Convergence of an Ishikawa iteration scheme for nonlinear quasi-contractive mappings in convex metric spaces | Zendy

K. P. R. Sastry | Zendy; G. V. R. Babu | Zendy; Ch. Srinivasa Rao | Zendy

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Convergence of an Ishikawa iteration scheme for nonlinear quasi-contractive mappings in convex metric spaces

Author(s) -

K. P. R. Sastry,

G. V. R. Babu,

Ch. Srinivasa Rao

Publication year - 2001

Publication title -

tamkang journal of mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.324

H-Index - 18

eISSN - 0049-2930

pISSN - 2073-9826

DOI - 10.5556/j.tkjm.32.2001.353

Subject(s) - mathematics , regular polygon , convergence (economics) , nonlinear system , metric space , scheme (mathematics) , fixed point theorem , metric (unit) , pure mathematics , fixed point , space (punctuation) , discrete mathematics , mathematical analysis , geometry , operations management , physics , quantum mechanics , economics , economic growth , linguistics , philosophy

In this paper, we show that the Ishikawa iteration scheme for a nonlinear quasicontractive selfmap of a nonempty closed convex subset of a complete convex metric space, converges to the unique fixed point. Our theorem generalizes Ciric's result (1999) and partially solves an open problem of Ciric [5]

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