{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2023,6,14]],"date-time":"2023-06-14T05:29:32Z","timestamp":1686720572351},"reference-count":30,"publisher":"Springer Science and Business Media LLC","issue":"1","license":[{"start":{"date-parts":[[2011,7,31]],"date-time":"2011-07-31T00:00:00Z","timestamp":1312070400000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["J Glob Optim"],"published-print":{"date-parts":[[2012,9]]},"DOI":"10.1007\/s10898-011-9755-5","type":"journal-article","created":{"date-parts":[[2011,7,30]],"date-time":"2011-07-30T11:06:22Z","timestamp":1312023982000},"page":"173-184","source":"Crossref","is-referenced-by-count":12,"title":["Strong convergence of an iterative method for pseudo-contractive and monotone mappings"],"prefix":"10.1007","volume":"54","author":[{"given":"Habtu","family":"Zegeye","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Naseer","family":"Shahzad","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2011,7,31]]},"reference":[{"key":"9755_CR1","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, 123\u2013145 (1994)","journal-title":"Math. Stud."},{"key":"9755_CR2","doi-asserted-by":"crossref","first-page":"473","DOI":"10.1007\/s11590-010-0178-x","volume":"4","author":"J.M. Borwein","year":"2010","unstructured":"Borwein J.M.: Fifty years of maximal monotonicity. Optim. Lett. 4, 473\u2013490 (2010)","journal-title":"Optim. Lett."},{"key":"9755_CR3","doi-asserted-by":"crossref","first-page":"197","DOI":"10.1016\/0022-247X(67)90085-6","volume":"20","author":"F.E. Browder","year":"1967","unstructured":"Browder F.E., Petryshyn W.V.: Construction of fixed points of nonlinear mappings in Hilbert spaces. J. Math. Anal. Appl. 20, 197\u2013228 (1967)","journal-title":"J. Math. Anal. Appl."},{"key":"9755_CR4","doi-asserted-by":"crossref","first-page":"780","DOI":"10.1090\/S0002-9904-1965-11391-X","volume":"71","author":"F.E. Browder","year":"1965","unstructured":"Browder F.E.: Nonlinear monotone operators and convex sets in Banach spaces. Bull. Am. Math. Soc. 71, 780\u2013785 (1965)","journal-title":"Bull. Am. Math. Soc."},{"key":"9755_CR5","doi-asserted-by":"crossref","first-page":"283","DOI":"10.1007\/BF01350721","volume":"177","author":"F.E. Browder","year":"1968","unstructured":"Browder F.E.: The fixed point theory of multi-valued mappings in topological vector spaces. Math. Ann. 177, 283\u2013301 (1968)","journal-title":"Math. Ann."},{"key":"9755_CR6","doi-asserted-by":"crossref","first-page":"159","DOI":"10.1016\/0022-247X(77)90152-4","volume":"61","author":"R.E. Bruck","year":"1977","unstructured":"Bruck R.E.: On the weak convergence ofan ergodic iteration for the solution of variational inequalities for monotone operators in Hilbert space. J. Math. Anal. Appl. 61, 159\u2013164 (1977)","journal-title":"J. Math. Anal. Appl."},{"key":"9755_CR7","doi-asserted-by":"crossref","first-page":"957","DOI":"10.1090\/S0002-9904-1967-11864-0","volume":"73","author":"B. Halpern","year":"1967","unstructured":"Halpern B.: Fixed points of nonexpanding maps. Bull. Am. Math. Soc. 73, 957\u2013961 (1967)","journal-title":"Bull. Am. Math. Soc."},{"key":"9755_CR8","doi-asserted-by":"crossref","first-page":"341","DOI":"10.1016\/j.na.2003.07.023","volume":"61","author":"H. Iiduka","year":"2005","unstructured":"Iiduka H., Takahashi W.: Strong convergence theorems for nonexpansive mappings and inverse-strongly monotone mappings. Nonlinear Anal. 61, 341\u2013350 (2005)","journal-title":"Nonlinear Anal."},{"key":"9755_CR9","first-page":"49","volume":"14","author":"H. Iiduka","year":"2004","unstructured":"Iiduka H., Takahashi W., Toyoda M.: Approximation of solutions of variational inequalities for monotone mappings. Pan Am. Math. J. 14, 49\u201361 (2004)","journal-title":"Pan Am. Math. J."