Common fixed point theorems for four mappings satisfying ψ-weakly contractive conditions

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• 作者：Zeqing Liu ; Xiaoping Zhang ; Jeong Sheok Ume…
• 关键词：54H25 ; common fixed point ; ψ ; weakly contractive conditions ; ( ψ ; φ ) $(\psi ; \varphi)$ ; weakly contractive conditions ; weakly compatible mappings
• 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：1,040 KB
• 参考文献：1. Rhoades, BE: Some theorems on weakly contractive maps. Nonlinear Anal. 47, 2683-2693 (2001) CrossRef
  2. Abbas, M, Dori?, D: Common fixed point theorem for four mappings satisfying generalized weak contractive condition. Filomat 24, 1-10 (2010) CrossRef
  3. Abbas, M, Khan, MA: Common fixed point theorem of two mappings satisfying a generalized weak contractive condition. Int. J. Math. Math. Sci. 2009, Article ID 131068 (2009) CrossRef
  4. Dori?, D: Common fixed point for generalized \((\psi,\varphi)\) -weak contractions. Appl. Math. Lett. 22, 1896-1900 (2009) CrossRef
  5. Dutta, PN, Choudhury, BS: A generalization of contraction principle in metric spaces. Fixed Point Theory Appl. 2008, Article ID 406368 (2008) CrossRef
  6. Liu, Z: Compatible mappings and fixed points. Acta Sci. Math. 65, 371-383 (1999)
  7. Moradi, S, Fathi, Z, Analouee, E: The common fixed point of single-valued generalized \(\varphi_{f}\) -weakly contractive mappings. Appl. Math. Lett. 24, 771-776 (2011) CrossRef
  8. Popescu, O: Fixed points for \((\psi,\varphi)\) -weak contractions. Appl. Math. Lett. 24, 1-4 (2011) CrossRef
  9. Pasicki, L: Fixed point theorems for contracting mappings in partial metric spaces. Fixed Point Theory Appl. 2014, 185 (2014) CrossRef
  10. Jungck, G, Rhoades, BE: Fixed point for set valued functions without continuity. Indian J. Pure Appl. Math. 29, 227-238 (1998)
  
• 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 existence and uniqueness of common fixed points for four mappings satisfying ψ- and \((\psi, \varphi)\) -weakly contractive conditions in metric spaces are proved. Four examples are given to demonstrate that the results presented in this paper generalize indeed some well-known results in the literature.