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International Journal of Nonlinear Analysis and Applications، جلد ۱۲، شماره ۲، صفحات ۸۲۵-۸۴۲
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عنوان انگلیسی Shrinking approximation method for solution of split monotone variational inclusion and fixed point problems in Banach spaces
چکیده انگلیسی مقاله In this paper, we investigate a shrinking algorithm for finding a solution of split monotone variational inclusion problem which is also a common fixed point problem of relatively nonexpansive mapping in uniformly convex real Banach spaces which are also uniformly smooth. The iterative algorithm employed in this paper is design in such a way that it does not require prior knowledge of operator norm. We prove a strong convergence result for approximating the solutions of the aforementioned problems and give applications of our main result to split convex minimization problem. The result present in this paper extends and complements many related results in literature.
کلیدواژه‌های انگلیسی مقاله Maximal monotone operators, Relatively nonexpansive mapping, shrinking iterative scheme, split feasibility problem, fixed point problem
نویسندگان مقاله Francis Akutsah |
School of Mathematics, Statistics and Computer Science, University of KwaZulu-Natal, Durban, South Africa

Narain Ojen Kumar |
School of Mathematics, Statistics and Computer Science, University of KwaZulu-Natal, Durban, South Africa

Abass Hammed Anuoluwapo |
School of Mathematics, Statistics and Computer Science, University of KwaZulu-Natal, Durban, South Africa

Akindele Adebayo Mebawondu |
School of Mathematics, Statistics and Computer Science, University of KwaZulu-Natal, Durban, South Africa

نشانی اینترنتی https://ijnaa.semnan.ac.ir/article_5140_cc0629302ffb8cd8f654b36b6f959762.pdf
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