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Lotfikar, Roushanak, Zamani Eskandani, Gholamreza, Raeisi, Massoumeh. (1401). Multi-valued Bregman nonspreading mapping in Banach spaces. , (), -. doi: 10.30495/jnrm.2023.63991.2178
Roushanak Lotfikar; Gholamreza Zamani Eskandani; Massoumeh Raeisi. "Multi-valued Bregman nonspreading mapping in Banach spaces". , , , 1401, -. doi: 10.30495/jnrm.2023.63991.2178
Lotfikar, Roushanak, Zamani Eskandani, Gholamreza, Raeisi, Massoumeh. (1401). 'Multi-valued Bregman nonspreading mapping in Banach spaces', , (), pp. -. doi: 10.30495/jnrm.2023.63991.2178
Lotfikar, Roushanak, Zamani Eskandani, Gholamreza, Raeisi, Massoumeh. Multi-valued Bregman nonspreading mapping in Banach spaces. , 1401; (): -. doi: 10.30495/jnrm.2023.63991.2178

Multi-valued Bregman nonspreading mapping in Banach spaces

Journal of New Researches in Mathematics
مقالات آماده انتشار، پذیرفته شده، انتشار آنلاین از تاریخ 27 دی 1401  XML
نوع مقاله: research paper
شناسه دیجیتال (DOI): 10.30495/jnrm.2023.63991.2178
نویسندگان
Roushanak Lotfikar email 1؛ Gholamreza Zamani Eskandani2؛ Massoumeh Raeisi2
1Faculty of Basic Science, Ilam University, P. O. Box 69315-516, Ilam, Iran,
2Department of Pure Mathematics, University of Tabriz, Tabriz, Iran
چکیده
In 2008, Kohsaka and Takahashi introduced a nonlinear mapping called nonspreading mapping

in a smooth, strictly convex, and reflexive Banach space[1]. Since then, some fixed point theorems

of such mapping has been studied by many researchers. We note that the concept of nonspreading

mapping is very important because of useful applications. In this paper, we introduce and

investigate the concept of multi-valued nonspreading mapping in Banach spaces which is called

multi-valued Bregman nonspreading mapping. For this purpose, we introduce the Bregman

Hausdorff distance on closed and bounded subsets of a Banach space X. We prove some properties

of multi-valued Bregman nonspreading mapping. Furthermore, a weak convergence theorem

for approximating a common fixed point of a finite family of multi-valued Bregman nonspreading

mappings is established in Banach spaces. Also, we prove a theorem of the existence of a fixed

point for the single-valued Bregman nonspreading mappings. The theorems proved improve and

complete a host of important recent results.
کلیدواژه‌ها
Nonspreading mappings؛ Hausdorff distance؛ Bregman distance؛ Fixed point
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تعداد مشاهده مقاله: 211


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