
Rakoˇcevi´c, Common fixed point theorems for weakly
compatible pairs on cone metric spaces, Fixed Point
Theory and Applications,2009 Vol. 2009, Article ID
643840, 13 pages,doi: 10.1155/2009/643840.
[24] R. Kannan, Some results on fixed points, Bill.
Calcutta Math. Soc.,60(1968), 71-76.
[25] Z. Kadelburg, S. Radenovi´c, V. Rako´cevi´c, A note on
the equivalence of some metric and cone metric fixed
fixed point results, Appl. Math. Lett.,24(2011), 370-
374.
[26] Z. Kadelburg, S. Radenovi´c, Meir-Keeler-type
conditions in abstract metric spaces, Appl. Math.
Lett., 24(2011), 1411-1414.
[27] Z. Kadelburg, S. Radenovi´c, Some results on set-
valued contractions in abstract metric spaces,
Computers and Mathematics with Applications.,62(2011),
342-350.
[28] D. Kilm, D. Wardowski, Dynamic processes and fixed
points of set-valued nonlinear contractions in cone
metric spaces, Nonlinear. Anal., 71(2009),5170-5175.
[29] A. Meir, E. Keeler, A theorem on contraction mappings,
J. Math. Anal.Appl. 28(1969), 326-329.
[30] N. Mizoguchi, W. Takahashi, Fixed point theorems for
multivalued mappingson complete metric spaces, J. Math.
Anal. Appl., 141(1989), 177-188.
[31] P. D. Proinov, A unified theory of cone metric spaces
and its applications to the fixed point theory, ArXiv:
111.4920, 2011, 51 pages.
[32] S.B. Nadler Jr, Multi-valued contraction mappings,
Pacific J. Math.,30(1969), 475-488.
[33] S. Radenovi´c, Z. Kadelburg, Some results on fixed
points of multifunctions on abstract metric spaces,
Mathematical and Computer Modelling,53(2011), 746-754.
[34] Sh. Rezapour, R. H. Haghi, N. Shahzad, Some Notes on
fixed points of quasicontraction maps, Appl. Math.
Lett., 23 (2010), 498-502.
[35] Sh. Rezapour, H. Khandani, S. M. Vaezpour, Efficacy of
Cones on Topological Vector Spaces and Application to
Common Fixed Points of Multifunctions, Rend. Circ. Mat.
Palermo, 59 (2010), 185-197.
[36] Sh. Rezapour, R. H. Haghi, Fixed point of
multifunctions on cone metric spaces, Numer. Funct.
Anal. and Opt., 30 (7-8) (2009) 825-832.
[37] Sh. Rezapour, M. Drafshpour, R. Hamlbarani, A review
on topological properties of cone metric spaces,
Analysis Topology and Appl., (2008)Vrnjacka Banja,
Serbia, from May 30to June 4, 2008.
[38] Sh. Rezapour, R. Hamlbarani, Some notes on the
paper ”Cone metric spaces and fixed point theorems of
contractive mappings”, J. Math. Anal.Appl., 345 (2008)
719-724.
[39] I.A. Rus, Generalized contractions and applications,
Cluj Univ. Press, Cluj-Napoca, NO. 2(2001).
[40] T. Suzuki, Fixed-point theorem for asymptotic
contractions of Meir-Keeler type in complete metric
spaces, Nonlinear Anal., 6464 (2006), 971-978.
[41] T. Suzuki, Moudafis viscosity approximations with Meir-
Keeler contractions, J. Math. Anal. Appl., 325(2007),
342-352.
[42] K. Wlodarczyk, R. Plebaniak, C. Obczynski, Convergence
theorems, best approximation and best proximity for set-
valued dynamic systems of relatively quasi-asyptotic
contractions in cone uniform spaces, Nonlinear.Anal., 72
(2009), 794-805.
[43] D. Wardowski, Endpoints and fixed points of set-valued
contractions in cone metric spaces, Nonlinear. Anal.,
71(2009), 512-516.
[44] P.P. Zabrejko, K-metric and K-normed linear spaces:
survey, Collect.Math.,48 4-6(1997), 825-859.
[45] Z. Zhao, X. Chen, Fixed points of decreasing operators
in ordered Banach spaces and applications to nonlinear
second order elliptic equations, Computer and Math.with
Appl.,58(2009), 1223-1229.
 
 
 
 
第一頁 上一頁 下一頁 最後一頁 top
* *