Kimura, Yasunori; Sasaki, Kazuya; Torii, Kakeru Convergence theorems of implicit type iterations in geodesic spaces with negative curvature. (English) Zbl 07907915 Electron. J. Differ. Equ. 2024, Conf. 27, 13-26 (2024). MSC: 47H09 × Cite Format Result Cite Review PDF Full Text: DOI
Limprayoon, Jiraporn Theorems of the minimization problem and fixed point problem of total asymptotically nonexpansive mappings in CAT(0) spaces. (English) Zbl 07876122 J. Nonlinear Anal. Optim. 14, No. 1, 21-31 (2023). MSC: 47H09 47J25 × Cite Format Result Cite Review PDF Full Text: Link OA License
Chang, Shih-sen; Zhao, Liangcai; Liu, Min; Tang, Jinfang Convergence theorems for total asymptotically nonexpansive mappings in \(\mathrm{CAT} (\kappa)\) spaces. (English) Zbl 1541.54030 Fixed Point Theory Algorithms Sci. Eng. 2023, Paper No. 2, 14 p. (2023). MSC: 54H25 54E40 × Cite Format Result Cite Review PDF Full Text: DOI OA License
Kimura, Yasunori; Shindo, Keisuke Asymptotic behavior of resolvents of equilibrium problems on complete geodesic spaces. (English) Zbl 1515.52006 Demonstr. Math. 56, Article ID 20220187, 14 p. (2023). Reviewer: Igor G. Nikolaev (Urbana) MSC: 52A41 53C45 × Cite Format Result Cite Review PDF Full Text: DOI OA License
Choi, Byoung Jin \(\Delta\)-convergence of convex combinations of two maps on \(p\)-uniformly convex metric spaces. (English) Zbl 07606922 Fixed Point Theory 23, No. 1, 199-210 (2022). MSC: 54H25 41A65 54E40 × Cite Format Result Cite Review PDF Full Text: Link
Kimura, Yasunori; Sudo, Shuta Uniform convexity and convergence of a sequence of sets in a complete geodesic space. (English) Zbl 1506.46056 Abstr. Appl. Anal. 2022, Article ID 9534978, 11 p. (2022). MSC: 46N10 54A20 54E50 × Cite Format Result Cite Review PDF Full Text: DOI OA License
Tufa, Abebe Regassa; Zegeye, Habtu Approximating common fixed points of a family of non-self mappings in CAT(0) spaces. (English) Zbl 07447190 Bol. Soc. Mat. Mex., III. Ser. 28, No. 1, Paper No. 3, 15 p. (2022). MSC: 47H09 47H10 47J25 × Cite Format Result Cite Review PDF Full Text: DOI
Kimura, Yasunori; Sasaki, Kazuya A Halpern type iterative scheme for a finite number of mappings in complete geodesic spaces with curvature bounded above. (English) Zbl 07483521 Numer. Funct. Anal. Optim. 42, No. 14, Part 2, 1683-1699 (2021). MSC: 47H09 × Cite Format Result Cite Review PDF Full Text: DOI OA License
Pakkaranang, Nuttapol; Kumam, Poom; Wen, Ching-Feng; Yao, Jen-Chih; Cho, Yeol Je On modified proximal point algorithms for solving minimization problems and fixed point problems in \(\mathrm{CAT}(\kappa)\) spaces. (English) Zbl 1495.47109 Math. Methods Appl. Sci. 44, No. 17, 12369-12382 (2021). MSC: 47J25 47H09 54H25 47H05 × Cite Format Result Cite Review PDF Full Text: DOI
Bargetz, Christian; Dymond, Michael; Medjic, Emir; Reich, Simeon On the existence of fixed points for typical nonexpansive mappings on spaces with positive curvature. (English) Zbl 1491.47041 Topol. Methods Nonlinear Anal. 57, No. 2, 621-634 (2021). MSC: 47H09 54E52 54E40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Choi, Byoung Jin \(\Delta\)-convergences of weighted averaged projections in \(\mathrm{CAT}(\kappa)\) spaces. (English) Zbl 07356497 J. Aust. Math. Soc. 110, No. 3, 289-301 (2021). MSC: 47J25 47A46 53C23 × Cite Format Result Cite Review PDF Full Text: DOI
Kimura, Yasunori Explicit and implicit iterative schemes with balanced mappings in Hadamard spaces. (English) Zbl 1495.47121 Thai J. Math. 18, No. 1, 425-434 (2020). MSC: 47J26 47H09 54H25 × Cite Format Result Cite Review PDF Full Text: Link
Choi, Byoung Jin; Ji, Un Cig; Lim, Yongdo Convex feasibility problems on uniformly convex metric spaces. (English) Zbl 07136207 Optim. Methods Softw. 35, No. 1, 21-36 (2020). MSC: 47-XX 65-XX 90-XX × Cite Format Result Cite Review PDF Full Text: DOI
Thounthong, Phatiphat; Pakkaranang, Nuttapol; Saipara, Phachara; Phairatchatniyom, Pawicha; Kumam, Poom Convergence analysis of modified iterative approaches in geodesic spaces with curvature bounded above. (English) Zbl 1432.54084 Math. Methods Appl. Sci. 42, No. 17, 5929-5943 (2019). MSC: 54H25 65K10 × Cite Format Result Cite Review PDF Full Text: DOI