},{"key":"9755_CR10","first-page":"1357","volume":"284","author":"P.L. Lions","year":"1977","unstructured":"Lions P.L.: Approximation de points fixes de contractions. C. R. Acad. Sci. S\u00e9r. A-B Paris 284, 1357\u20131359 (1977)","journal-title":"C. R. Acad. Sci. S\u00e9r. A-B Paris"},{"key":"9755_CR11","doi-asserted-by":"crossref","first-page":"493","DOI":"10.1002\/cpa.3160200302","volume":"20","author":"J.L. Lions","year":"1967","unstructured":"Lions J.L., Stampacchia G.: Variational inequalities. Comm. Pure Appl. Math. 20, 493\u2013517 (1967)","journal-title":"Comm. Pure Appl. Math."},{"key":"9755_CR12","doi-asserted-by":"crossref","first-page":"313","DOI":"10.1023\/A:1008643727926","volume":"6","author":"F. Liu","year":"1998","unstructured":"Liu F., Nashed M.Z.: Regularization of nonlinear ill-posed variational inequalities and convergence rates. Set-Valued Anal. 6, 313\u2013344 (1998)","journal-title":"Set-Valued Anal."},{"key":"9755_CR13","doi-asserted-by":"crossref","first-page":"46","DOI":"10.1006\/jmaa.1999.6615","volume":"241","author":"A. Moudafi","year":"2000","unstructured":"Moudafi A.: Viscosity approximation methods for fixed point problems. J. Math. Anal. Appl. 241, 46\u201355 (2000)","journal-title":"J. Math. Anal. Appl."},{"key":"9755_CR14","first-page":"99","volume":"9","author":"K. Nakajo","year":"2002","unstructured":"Nakajo K., Takahashi W.: Strong and weak convergence theorems by an improved splitting method. Comm. Appl. Nonlinear Anal. 9, 99\u2013107 (2002)","journal-title":"Comm. Appl. Nonlinear Anal."},{"key":"9755_CR15","first-page":"195","volume":"17","author":"W. Nilsrakoo","year":"2010","unstructured":"Nilsrakoo W., Saejung S.: Equilibrium problems and Moudafi\u2019s viscosity approximation methods in Hilbert spaces. Dyn. Contin. Discrete Impuls. Syst. Ser. A Math. Anal. 17, 195\u2013213 (2010)","journal-title":"Dyn. Contin. Discrete Impuls. Syst. Ser. A Math. Anal."},{"key":"9755_CR16","doi-asserted-by":"crossref","first-page":"513","DOI":"10.1007\/s11590-010-0180-3","volume":"4","author":"M.A. Noor","year":"2010","unstructured":"Noor M.A., Noor K.I., Al-Said E.: Iterative methods for solving general quasi-variational inequalities. Optim. Lett. 4, 513\u2013530 (2010)","journal-title":"Optim. Lett."},{"key":"9755_CR17","doi-asserted-by":"crossref","first-page":"1100","DOI":"10.1016\/j.na.2007.06.016","volume":"69","author":"A. Petrusel","year":"2008","unstructured":"Petrusel A., Yao J.C.: Viscosity approximation to common fixed points of families of nonexpansive mappings with generalized contractions mappings. Nonlinear Anal. 69, 1100\u20131111 (2008)","journal-title":"Nonlinear Anal."},{"key":"9755_CR18","doi-asserted-by":"crossref","first-page":"274","DOI":"10.1016\/0022-247X(79)90024-6","volume":"67","author":"S. Reich","year":"1979","unstructured":"Reich S.: Weak convergence theorems for nonexpansive mappings in Banach spaces. J. Math. Anal. Appl. 67, 274\u2013276 (1979)","journal-title":"J. Math. Anal. Appl."},{"key":"9755_CR19","doi-asserted-by":"crossref","first-page":"2709","DOI":"10.1016\/j.na.2007.08.045","volume":"69","author":"Y. Su","year":"2008","unstructured":"Su Y., Shang M., Qin X.: An iterative method of solution for equilibrium and optimization problems. Nonlinear Anal. 69, 2709\u20132719 (2008)","journal-title":"Nonlinear Anal."},{"key":"9755_CR20","doi-asserted-by":"crossref","first-page":"168","DOI":"10.2969\/jmsj\/02810168","volume":"28","author":"W. Takahashi","year":"1976","unstructured":"Takahashi W.: Nonlinear variational inequalities and fixed point theorems. J. Math. Soc. Japan 28, 168\u2013181 (1976)","journal-title":"J. Math. Soc. Japan"},{"key":"9755_CR21","doi-asserted-by":"crossref","first-page":"493","DOI":"10.1007\/BF00932892","volume":"24","author":"W. Takahashi","year":"1978","unstructured":"Takahashi W.: Nonlinear complementarity problem and systems of convex inequalities. J. Optim. Theory Appl. 24, 493\u2013508 (1978)","journal-title":"J. Optim. Theory Appl."