用户名: 密码: 验证码:
Some new common fixed point results for three pairs of mappings in generalized metric spaces
详细信息    查看全文
  • 作者:Feng Gu (1)
    Zhongzhi Yang (2)
  • 关键词:G ; metric space ; weakly commuting mapping pairs ; weakly compatible mapping pairs ; common fixed point
  • 刊名:Fixed Point Theory and Applications
  • 出版年:2013
  • 出版时间:December 2013
  • 年:2013
  • 卷:2013
  • 期:1
  • 全文大小:263KB
  • 参考文献:1. G盲hler S: 2-Metrische r盲ume und ihre topologische struktur. / Math. Nachr. 1963, 26:115鈥?48. CrossRef
    2. G盲hler S: Zur geometric 2-metrische r盲ume. / Rev. Roum. Math. Pures Appl. 1966, 11:665鈥?67.
    3. Dhage BC: Generalized metric space and mapping with fixed point. / Bull. Calcutta Math. Soc. 1992, 84:329鈥?36.
    4. Dhage BC: Generalized metric space and topological structure I . / An. Stiint. Univ. Al. I. Cuza Iasi. Mat. 2000,46(1):3鈥?4.
    5. Mustafa Z, Sims B: Some remarks concerning D -metric spaces. / Proceedings of the International Conference on Fixed Point Theory and Applications 2003, July; Valencia (Spain)189鈥?98.
    6. Mustafa Z, Sims B: A new approach to a generalized metric spaces. / J. Nonlinear Convex Anal. 2006,7(2):289鈥?97.
    7. Abbas M, Nazir T, Saadati R: Common fixed point results for three maps in generalized metric space. / Adv. Differ. Equ. 2011., 2011: Article ID 49
    8. Mustafa Z, Sims B: Fixed point theorems for contractive mappings in complete G -metric spaces. / Fixed Point Theory Appl. 2009., 2009: Article ID 917175
    9. Abbas M, Rhoades BE: Common fixed point results for noncommuting mappings without continuity in generalized metric spaces. / Appl. Math. Comput. 2009, 215:262鈥?69. CrossRef
    10. Mustafa Z, Obiedat H, Awawdeh F: Some fixed point theorems for mappings on complete G -metric space. / Fixed Point Theory Appl. 2008., 2008: Article ID 189870
    11. Mustafa Z, Shatanawi W, Bataineh M: Existence of fixed point results in G -metric spaces. / Int. J. Math. Math. Sci. 2009., 2009: Article ID 283028
    12. Abbas M, Khan SH, Nazir T: Common fixed points of R -weakly commuting maps in generalized metric spaces. / Fixed Point Theory Appl. 2011., 2011: Article ID 784595
    13. Chugh R, Kadian T, Rani A, Rhoades BE: Property P in G -metric spaces. / Fixed Point Theory Appl. 2010., 2010: Article ID 401684
    14. Manro S, Kumar S, Bhatia SS: R -Weakly commuting maps in G -metric spaces. / Fasc. Math. 2011, 47:11鈥?8.
    15. Vats RK, Kumar S, Sihag V: Fixed point theorems in complete G -metric spaces. / Fasc. Math. 2011, 47:127鈥?39.
    16. Abbas M, Nazir T, Vetro P: Common fixed point results for three maps in G -metric spaces. / Filomat 2011,25(4):1鈥?7. CrossRef
    17. Mustafa Z, Awawdeh F, Shatanawi W: Fixed point theorem for expansive mappings in G -metric spaces. / Int. J.聽Contemp. Math. Sci. 2010,5(50):2463鈥?472.
    18. Rao KPR, Sombabu A, Prasad JR: A common fixed point theorem for six expansive mappings in G -metric spaces. / J.聽Sci. Eng. Technol. 2011,7(1):113鈥?20.
    19. Shatanawi W: Fixed point theory for contractive mappings satisfying 桅-maps in G -metric spaces. / Fixed Point Theory Appl. 2010., 2010: Article ID 181650
    20. Gaji膰 L, Lozanov-Crvenkovi膰 Z: A fixed point results for mappings with contractive iterate at a point in G -metric spaces. / Filomat 2011,25(2):53鈥?8. CrossRef
    21. Vats RK, Kumar S, Sihag V: Some common fixed point theorem for compatible mappings of type in complete G -metric space. / Adv. Fuzzy Math. 2011,6(1):27鈥?8.
    22. Aydi H: A fixed point result involving a generalized weakly contractive condition in G -metric spaces. / Bull. Math. Anal. Appl. 2011,3(4):180鈥?88.
    23. Gaji膰 L, Stojakovi膰 M: On 膯iri膰 generalization of mappings with a contractive iterate at a point in G -metric spaces. / Appl. Math. Comput. 2012,219(1):435鈥?41. CrossRef
    24. Kaewcharoen A: Some common fixed point theorems for contractive mappings satisfying 桅-maps in G -metric spaces. / Banach J. Math. Anal. 2012,6(1):101鈥?11.
    25. Mustafa Z, Khandagji M, Shatanawi W: Fixed point results on complete G -metric spaces. / Studia Sci. Math. Hung. 2011,48(3):304鈥?19.
    26. Aydi H, Shatanawi W, Vetro C: On generalized weakly G -contraction mapping in G -metric spaces. / Comput. Math. Appl. 2011, 62:4222鈥?229. CrossRef
    27. Abbas M, Nazir T, Radenovi膰 S: Some periodic point results in generalized metric spaces. / Appl. Math. Comput. 2010, 217:4094鈥?099. CrossRef
    28. Obiedat H, Mustafa Z: Fixed point results on a nonsymmetric G -metric spaces. / Jordan J. Math. Stat. 2010,3(2):65鈥?9.
