A CONVERGENCE THEOREM IN GENERALIZED CONVEX CONE METRIC SPACES | Zendy

Birol Gündüz | Zendy

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A CONVERGENCE THEOREM IN GENERALIZED CONVEX CONE METRIC SPACES

Author(s) -

Birol Gündüz

Publication year - 2018

Publication title -

communications faculty of science university of ankara series a1mathematics and statistics

Language(s) - English

Resource type - Journals

ISSN - 1303-5991

DOI - 10.1501/commua1_0000000869

Subject(s) - dual cone and polar cone , mathematics , cone (formal languages) , convergence (economics) , convex cone , regular polygon , convex metric space , metric space , convex analysis , pure mathematics , mathematical analysis , convex optimization , geometry , algorithm , economics , economic growth

The aim of this work is to establish convergence theorem of a new iteration process for a finite family of I-asymptotically quasi-nonexpansive mappings and a finite family of asymptotically quasi-nonexpansive mappings in generalized convex cone metric spaces. Our result is valid in the whole space, whereas the results given in [4, 5] are valid in a nonempty convex subset of a convex cone metric space. Our convergence results generalize and refine not only result of Gunduz [6] but also results of Lee [4, 5] and Temir [9].

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