},{"key":"9755_CR22","volume-title":"Convex Analysis and Approximation of Fixed Points","author":"W. Takahashi","year":"2000","unstructured":"Takahashi W.: Convex Analysis and Approximation of Fixed Points. Yokohama Publishers, Yokohama (2000)"},{"key":"9755_CR23","doi-asserted-by":"crossref","first-page":"417","DOI":"10.1023\/A:1025407607560","volume":"118","author":"W. Takahashi","year":"2003","unstructured":"Takahashi W., Toyoda M.: Weak convergence theorems for nonexpansive mappings and monotone mappings. J. Optim. Theory Appl. 118, 417\u2013428 (2003)","journal-title":"J. Optim. Theory Appl."},{"key":"9755_CR24","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."},{"key":"9755_CR25","doi-asserted-by":"crossref","first-page":"240","DOI":"10.1112\/S0024610702003332","volume":"66","author":"H.K. Xu","year":"2002","unstructured":"Xu H.K.: Iterative algorithms for nonlinear operators. J. London Math. Soc. 66, 240\u2013256 (2002)","journal-title":"J. London Math. Soc."},{"key":"9755_CR26","doi-asserted-by":"crossref","first-page":"1551","DOI":"10.1016\/j.amc.2006.08.062","volume":"186","author":"Y. Yao","year":"2007","unstructured":"Yao Y., Yao J.C.: On modified iterative method for nonexpansive mappings and monotone mappings. Appl. Math. Comput. 186, 1551\u20131558 (2007)","journal-title":"Appl. Math. Comput."},{"key":"9755_CR27","doi-asserted-by":"crossref","unstructured":"Zegeye, H.: An iterative approximation for a common fixed point of two pseudo-contractive mappings. ISRN Math. Anal. 2011, 14. doi: 10.5402\/2011\/621901","DOI":"10.5402\/2011\/621901"},{"issue":"11-12","key":"9755_CR28","doi-asserted-by":"crossref","first-page":"1405","DOI":"10.1080\/01630560701749730","volume":"28","author":"H. Zegeye","year":"2007","unstructured":"Zegeye H., Shahzad N.: Approximation methods for a common fixed point of finite family of nonexpansive mappings. Numer. Funct. Anal. 28(11-12), 1405\u20131419 (2007)","journal-title":"Numer. Funct. Anal."},{"key":"9755_CR29","doi-asserted-by":"crossref","first-page":"155","DOI":"10.1016\/j.amc.2007.02.072","volume":"191","author":"H. Zegeye","year":"2007","unstructured":"Zegeye H., Shahzad N.: Viscosity approximation methods for a common fixed point of finite family of nonexpansive mappings. Appl. Math. Comput. 191, 155\u2013163 (2007)","journal-title":"Appl. Math. Comput."},{"key":"9755_CR30","doi-asserted-by":"crossref","first-page":"2707","DOI":"10.1016\/j.na.2008.03.058","volume":"70","author":"H. Zegeye","year":"2009","unstructured":"Zegeye H., Shahzad N.: Strong convergence for monotone mappings and relatively weak nonexpansive mappings. Nonlinear Anal. 70, 2707\u20132716 (2009)","journal-title":"Nonlinear Anal."}],"container-title":["Journal of Global Optimization"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10898-011-9755-5.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s10898-011-9755-5\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s10898-011-9755-5","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,5,31]],"date-time":"2019-05-31T04:58:59Z","timestamp":1559278739000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s10898-011-9755-5"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2011,7,31]]},"references-count":30,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2012,9]]}},"alternative-id":["9755"],"URL":"https:\/\/doi.org\/10.1007\/s10898-011-9755-5","relation":{},"ISSN":["0925-5001","1573-2916"],"issn-type":[{"value":"0925-5001","type":"print"},{"value":"1573-2916","type":"electronic"}],"subject":[],"published":{"date-parts":[[2011,7,31]]}}}