Quasi-partial b-metric spaces and some related fixed point theorems

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• 作者：Anuradha Gupta (1)
  Pragati Gautam (2)
  
  1. Department of Mathematics ; Delhi College of Arts and Commerce ; University of Delhi ; New Delhi ; 110023 ; India
  2. Department of Mathematics ; Kamala Nehru College ; University of Delhi ; August Kranti Marg ; New Delhi ; 110049 ; India
  
• 关键词：47H09 ; 47H10 ; 54H25 ; quasi ; metric space ; partial ; metric space ; quasi ; partial metric ; T ; orbitally lower semi ; continuous ; quasi ; partial b ; metric space ; fixed point theorem
• 刊名：Fixed Point Theory and Applications
• 出版年：2015
• 出版时间：December 2015
• 年：2015
• 卷：2015
• 期：1
• 全文大小：1,242 KB
• 参考文献：1. Czerwik, S: Contraction mappings in / b-metric spaces. Acta Math. Inform. Univ. Ostrav. 1, 5-11 (1993)
  2. Mukheimer, A: / 伪- / 蠄- / 蠒-Contractive mappings in ordered partial / b-metric spaces. J. Nonlinear Sci. Appl. 7, 168-179 (2014)
  3. Shatanawi, W: On / 蠅-compatible mappings and common coupled coincidence point in cone metric spaces. Appl. Math. Lett. 25, 925-931 (2012) CrossRef
  4. Bhaskar, TG, Lakshmikantham, V: Fixed point theorems in partially ordered metric spaces and applications. Nonlinear Anal. 65, 1379-1393 (2006) CrossRef
  5. Lakshmikantham, V, 膯iri膰, L: Coupled fixed point theorems for nonlinear contractions in partially ordered metric spaces. Nonlinear Anal. 70, 4341-4349 (2009) CrossRef
  6. Hicks, TL: Fixed point theorems for quasi-metric spaces. Math. Jpn. 33(2), 231-236 (1988)
  7. Karap谋nar, E: Generalizations of Caristi Kirk鈥檚 theorem on partial metric spaces. Fixed Point Theory Appl. 2011, Article ID 4 (2011) CrossRef
  8. Ali, MU: Mizoguchi-Takahashi鈥檚 type common fixed point theorem. J. Egypt. Math. Soc. 22, 272-274 (2014) CrossRef
  9. Bakhtin, IA: The contraction principle in quasimetric spaces. In: Functional Analysis, vol.聽30, pp.聽26-37 (1989)
  10. Bota, M-F, Karap谋nar, E, Mle艧ni牛e, O: Ulam-Hyers stability results for fixed point problems via / 伪- / 蠄-contractive mapping in ( / b)-metric space. Abstr. Appl. Anal. 2013, Article ID 825293 (2013) CrossRef
  11. Bota, M-F, Karap谋nar, E: A note on 鈥楽ome results on multi-valued weakly Jungck mappings in / b-metric space鈥? Cent. Eur. J. Math. 11(9), 1711-1712 (2013) CrossRef
  12. Aydi, H, Bota, M-F, Karap谋nar, E, Moradi, S: A common fixed point for weak / 蠒-contractions ON / b-metric spaces. Fixed Point Theory 13(2), 337-346 (2012)
  13. Aydi, H, Bota, M-F, Karap谋nar, E, Mitrovi膰, S: A fixed point theorem for set-valued quasi-contractions in / b-metric spaces. Fixed Point Theory Appl. 2012, Article ID 88 (2012) CrossRef
  14. Latif, A, Al-Mezel, SA: Fixed point results in quasi metrics spaces. Fixed Point Theory Appl. 2011, Article ID 178306 (2011) CrossRef
  15. Shukla, S: Partial / b-metric spaces and fixed point theorems. Mediterr. J. Math. 11, 703-711 (2014) CrossRef
  16. Caristi, J: Fixed point theorems for mapping satisfying inwardness conditions. Trans. Am. Math. Soc. 215, 241-251 (1976) CrossRef
  17. Karap谋nar, E, Erhan, 脥M, 脰zturk, A: Fixed point theorems on quasi-partial metric spaces. Math. Comput. Model. 57, 2442-2448 (2013) CrossRef
  18. Shatanawi, W, Pitea, A: Some coupled fixed point theorems in quasi-partial metric spaces. Fixed Point Theory Appl. 2013, Article ID 153 (2013). doi:10.1186/1637-1812-2013-153 CrossRef
  19. Matthews, SG: Partial metric topology, general topology and its applications. Ann. N.Y. Acad. Sci. 728, 183-197 (1994) 49-6632.1994.tb44144.x" target="_blank" title="It opens in new window">CrossRef
  20. Altun, I, Erduran, A: Fixed point theorems, for monotone mappings on partial metric spaces. Fixed Point Theory Appl. 2011, Article ID 508730 (2011) CrossRef
  21. Matthews, SG: Partial Metric Topology. Research Report 212, Department of Computer Science, University of Warwick (1992)
  
• 刊物主题：Analysis; Mathematics, general; Applications of Mathematics; Differential Geometry; Topology; Mathematical and Computational Biology;
• 出版者：Springer International Publishing
• ISSN：1687-1812

文摘

In this paper, the quasi-partial b-metric space is defined and general fixed point theorems on this space are discussed with examples.