{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,7]],"date-time":"2025-10-07T11:44:41Z","timestamp":1759837481388},"reference-count":24,"publisher":"Springer Science and Business Media LLC","issue":"3","license":[{"start":{"date-parts":[[2011,11,30]],"date-time":"2011-11-30T00:00:00Z","timestamp":1322611200000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Adv Comput Math"],"published-print":{"date-parts":[[2013,4]]},"DOI":"10.1007\/s10444-011-9249-5","type":"journal-article","created":{"date-parts":[[2011,11,30]],"date-time":"2011-11-30T03:26:59Z","timestamp":1322623619000},"page":"563-580","source":"Crossref","is-referenced-by-count":6,"title":["A block hybrid method for solving generalized equilibrium problems and convex feasibility problem"],"prefix":"10.1007","volume":"38","author":[{"given":"Shih-sen","family":"Chang","sequence":"first","affiliation":[]},{"given":"H. W. Joseph","family":"Lee","sequence":"additional","affiliation":[]},{"given":"Chi Kin","family":"Chan","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2011,11,30]]},"reference":[{"key":"9249_CR1","doi-asserted-by":"crossref","first-page":"155","DOI":"10.1016\/S1076-5670(08)70157-5","volume-title":"Advances in Imaging and Electron Physics, vol. 95","author":"PL Combettes","year":"1996","unstructured":"Combettes, P.L.: The convex feasibility problem in inage recovery. In: Hawkes, P. (ed.) Advances in Imaging and Electron Physics, vol. 95, pp. 155\u2013270. Academic Press, New York (1996)","edition":"95"},{"key":"9249_CR2","doi-asserted-by":"crossref","first-page":"333","DOI":"10.12775\/TMNA.1993.046","volume":"2","author":"S Kitahara","year":"1993","unstructured":"Kitahara, S., Takahashi, W.: Image recovery by convex combinations of sunny nonexpansive retractions. Topol. Methods Nonlinear Anal. 2, 333\u2013342 (1993)","journal-title":"Topol. Methods Nonlinear Anal."},{"issue":"9","key":"9249_CR3","doi-asserted-by":"crossref","first-page":"2022","DOI":"10.1016\/j.na.2005.07.036","volume":"64","author":"JG O\u2019Hara","year":"2006","unstructured":"O\u2019Hara, J.G., Pillay, P., Xu, H.K.: Iterative approaches to convex feasibility problems in Banach spaces. Nonlinear Anal. 64(9), 2022\u20132042 (2006)","journal-title":"Nonlinear Anal."},{"key":"9249_CR4","doi-asserted-by":"crossref","unstructured":"Chang, S.S., Yao, J.C., Kim, J.K., Yang, L.: Iterative approximation to convex feasibility problems in Banach space. Fixed Point Theory and Applications, Article ID 46797, 19 p. (2008)","DOI":"10.1155\/2007\/46797"},{"key":"9249_CR5","doi-asserted-by":"crossref","first-page":"257","DOI":"10.1016\/j.jat.2005.02.007","volume":"134","author":"S Matsushita","year":"2005","unstructured":"Matsushita, S., Takahashi, W.: A strong convergence theorem for relatively nonexpansive mappings in Banach spaces. J. Approx. Theory 134, 257\u2013266 (2005)","journal-title":"J. Approx. Theory"},{"key":"9249_CR6","doi-asserted-by":"crossref","first-page":"20","DOI":"10.1016\/j.cam.2008.06.011","volume":"225","author":"X Qin","year":"2009","unstructured":"Qin, X., Cho, Y.J., Kang, S.M.: Convergence theorems of common elements for equilibrium problems and fixed point problem in Banach spaces. J. Comput. Appl. Math. 225, 20\u201330 (2009)","journal-title":"J. Comput. Appl. Math."},{"key":"9249_CR7","first-page":"1111","volume":"1111","author":"HY Zhou","year":"2009","unstructured":"Zhou, H.Y., Gao, G., Tan, B.: Convergence theorems of a modified hybrid algorithm for a family of quasi-\u03d5-asymptotically nonexpansive mappings. J. Appl. Math. Comput. (2009). doi: 10.1007\/s12190-009-0263-4","journal-title":"J. Appl. Math. Comput."