Some new fixed point results in partial ordered metric spaces via admissible mappings

详细信息    查看全文

• 作者：Wei Long (16)
  Soomieh Khaleghizadeh (17)
  Peyman Salimi (18)
  Stojan Radenovi膰 (19)
  Satish Shukla (20)
  
  16. College of Mathematics and Information Science ; Jiangxi Normal University ; Nanchang ; Jiangxi ; 330022 ; People鈥檚 Republic of China
  17. Department of Mathematics ; Payame Noor University ; P.O. Box 19395-3697 ; Tehran ; Iran
  18. Young Researchers and Elite Club ; Rasht Branch ; Islamic Azad University ; Rasht ; Iran
  19. Faculty of Mechanical Engineering ; University of Belgrade ; Kraljice marije 16 ; Beograd ; 11120 ; Serbia
  20. Department of Applied Mathematics ; Shri Vaishnav Institute of Technology and Science ; Gram Baroli ; Sanwer Road ; Indore ; MP ; 453331 ; India
  
• 关键词：partially ordered set ; admissible mappings ; fixed point
• 刊名：Fixed Point Theory and Applications
• 出版年：2014
• 出版时间：December 2014
• 年：2014
• 卷：2014
• 期：1
• 全文大小：238 KB
• 参考文献：1. Banach, S (1922) Sur les op茅rations dans les ensembles abstraits et leur application aux 茅quations int茅grales. Fundam. Math 3: pp. 133-181
  2. Berinde, V, Vetro, F (2012) Common fixed points of mappings satisfying implicit contractive conditions. Fixed Point Theory Appl.
  3. Chatterjea, SK (1972) Fixed point theorem. C. R. Acad. Bulgare Sci 25: pp. 727-730
  4. 膯iri膰, LB (1974) A generalization of Banach鈥檚 contraction principle. Proc. Am. Math. Soc 45: pp. 267-273
  5. Damjanovic, B, Samet, B, Vetro, C (2012) Common fixed point theorems for multi-valued maps. Acta Math. Sci. Ser. B, Engl. Ed 32: pp. 818-824 p://dx.doi.org/10.1016/S0252-9602(12)60063-0" target="_blank" title="It opens in new window">CrossRef
  6. Had啪i膰, O, Pap, E (2001) Fixed Point Theory in Probabilistic Metric Spaces. Kluwer Academic, London
  7. Kannan, R (1968) Some results on fixed points. Bull. Calcutta Math. Soc 60: pp. 71-76
  8. Kannan, R (1969) Some results on fixed points - II. Am. Math. Mon 76: pp. 405-408 p://dx.doi.org/10.2307/2316437" target="_blank" title="It opens in new window">CrossRef
  9. Matthews, SG (1994) Partial metric topology. Proc. 8th Summer Conference on General Topology and Applications. pp. 183-197
  10. Mustafa, Z, Sims, B (2006) A new approach to generalized metric spaces. J. Nonlinear Convex Anal 7: pp. 289-297
  11. Nadler, SB (1969) Multi-valued contraction mappings. Pac. J. Math 30: pp. 475-488 p://dx.doi.org/10.2140/pjm.1969.30.475" target="_blank" title="It opens in new window">CrossRef
  12. Reich, S (1971) Kannan鈥檚 fixed point theorem. Boll. Unione Mat. Ital 4: pp. 1-11
  13. Suzuki, T (2008) A generalized Banach contraction principle that characterizes metric completeness. Proc. Am. Math. Soc 136: pp. 1861-1869 p://dx.doi.org/10.1090/S0002-9939-07-09055-7" target="_blank" title="It opens in new window">CrossRef
  14. Vetro, F (2011) On approximating curves associated with nonexpansive mappings. Carpath. J. Math 27: pp. 142-147
  15. Dutta, PN, Choudhury, BS (2008) A generalization of contraction principle in metric spaces. Fixed Point Theory Appl.
  16. Abbas, M, Dori膰, D (2010) Common fixed point theorem for four mappings satisfying generalized weak contractive condition. Filomat 24: pp. 1-10 p://dx.doi.org/10.2298/FIL1002001A" target="_blank" title="It opens in new window">CrossRef
  17. Dori膰, D (2009) Common fixed point for generalized -weak contractions. Appl. Math. Lett 22: pp. 1896-1900 p://dx.doi.org/10.1016/j.aml.2009.08.001" target="_blank" title="It opens in new window">CrossRef
