Approximating fixed points for nonlinear generalized mappings using Ishikawa iteration

  • Cristian Daniel AlecsaEmail author


We obtain a contractive condition for the existence and uniqueness of fixed points for a generalized contraction-type mapping. The present study focuses on providing a method for the existence of fixed points for nonlinear mappings. Sufficient conditions for the existence and uniqueness of such points are obtained using Ishikawa iteration process. Moreover, an example is given.


Fixed point Generalized contraction Ishikawa Convergence Convex metric space 

Mathematics Subject Classification

47H10 54H25 



The author is thankful to his Phd coordinator, professor dr. Adrian Petruşel from Babeş - Bolyai University, for his support and useful suggestions throughout the entire article.


This research did not receive any specific grant from funding agencies in the public, commercial, or not-for-profit sectors.


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Copyright information

© Springer-Verlag Italia S.r.l., part of Springer Nature 2018

Authors and Affiliations

  1. 1.Department of MathematicsBabeş-Bolyai UniversityCluj-NapocaRomania
  2. 2.Tiberiu Popoviciu Institute of Numerical AnalysisCluj-NapocaRomania

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