    29. Shatanawi W: Coupled fixed point theorems in generalized metric spaces. / Hacet. J. Math. Stat. 2011,40(3):441鈥?47.
    30. Mustafa Z, Obiedat H: A fixed point theorem of Reich in complete G -metric spaces. / CUBO 2010,12(1):83鈥?3. CrossRef
    31. Gu F: Common fixed point theorems for six mappings in generalized metric spaces. / Abstr. Appl. Anal. 2012., 2012: Article ID 379212
    32. Gu F, Ye H: Common fixed point theorems of Altman integral type mappings in G -metric spaces. / Abstr. Appl. Anal. 2012., 2012: Article ID 630457
    33. Ye H, Gu F: Common fixed point theorems for a class of twice power type contraction maps in G -metric spaces. / Abstr. Appl. Anal. 2012., 2012: Article ID 736214
    34. Yin Y, Gu F: Common fixed point theorem about four mappings in G -metric spaces. / J. Hangzhou Norm. Univ., Nat. Sci. 2012,11(6):511鈥?15.
    35. Gu F, Yin Y: Common fixed point for three pairs of self-maps satisfying common property in generalized metric spaces. / Abstr. Appl. Anal. 2013., 2013: Article ID 808092
    36. Gu F, Zhou S: Coupled common fixed point theorems for a pair of commuting mappings in partially ordered G -metric spaces. / Fixed Point Theory Appl. 2013., 2013: Article ID 64 doi:10.1186/1687-1812-2013-64
    37. Ye H, Lu J, Gu F: A new common fixed point theorem for noncompatible mappings of type in G -metric spaces. / J. Hangzhou Norm. Univ., Nat. Sci. 2013,12(1):50鈥?6.
    38. Zhou S, Gu F: Some new fixed point theorems in G -metric spaces. / J. Hangzhou Norm. Univ., Nat. Sci. 2012,11(1):47鈥?0.
    39. Mustafa Z: Common fixed points of weakly compatible mappings in G -metric spaces. / Appl. Math. Sci. 2012,6(92):4589鈥?600.
    40. Mustafa Z: Some new common fixed point theorems under strict contractive conditions in G -metric spaces. / J. Appl. Math. 2012., 2012: Article ID 248937
    41. Tahat N, Aydi H, Karapinar E, Shatanawi W: Common fixed points for single-valued and multi-valued maps satisfying a generalized contraction in G -metric spaces. / Fixed Point Theory Appl. 2012., 2012: Article ID 48
    42. Aydi H: A common fixed point of integral type contraction in generalized metric spaces. / J. Adv. Math. Stud. 2012,5(1):111鈥?17.
    43. Abbas M, Nazir T, Doric D: Common fixed point of mappings satisfying property in generalized metric spaces. / Appl. Math. Comput. 2012,218(14):7665鈥?670. CrossRef
    44. Mustafa Z, Aydi H, Karapinar E: On common fixed points in G -metric spaces using property. / Comput. Math. Appl. 2012,64(6):1944鈥?956. CrossRef
    45. Long W, Abbas M, Nazir T, Radenovic S: Common fixed point for two pairs of mappings satisfying property in generalized metric spaces. / Abstr. Appl. Anal. 2012., 2012: Article ID 394830
    46. Gugnani M, Aggarwal M, Chugh R: Common fixed point results in G -metric spaces and applications. / Int. J. Comput. Appl. 2012,43(11):38鈥?2.
    47. Popa V, Patriciu A-M: A general fixed point theorem for pairs of weakly compatible mappings in G -metric spaces. / J.聽Nonlinear Sci. Appl. 2012, 5:151鈥?60.
    48. Shatanawi W, Postolache M: Some fixed point results for a G -weak contraction in G -metric spaces. / Abstr. Appl. Anal. 2012., 2012: Article ID 815870 doi:10.1155/2012/815870
    49. Aydi H, Karapinar E, Shatanawi W: Tripled common fixed point results for generalized contractions in ordered generalized metric spaces. / Fixed Point Theory Appl. 2012., 2012: Article ID 101
    50. Aydi H, Karapinar E, Shatanawi W: Tripled fixed point results in generalized metric spaces. / J. Appl. Math. 2012., 2012: Article ID 314279
    51. Gholizadeh L, Saadati R, Shatanawi W, Vaezpour SM: Contractive mapping in generalized, ordered metric spaces with application in integral equations. / Math. Probl. Eng. 2011., 2011: Article ID 380784 doi:10.1155/2011/380784
  • 作者单位:Feng Gu (1)
    Zhongzhi Yang (2)

    1. Institute of Applied Mathematics and Department of Mathematics, Hangzhou Normal University, Hangzhou, Zhejiang, 310036, China
    2. Accounting School, Zhejiang University of Finance and Economics, Hangzhou, Zhejiang, 310018, China
  • ISSN:1687-1812
文摘
In this paper, we use weakly commuting and weakly compatible conditions of self-mapping pairs, prove some new common fixed point theorems for three pairs of self-mappings in G-metric spaces. An example is provided to support our result. The results presented in this paper extend and improve several well-known comparable results. MSC: 47H10, 54H25, 54E50.

© 2004-2018 中国地质图书馆版权所有 京ICP备05064691号 京公网安备11010802017129号

地址:北京市海淀区学院路29号 邮编:100083

电话:办公室:(+86 10)66554848;文献借阅、咨询服务、科技查新:66554700