Sharma, Anupam On the convergence of a new proximal point algorithm of generalized nonexpansive mappings in \(\mathrm{CAT}(0)\) spaces. (English) Zbl 1514.47108 Appl. Math. E-Notes 19, 689-707 (2019). MSC: 47J26 47H09 54H25 × Cite Format Result Cite Review PDF Full Text: Link
Sharma, Anupam Approximating fixed points of nearly asymptotically nonexpansive mappings in \(\mathrm{CAT}(k)\) spaces. (English) Zbl 1413.47134 Arab J. Math. Sci. 24, No. 2, 166-181 (2018). MSC: 47J25 47H09 54H25 × Cite Format Result Cite Review PDF Full Text: DOI OA License
Choi, Byoung Jin Convergence of Mann’s alternating projections in \(\mathrm{CAT}(\kappa)\) spaces. (English) Zbl 06901136 Bull. Aust. Math. Soc. 98, No. 1, 134-143 (2018). MSC: 47J25 47A46 53C23 × Cite Format Result Cite Review PDF Full Text: DOI
Choi, Byoung Jin; Ji, Un Cig; Lim, Yongdo Convergences of alternating projections in \(\mathrm{CAT}(\kappa)\) spaces. (English) Zbl 1390.90572 Constr. Approx. 47, No. 3, 391-405 (2018). MSC: 90C48 54H25 53C23 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Sharma, Anupam; Bahuguna, Dhirendra; Imdad, Mohammad Approximating fixed points of generalized nonexpansive mappings in \(\mathrm{CAT}(k)\) spaces via modified \(S\)-iteration process. (English) Zbl 06823714 J. Anal. 25, No. 2, 187-202 (2017). MSC: 47H09 47H10 × Cite Format Result Cite Review PDF Full Text: DOI
Nanjaras, Bancha Fixed point theorems for fundamentally nonexpansive mappings in CAT\((k)\) spaces. (English) Zbl 1413.54146 J. Nonlinear Anal. Optim. 7, No. 1, 75-84 (2016). MSC: 54H25 47H09 × Cite Format Result Cite Review PDF Full Text: Link
Suparatulatorn, Raweerote; Cholamjiak, Prasit The modified S-iteration process for nonexpansive mappings in \(\mathrm{CAT}(\kappa)\) spaces. (English) Zbl 1510.47111 Fixed Point Theory Appl. 2016, Paper No. 25, 12 p. (2016). MSC: 47J26 47H09 54H25 54E50 × Cite Format Result Cite Review PDF Full Text: DOI OA License
Panyanak, Bancha On an open problem of Kyung Soo Kim. (English) Zbl 1477.47073 Fixed Point Theory Appl. 2015, Paper No. 186, 12 p. (2015). MSC: 47J25 47H09 54H25 49J53 × Cite Format Result Cite Review PDF Full Text: DOI OA License
Kimura, Yasunori; Wada, Hideyuki Halpern type iteration with multiple anchor points in a Hadamard space. (English) Zbl 1338.47098 J. Inequal. Appl. 2015, Paper No. 182, 11 p. (2015). MSC: 47J25 47H09 54H25 × Cite Format Result Cite Review PDF Full Text: DOI OA License
Saluja, Gurucharan S.; Postolache, Mihai; Kurdi, Alia Convergence of three-step iterations for nearly asymptotically nonexpansive mappings in \(\operatorname{CAT}(k)\) spaces. (English) Zbl 1336.54053 J. Inequal. Appl. 2015, Paper No. 156, 18 p. (2015). MSC: 54H25 54E40 × Cite Format Result Cite Review PDF Full Text: DOI OA License
Nanjaras, Bancha; Panyanak, Bancha Generalized hybrid mappings on CAT(\(\kappa\)) spaces. (English) Zbl 1375.54020 J. Inequal. Appl. 2014, Paper No. 403, 12 p. (2014). MSC: 54H25 47H10 × Cite Format Result Cite Review PDF Full Text: DOI
Panyanak, Bancha On the Ishikawa iteration processes for multivalued mappings in some \(\mathrm{CAT}(\kappa)\) spaces. (English) Zbl 1477.47090 Fixed Point Theory Appl. 2014, Paper No. 1, 9 p. (2014). MSC: 47J26 47H09 54C60 54H25 × Cite Format Result Cite Review PDF Full Text: DOI OA License
Kimura, Yasunori; Saejung, Satit; Yotkaew, Pongsakorn The Mann algorithm in a complete geodesic space with curvature bounded above. (English) Zbl 1319.47054 Fixed Point Theory Appl. 2013, Paper No. 336, 13 p. (2013). MSC: 47J25 47H09 54H25 × Cite Format Result Cite Review PDF Full Text: DOI OA License
Chang, Shih-Sen; Wang, Lin; Lee, Heung Joseph; Chan, Chi-Kin Strong and \(\delta\)-convergence for mixed type total asymptotically nonexpansive mappings in CAT(0) spaces. (English) Zbl 1425.47021 Fixed Point Theory Appl. 2013, Paper No. 122, 16 p. (2013). MSC: 47J25 47H09 54H25 × Cite Format Result Cite Review PDF Full Text: DOI OA License
Kimura, Yasunori; Satô, Kenzi Halpern iteration for strongly quasinonexpansive mappings on a geodesic space with curvature bounded above by one. (English) Zbl 1423.47042 Fixed Point Theory Appl. 2013, Paper No. 7, 14 p. (2013). MSC: 47J25 47H09 54H25 × Cite Format Result Cite Review PDF Full Text: DOI OA License