Yıl 2018, Cilt 6, Sayı 1, Sayfalar 178 - 187 2018-04-15
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## Strong Convergence of an explicit iteration method in uniformly convex Banach spaces

#### Ahmed A. Abdelhakim [1] , R. A. Rashwan [2]

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We obtain the necessary and sufficient conditions for the convergence of an explicit iterative procedure to a common fixed point of a finite family of non-self asymptotically quasi-nonexpansive type mappings in real Banach spaces. We also prove the strong convergence of this iterative method to a common fixed point of a finite family of non-self asymptotically quasi-nonexpansive in the intermediate sense mappings in uniformly convex Banach spaces. Our results mainly generalize and extend those obtained by Wang [L. Wang, Explicit iteration method for common fixed points of a finite family of nonself asymptotically nonexpansive mappings, Computers \& Mathematics with applications, 53, (2007), 1012 - 1019.]

common fixed point, iterative approximation, asymptotically quasi-nonexpansive in the intermediate sense, uniformly convex Banach spaces
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Birincil Dil en Mühendislik Articles Yazar: Ahmed A. Abdelhakim (Sorumlu Yazar)Ülke: Egypt Yazar: R. A. RashwanÜlke: Egypt
 Bibtex @araştırma makalesi { konuralpjournalmath418739, journal = {Konuralp Journal of Mathematics}, issn = {}, eissn = {2147-625X}, address = {Mehmet Zeki SARIKAYA}, year = {2018}, volume = {6}, pages = {178 - 187}, doi = {}, title = {Strong Convergence of an explicit iteration method in uniformly convex Banach spaces}, key = {cite}, author = {A. Rashwan, R. and A. Abdelhakim, Ahmed} } APA A. Abdelhakim, A , A. Rashwan, R . (2018). Strong Convergence of an explicit iteration method in uniformly convex Banach spaces. Konuralp Journal of Mathematics, 6 (1), 178-187. Retrieved from http://dergipark.gov.tr/konuralpjournalmath/issue/31478/418739 MLA A. Abdelhakim, A , A. Rashwan, R . "Strong Convergence of an explicit iteration method in uniformly convex Banach spaces". Konuralp Journal of Mathematics 6 (2018): 178-187 Chicago A. Abdelhakim, A , A. Rashwan, R . "Strong Convergence of an explicit iteration method in uniformly convex Banach spaces". Konuralp Journal of Mathematics 6 (2018): 178-187 RIS TY - JOUR T1 - Strong Convergence of an explicit iteration method in uniformly convex Banach spaces AU - Ahmed A. Abdelhakim , R. A. Rashwan Y1 - 2018 PY - 2018 N1 - DO - T2 - Konuralp Journal of Mathematics JF - Journal JO - JOR SP - 178 EP - 187 VL - 6 IS - 1 SN - -2147-625X M3 - UR - Y2 - 2018 ER - EndNote %0 Konuralp Journal of Mathematics Strong Convergence of an explicit iteration method in uniformly convex Banach spaces %A Ahmed A. Abdelhakim , R. A. Rashwan %T Strong Convergence of an explicit iteration method in uniformly convex Banach spaces %D 2018 %J Konuralp Journal of Mathematics %P -2147-625X %V 6 %N 1 %R %U ISNAD A. Abdelhakim, Ahmed , A. Rashwan, R. . "Strong Convergence of an explicit iteration method in uniformly convex Banach spaces". Konuralp Journal of Mathematics 6 / 1 (Nisan 2018): 178-187.