افضل تقريب في فضاءات b - المعيارية
محتوى المقالة الرئيسي
الملخص
في البداية، نعطي بعض المفاهيم والحقائق الأساسية في الفضاء ب- المعياري عل غرارتلك الموجودة في المساحات المعيارية كنوع من التعميم ، على سبيل المثال ، مفاهيم التقارب ، أفضل التقريب ، التحدب المنتظم وما إلى ذلك ، ثم تم البرهنة على نتيجتين حول العلاقة بين شبه التراص والتقريب والتي استخدمت لإثبات مبرهنة حول وجود أفضل تقريب لمجموعة جزئية شبه متراصة من الفضاء ب- المعياري.
Received 14/12/2022,
Revised 21/07/2023,
Accepted 23/07/2023,
Published Online First 20/08/2023
تفاصيل المقالة
هذا العمل مرخص بموجب Creative Commons Attribution 4.0 International License.
كيفية الاقتباس
المراجع
Singh S, Watson B, Srivastava P. Fixed point theory and best approximation: The KKM-map Principle. Dordrecht, Germany: Springer; 1997. p. 232. https://www.amazon.com/Fixed-Point-Theory-Best-Approximation/dp/0792347587
Abed AN, Abed SS. Convergence and stability of iterative scheme for a monotone total asymptotically non-expansive mapping. Iraqi J Sci. 2022; 63(1): 241-250. https://ijs.uobaghdad.edu.iq/index.php/eijs/article/view/4331/2130
Radhakrishnan M, Rajesh S, Sushama A. Some fixed point theorems on non-convex sets. Appl Gen Topol. 2017; 18(2): 377-390. https://www.researchgate.net/publication/320345812_Some_fixed_point_theorems_on_non-convex_sets
Jaworowski J, Kirk WA, Park S. Antipodal points and fixed points. Lect. Notes Ser. 1995; 28: 55-97. https://www.researchgate.net/publication/266752851_Antipodal_points_and_fixed_points
Kozlowski WM. Modular Function Spaces. Series of Monographs and Textbooks in Pure and Applied Mathematics. Vol. 122. New York: Marce Dekker Inc.; 1988. p. 252. https://www.scirp.org/(S(351jmbntvnsjt1aadkposzje))/reference/referencespapers.aspx?referenceid=2125146
Harjulehto P, Hästö P. Extension in generalized Orlicz spaces. Nonlinear Stud. 2019; 26(4): 861–868. https://arxiv.org/pdf/1910.03893.pdf
Harjulehto P, Hästö P. Orlicz spaces and generalized Orlicz spaces. Lecture Notes in Mathematics. Vol. 2236. New York: Springer Cham; 2019. p. 180. http://harjulehto.fi/pdf/Book-gOrlicz.pdf
Abed SS. On invariant best approximation in modular spaces. Glob. J Pure Appl Math. 2017; 13(9): 5227-5233. https://www.ripublication.com/gjpam17/gjpamv13n9_102.pdf
Turkoglu S, Nesrin M. Fixed point theorems in a new type of modular metric spaces. J Fixed Point Theory Appl. 2018; 25: 1-9. https://fixedpointtheoryandalgorithms.springeropen.com/articles/10.1186/s13663-018-0650-3
Albundi ShS, Iterated function system in ∅-metric spaces. Bol da Soc Parana de Mat, 2022; 40: 1-10. https://periodicos.uem.br/ojs/index.php/BSocParanMat/article/view/52556/751375153614
Abdul Jabbar MF, Abed SS. Some results on normalized duality mappings and approximating fixed points in convex real moduler spaces. Baghdad Sci J. 2021; 18(4): 1218-1225. https://bsj.uobaghdad.edu.iq/index.php/BSJ/article/view/4322
Abdul Jabbar MF, Abed SS. The convergence of iteration scheme to fixed points in modular spaces. Iraqi J Sci. 2020; 60(10): 2197-2202. https://ijs.uobaghdad.edu.iq/index.php/eijs/article/view/1037
Kadhim AJ. New common fixed Points for total asymptotically nonexpansive mapping in cat0) Space. Baghdad Sci J. 2021; 18(4): 1286-1293. https://bsj.uobaghdad.edu.iq/index.php/BSJ/article/view/4639
Mohammed NJ, Abed SS. On invariant approximations in modular spaces. Ira. J Sci. 2021; 62(9): 3097-3101. https://ijs.uobaghdad.edu.iq/index.php/eijs/article/view/3525
Pathak HK, Beg I. Fixed point of multivalued contractions by altering distances with application to nonconvex Hammerstein type integral inclusions. Fixed Point Theory. 2021; 22(1): 327-342. https://www.math.ubbcluj.ro/~nodeacj/volumes/2021-No1/211-pat-beg-3051-final.php
Abed SS, Abduljabbar MF. Approximating fixed points in modular spaces. Karbala Int J Mod Sci. 2020; 6(2): 121-128. https://kijoms.uokerbala.edu.iq/cgi/viewcontent.cgi?article=1353&context=home
Abed S S, Abdul Jabber M.F, Equivalence between iterative schemes in modular spaces. J Interdiscip Math.2019; 22(.8): 1529–1535. https://www.tandfonline.com/doi/abs/10.1080/09720502.2019.1706850
Ege ME, Alaca C. Some results for modular b-Metric spaces and an application to system of linear equations. Azerb J Math. 2018; 8(1): 1-13. https://www.azjm.org/volumes/0801/0801-1.pdf
Salman BB, Abed SS, A new iterative sequence of (λ,ρ)-firmly nonexpansive multivalued mappings in modular function Spaces. Math. Mod Eng . Prob . 2022; 10 (1): 212-219. file:///C:/Users/DELL/Downloads/mmep_10.01_24%20(3).pdf