},{"key":"9249_CR8","doi-asserted-by":"crossref","first-page":"11","DOI":"10.1016\/j.nahs.2008.10.002","volume":"3","author":"K Wattanawitoon","year":"2009","unstructured":"Wattanawitoon, K., Kumam, P.: Strong convergence theorems by a new hybrid projection algorithm for fixed point problem and equilibrium problems of two relatively quasi-nonexpansive mappings. Nonlinear Anal., Hybrid Systems 3, 11\u201320 (2009)","journal-title":"Nonlinear Anal., Hybrid Systems"},{"issue":"2","key":"9249_CR9","first-page":"847","volume":"72","author":"HY Li","year":"2009","unstructured":"Li, H.Y., Su, Y.F.: Strong convergence theorems by a new hybrid for equilibrium problems and variational inequality problems. Nonlinear Anal. 72(2), 847\u2013855 (2010)","journal-title":"Nonlinear Anal."},{"key":"9249_CR10","doi-asserted-by":"crossref","first-page":"45","DOI":"10.1016\/j.na.2007.11.031","volume":"70","author":"W Takahashi","year":"2009","unstructured":"Takahashi, W., Zembayashi, K.: Strong and weak convergence theorems for equilibrium problems and relatively nonexpansive mappings in Banach spaces. Nonlinear Anal. 70, 45\u201357 (2009)","journal-title":"Nonlinear Anal."},{"issue":"1","key":"9249_CR11","first-page":"59","volume":"5","author":"M Kikkawa","year":"2004","unstructured":"Kikkawa, M., Takahashi, W.: Approximating fixed points of nonexpansive mappings by the block iterative method in Banach spaces. Int. J. Comput. Numer., Anal. Appl. 5(1), 59\u201366 (2004)","journal-title":"Int. J. Comput. Numer., Anal. Appl."},{"issue":"1","key":"9249_CR12","doi-asserted-by":"crossref","first-page":"427","DOI":"10.1016\/j.jmaa.2008.01.087","volume":"343","author":"A Aleyner","year":"2008","unstructured":"Aleyner, A., Reich, S.: Block-iterative algorithms for solving convex feasibilitys in Hilbert and in Banach spaces. J. Math. Anal. Appl. 343(1), 427\u2013435 (2008)","journal-title":"J. Math. Anal. Appl."},{"key":"9249_CR13","doi-asserted-by":"crossref","unstructured":"Plubtieng, S., Ungchittrakool, K.: Hybrid iterative methods for convex feasibility problems and fixed point problems of relatively nonexpansive mappings in Banach spaces. Fixed Point Theory and Applications Article ID 583082, 19 p. (2008) doi: 10.1155\/2008\/583082","DOI":"10.1155\/2008\/583082"},{"issue":"3","key":"9249_CR14","first-page":"431","volume":"8","author":"S Plubtieng","year":"2009","unstructured":"Plubtieng, S., Ungchittrakool, K.: Strong convergence theorems of block iterative methods for a fonite family of relatively nonexpansive mappings in Banach spaces. J. Nonlinear Convex Anal. 8(3), 431\u2013450 (2009)","journal-title":"J. Nonlinear Convex Anal."},{"issue":"10","key":"9249_CR15","doi-asserted-by":"crossref","first-page":"3502","DOI":"10.1016\/j.na.2008.07.007","volume":"79","author":"DR Sahu","year":"2009","unstructured":"Sahu, D.R., Xu, H.K., Yao, J.C.: Asymptotically strict pseudocontractive mappings in the intermediate sense. Nonlinear Anal. TMA 79(10), 3502\u20133511 (2009)","journal-title":"Nonlinear Anal. TMA"},{"key":"9249_CR16","doi-asserted-by":"crossref","first-page":"2260","DOI":"10.1016\/j.na.2010.06.006","volume":"73","author":"SS Chang","year":"2010","unstructured":"Chang, S.S., Joseph Lee, H.W., Chan, C.K.: A new hybrid method for solving a generalized equilibrium problem solving a variational inequality problem and obtaining common fixed points in Banach spaces with applications. Nonlinear Anal. TMA, 73, 2260\u20132270 (2010)","journal-title":"Nonlinear Anal. TMA"},{"issue":"9","key":"9249_CR17","doi-asserted-by":"crossref","first-page":"1105","DOI":"10.1007\/s10483-009-0904-6","volume":"30","author":"SS Chang","year":"2009","unstructured":"Chang, S.S.: On the generalized mixed equilibrium problem in Banach spaces. Appl. Math. Mech. 30(9), 1105\u20131112 (2009)","journal-title":"Appl. Math. Mech."