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Approximation of point of coincidence and common fixed points of quasi-contraction mappings using the Jungck iteration scheme

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  • Proinov, Petko D.
  • Nikolova, Ivanka A.

Abstract

Let (X, d) be a cone metric space over a solid vector space (Y, ⪯). In this paper, we prove a convergence theorem with error estimates and localization formula for Jungck iteration process for approximating points of coincidence and common fixed points of two selfmappings T and f of X satisfying a quasi-contraction condition of the type d(Tx,Ty)⪯λco{d(fx,fy),d(fx,Tx),d(fy,Ty),d(fx,Ty),d(fy,Tx)}for all x, y ∈ X, where λ ∈ (0, 1) is a constant. Our result complements the recent result of Ding et al. [9].

Suggested Citation

  • Proinov, Petko D. & Nikolova, Ivanka A., 2015. "Approximation of point of coincidence and common fixed points of quasi-contraction mappings using the Jungck iteration scheme," Applied Mathematics and Computation, Elsevier, vol. 264(C), pages 359-365.
    • Handle: RePEc:eee:apmaco:v:264:y:2015:i:c:p:359-365
    DOI: 10.1016/j.amc.2015.04.098
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    Cited by:

    1. Chirasak Mongkolkeha & Dhananjay Gopal, 2018. "Some Common Fixed Point Theorems for Generalized F -Contraction Involving w -Distance with Some Applications to Differential Equations," Mathematics, MDPI, vol. 7(1), pages 1-20, December.

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