  18. Aydi, H, Karapinar, E, Samet, B (2012) Remarks on some recent fixed point theorems. Fixed Point Theory Appl.
  19. Ran, ACM, Reurings, MCB (2004) A fixed point theorem in partially ordered sets and some application to matrix equations. Proc. Am. Math. Soc 132: pp. 1435-1443 p://dx.doi.org/10.1090/S0002-9939-03-07220-4" target="_blank" title="It opens in new window">CrossRef
  20. Harjani, J, Sadarangani, K (2010) Generalized contractions in partially ordered metric spaces and applications to ordinary differential equations. Nonlinear Anal 72: pp. 1188-1197 p://dx.doi.org/10.1016/j.na.2009.08.003" target="_blank" title="It opens in new window">CrossRef
  21. Choudhury, BS, Kundu, A (2012) -Weak contractions in partially ordered metric spaces. Appl. Math. Lett 25: pp. 6-10 p://dx.doi.org/10.1016/j.aml.2011.06.028" target="_blank" title="It opens in new window">CrossRef
  22. Karapinar, E, Salimi, P (2012) Fixed point theorems via auxiliary functions. J. Appl. Math.
  23. Samet, B, Vetro, C, Vetro, P (2012) Fixed point theorems for 伪-蠄-contractive type mappings. Nonlinear Anal 75: pp. 2154-2165 p://dx.doi.org/10.1016/j.na.2011.10.014" target="_blank" title="It opens in new window">CrossRef
  24. Salimi, P, Latif, A, Hussain, N (2013) Modified 伪-蠄-contractive mappings with applications. Fixed Point Theory Appl.
  25. Mohammadi, B, Rezapour, S, Shahzad, N (2013) Some results on fixed points of 伪-蠄-Ciric generalized multifunctions. Fixed Point Theory Appl.
  26. Asl, JH, Rezapour, S, Shahzad, N (2012) On fixed points of 伪-蠄-contractive multifunctions. Fixed Point Theory Appl.
  27. Alikhani, H, Rezapour, S, Shahzad, N (2013) Fixed points of a new type of contractive mappings and multifunctions. Filomat 27: pp. 1315-1319 p://dx.doi.org/10.2298/FIL1307315A" target="_blank" title="It opens in new window">CrossRef
  28. Hussain, N, Karapinar, E, Salimi, P, Akbar, F (2013) 伪-Admissible mappings and related fixed point theorems. J. Inequal. Appl.
  29. Geraghty, M (1973) On contractive mappings. Proc. Am. Math. Soc 40: pp. 604-608 p://dx.doi.org/10.1090/S0002-9939-1973-0334176-5" target="_blank" title="It opens in new window">CrossRef
  30. Hussain, N, Karapinar, E, Salimi, P, Vetro, P (2013) Fixed point results for -Meir-Keeler contractive and G- -Meir-Keeler contractive mappings. Fixed Point Theory Appl.
  31. Salimi, P, Vetro, C, Vetro, P (2013) Fixed point theorems for twisted -蠄-contractive type mappings and applications. Filomat 27: pp. 605-615 p://dx.doi.org/10.2298/FIL1304605S" target="_blank" title="It opens in new window">CrossRef
  32. Salimi, P, Vetro, C, Vetro, P (2013) Some new fixed point results in non-Archimedean fuzzy metric spaces. Nonlinear Anal., Model. Control 18: pp. 344-358
  33. Hussain, N, Kutbi, MA, Salimi, P (2013) Best proximity point results for modified 伪-蠄-proximal rational contractions. Abstr. Appl. Anal.
  34. Hussain, N, Salimi, P, Latif, A (2013) Fixed point results for single and set-valued 伪-畏-蠄-contractive mappings. Fixed Point Theory Appl.
  
• 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

The purpose of this paper is to discuss the existence of fixed points for new classes of mappings defined on an ordered metric space. The obtained results generalize and improve some fixed point results in the literature. Some examples show the usefulness of our results. MSC: 46N40, 47H10, 54H25, 46T99.