},{"key":"9249_CR18","doi-asserted-by":"crossref","unstructured":"Chang, S.S., Kim, J.K., Wang, X.R.: Modified block iterative algorithm for solving convex feasibility problems in Banach spaces. J. Inequal. Appl. Article ID 869684, 14 p. (2010) doi: 10.1155\/2010\/869684","DOI":"10.1155\/2010\/869684"},{"issue":"2","key":"9249_CR19","first-page":"847","volume":"4","author":"J Kang","year":"2010","unstructured":"Kang, J., Su, Y., Zhang, X.: Hybrid algorithm for fixed points of weak relatively nonexpansive mappings and applications. Nonlinear Anal. HS, 4(2), 847\u2013855 (2010)","journal-title":"Nonlinear Anal. HS"},{"key":"9249_CR20","doi-asserted-by":"crossref","DOI":"10.1007\/978-94-009-2121-4","volume-title":"Geometry of Banach Spaces, Duality Mappings and Nonlinear Problems","author":"I Cioranescu","year":"1990","unstructured":"Cioranescu, I.: Geometry of Banach Spaces, Duality Mappings and Nonlinear Problems. Kluwer Academic Publishers, Dordrecht (1990)"},{"issue":"1\/4","key":"9249_CR21","first-page":"123","volume":"63","author":"E Blum","year":"1994","unstructured":"Blum, E., Oettli, W.: From optimization and variational inequalities to equilibrium problems. Math. Stud. 63(1\/4), 123\u2013145 (1994)","journal-title":"Math. Stud."},{"key":"9249_CR22","first-page":"15","volume-title":"Theory and Applications of Nonlinear Operators of Accretive and Monotone Type","author":"YI Alber","year":"1996","unstructured":"Alber, Y.I.: Metric and generalized projection operators in Banach spaces: properties and applications. In: Kartosator, A.G. (ed.) Theory and Applications of Nonlinear Operators of Accretive and Monotone Type, pp. 15\u201350. Marcel Dekker, New York (1996)"},{"key":"9249_CR23","doi-asserted-by":"crossref","first-page":"3890","DOI":"10.1016\/j.na.2010.08.021","volume":"73","author":"YF Su","year":"2010","unstructured":"Su, Y.F., Xu, H.K., Zhang, X.: Strong convergence theorems for two countable families of weak relatively nonexpansive mappings and applications. Nonlinear Anal. 73, 3890\u20133906 (2010)","journal-title":"Nonlinear Anal."},{"key":"9249_CR24","doi-asserted-by":"crossref","first-page":"2921","DOI":"10.1016\/j.amc.2011.08.036","volume":"218","author":"SS Chang","year":"2011","unstructured":"Chang, S.S., Joseph Lee, H.W., Chan, C.K., Yang, L.: Approximation theorems for total quasi-\u03d5-asymptotically nonexpansive mappings with applications. Applied Math. Cmput. 218, 2921\u20132931 (2011)","journal-title":"Applied Math. Cmput."}],"container-title":["Advances in Computational Mathematics"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10444-011-9249-5.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s10444-011-9249-5\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10444-011-9249-5","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,4,15]],"date-time":"2024-04-15T03:26:14Z","timestamp":1713151574000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s10444-011-9249-5"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2011,11,30]]},"references-count":24,"journal-issue":{"issue":"3","published-print":{"date-parts":[[2013,4]]}},"alternative-id":["9249"],"URL":"https:\/\/doi.org\/10.1007\/s10444-011-9249-5","relation":{},"ISSN":["1019-7168","1572-9044"],"issn-type":[{"value":"1019-7168","type":"print"},{"value":"1572-9044","type":"electronic"}],"subject":[],"published":{"date-parts":[[2011,11,30]]}}}