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عنوان
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B-CONE BANACH SPACES OVER BANACH ALGEBRAS AND COMMON FIXED POINT THEOREMS ON THIS SPACES
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نوع پژوهش
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مقاله ارائه شده
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کلیدواژهها
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Banach algebras; Cone b-metric space; fixed point; ψ- operator; quasi-cone b-norm; quasi-cone b-normed space; quasi-cone b-Banach space
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چکیده
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In 2001 Hussain and Shah [1] introduced cone b-metric space. Many researchers continued the work of Hussain and Shah, and prove some fixed point theorems and common fixed point theorems for multiple operators on these new spaces. In this paper we propose a notion of quasi-cone over Banach algebras, then by utilizing some new conditions and following their work with introducing two mappings T and S we improve the fixed point theorems to the common fixed point theorems. Two corollary are given to illustrate the usability of the obtained results.
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پژوهشگران
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حجت افشاری (نفر سوم)، هادی شجاعت (نفر دوم)، منصوره سیاهکلی مرادی (نفر اول)
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