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

Petko D. Proinov and Ivanka A. Nikolova

Applied Mathematics and Computation, 2015, vol. 264, issue C, 359-365

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].

Keywords: Jungck iteration; Convergence theorem; Point of coincidence; Common fixed point; Quasi-contraction; Error estimates (search for similar items in EconPapers)
Date: 2015
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Citations: View citations in EconPapers (1)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:264:y:2015:i:c:p:359-365

DOI: 10.1016/j.amc.2015.04.098

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