Some coupled coincidence point theorems for a mixed monotone operator in a complete metric space endowed with a partial order by using altering distance functions

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• 作者：Saud M Alsulami (4)
  
• 关键词：coupled coincidence points ; partially metric spaces ; contractive mappings ; mixed g ; monotone property
• 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：195 KB
• 参考文献：1. Alotaibi A, Alsulami SM: Coupled coincidence points for monotone operators in partially ordered metric spaces. / Fixed Point Theory Appl. 2011., 2011: Article ID 44
  2. Alsulami SM, Nawab H, Alotaibi A: Coupled fixed and coincidence points for monotone operators in partial metric spaces. / Fixed Point Theory Appl. 2012., 2012: Article ID 173
  3. Bhaskar TG, Lakshmikantham V: Fixed point theorems in partially ordered metric spaces and applications. / Nonlinear Anal., Theory Methods Appl. 2006, 65:1379鈥?393. CrossRef
  4. Yeol, JC, Shah, MH, Nawab, H: Coupled fixed points of weakly / F-contractive mappings in topological spaces. Appl. Math. Lett. (2011, in press)Yeol, JC, Shah, MH, Nawab, H: Coupled fixed points of weakly / F-contractive mappings in topological spaces. Appl. Math. Lett. (2011, in press)
  5. Choudhury BS, Kundu A: A coupled coincidence point result in partially ordered metric spaces for compatible mappings. / Nonlinear Anal., Theory Methods Appl. 2010, 73:2524鈥?531. CrossRef
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  7. Jungck G: Compatible mappings and common fixed points. / Int. J. Math. Math. Sci. 1986, 9:771鈥?79. CrossRef
  8. Khamsi M, Kirk W: / An Introduction to Metric Spaces and Fixed Point Theory. Wiley-Interscience, New York; 2001. [ / Pure and Applied Mathematics]
  9. Nguyen V, Nguyen X: Coupled fixed point in partially ordered metric spaces and applications. / Nonlinear Anal., Theory Methods Appl. 2011, 74:983鈥?92. CrossRef
  10. Zhang X: Fixed point theorems of multivalued monotone mappings in ordered metric spaces. / Appl. Math. Lett. 2010, 23:235鈥?40. CrossRef
  11. Lakshmikantham V, Ciric L: Coupled fixed point theorems for nonlinear contractions in partially ordered metric spaces. / Nonlinear Anal., Theory Methods Appl. 2009,70(12):4341鈥?349. CrossRef
  
• 作者单位：Saud M Alsulami (4)
  
  4. Department of Mathematics, King Abdulaziz University, P.O. Box 138381, Jeddah, 21323, Saudi Arabia
  
• ISSN：1687-1812

文摘

In this paper, we present some coupled coincidence point results for mixed g-monotone mappings in partially ordered complete metric spaces involving altering distance functions. Moreover, we present an example to illustrate our main result. Our results extend some results in the field. MSC: 47H09, 47H10, 49M05.