Fixed points of (ψ,ϕ,θ)-contractive mappings in partially ordered b-metric spaces and application to quadratic integral equations

被引:0
作者
Asadollah Aghajani
Reza Arab
机构
[1] Islamic Azad University,Department of Mathematics, Karaj Branch
来源
Fixed Point Theory and Applications | / 2013卷
关键词
coupled common fixed point; coupled fixed point; coupled coincidence point; mixed ; -monotone property; -metric space; partially ordered set;
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摘要
We prove some coupled coincidence and coupled common fixed point theorems for mappings satisfying (ψ,ϕ,θ)-contractive conditions in partially ordered complete b-metric spaces. The obtained results extend and improve many existing results from the literature. As an application, we prove the existence of a unique solution to a class of nonlinear quadratic integral equations.
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  • [1] Czerwik S(1998)Nonlinear set-valued contraction mappings in Atti Semin. Mat. Fis. Univ. Modena 46 263-276
  • [2] Czerwik S(1993)-metric spaces Acta Math. Inf. Univ. Ostrav 1 5-11
  • [3] Akkouchi M(2011)Contraction mappings in Hacet. J. Math. Stat 40 805-810
  • [4] Boriceanu M(2009)-metric spaces Int. J. Mod. Math 4 285-301
  • [5] Boriceanu M(2009)Common fixed point theorems for two selfmappings of a Stud. Univ. Babeş-Bolyai, Math LIV 3-14
  • [6] Boriceanu M(2010)-metric space under an implicit relation Cent. Eur. J. Math 8 367-377
  • [7] Bota M(2007)Strict fixed point theorems for multivalued operators in J. Nat. Phys. Sci 11 87-94
  • [8] Petrusel A(2011)-metric spaces Comput. Math. Appl 62 1677-1684
  • [9] Czerwik S(2010)Fixed point theory for multivalued generalized contraction on a set with two An. Univ. Vest. Timiş., Ser. Mat.-Inf XLVIII 125-137
  • [10] Dlutek K(2008)-metrics Comput. Math. Appl 55 2512-2520