{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,2,21]],"date-time":"2025-02-21T10:42:24Z","timestamp":1740134544496,"version":"3.37.3"},"reference-count":19,"publisher":"Wiley","license":[{"start":{"date-parts":[[2020,5,6]],"date-time":"2020-05-06T00:00:00Z","timestamp":1588723200000},"content-version":"unspecified","delay-in-days":0,"URL":"http:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"name":"Science Achievement Scholarship of Thailand","award":["R2563C002"],"award-info":[{"award-number":["R2563C002"]}]},{"DOI":"10.13039\/501100004944","name":"Naresuan University","doi-asserted-by":"publisher","award":["R2563C002"],"award-info":[{"award-number":["R2563C002"]}],"id":[{"id":"10.13039\/501100004944","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["International Journal of Mathematics and Mathematical Sciences"],"published-print":{"date-parts":[[2020,5,6]]},"abstract":"In this paper, we propose the generalized M-iteration process for approximating the fixed points from Banach spaces to hyperbolic spaces. Using our new iteration process, we prove \u0394<\/mml:mi><\/mml:math>-convergence and strong convergence theorems for the class of mappings satisfying the condition C<\/mml:mi><\/mml:mrow>\u03bb<\/mml:mi><\/mml:mrow><\/mml:msub><\/mml:mrow><\/mml:mfenced><\/mml:mrow><\/mml:math> and the condition E<\/mml:mi><\/mml:mrow><\/mml:mfenced><\/mml:mrow><\/mml:math> which is the generalization of Suzuki generalized nonexpansive mappings in the setting of hyperbolic spaces. Moreover, a numerical example is given to present the capability of our iteration process and the solution of the integral equation is also illustrated using our main result.<\/jats:p>","DOI":"10.1155\/2020\/6435043","type":"journal-article","created":{"date-parts":[[2020,5,6]],"date-time":"2020-05-06T23:33:57Z","timestamp":1588808037000},"page":"1-8","source":"Crossref","is-referenced-by-count":3,"title":["Fixed-Point Approximations of Generalized Nonexpansive Mappings via Generalized M-Iteration Process in Hyperbolic Spaces"],"prefix":"10.1155","volume":"2020","author":[{"given":"Preeyalak","family":"Chuadchawna","sequence":"first","affiliation":[{"name":"Department of Mathematics, Faculty of Science, Naresuan University, Phitsanulok 65000, Thailand"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Ali","family":"Farajzadeh","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Razi University, Kermanshah 67149, Iran"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-2713-6787","authenticated-orcid":true,"given":"Anchalee","family":"Kaewcharoen","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Faculty of Science, Naresuan University, Phitsanulok 65000, Thailand"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"311","reference":[{"key":"1","doi-asserted-by":"publisher","DOI":"10.1016\/j.jmaa.2007.09.023"},{"key":"2","doi-asserted-by":"publisher","DOI":"10.1016\/j.jmaa.2010.08.069"},{"key":"3","doi-asserted-by":"publisher","DOI":"10.1090\/s0002-9939-1953-0054846-3"},{"key":"4","first-page":"61","volume":"8","year":"2007","journal-title":"Nonlinear Convex A"},{"year":"2014","key":"5"},{"key":"6","doi-asserted-by":"publisher","DOI":"10.2298\/fil1801187u"},{"key":"7","doi-asserted-by":"publisher","DOI":"10.1090\/s0002-9947-04-03515-9"},{"key":"8","doi-asserted-by":"publisher","DOI":"10.1016\/0362-546x(90)90058-o"},{"year":"1999","key":"9"},{"key":"10","doi-asserted-by":"publisher","DOI":"10.1016\/j.jmaa.2006.01.081"},{"key":"11","doi-asserted-by":"publisher","DOI":"10.1090\/s0002-9939-1973-0313897-4"},{"issue":"1","key":"12","first-page":"91","volume":"24","year":"2018","journal-title":"Journal of Computational Analysis and Applications"},{"key":"13","first-page":"35","volume":"8","year":"2007","journal-title":"Nonlinear Convex A"},{"key":"14","doi-asserted-by":"publisher","DOI":"10.1090\/s0002-9939-1974-0346608-8"},{"key":"15","doi-asserted-by":"publisher","DOI":"10.1016\/j.camwa.2008.05.036"},{"volume-title":"Nonexpansive iteration in uniformly convex W-hyperbolic spaces","year":"2010","key":"16"},{"key":"17","doi-asserted-by":"publisher","DOI":"10.1186\/1687-1812-2012-54"},{"key":"18","doi-asserted-by":"publisher","DOI":"10.1007\/s40096-016-0187-8"},{"key":"19","doi-asserted-by":"publisher","DOI":"10.1186\/s13660-015-0549-z"}],"container-title":["International Journal of Mathematics and Mathematical Sciences"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/downloads.hindawi.com\/journals\/ijmms\/2020\/6435043.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/journals\/ijmms\/2020\/6435043.xml","content-type":"application\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/downloads.hindawi.com\/journals\/ijmms\/2020\/6435043.pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,5,6]],"date-time":"2020-05-06T23:34:05Z","timestamp":1588808045000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.hindawi.com\/journals\/ijmms\/2020\/6435043\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2020,5,6]]},"references-count":19,"alternative-id":["6435043","6435043"],"URL":"https:\/\/doi.org\/10.1155\/2020\/6435043","relation":{},"ISSN":["0161-1712","1687-0425"],"issn-type":[{"type":"print","value":"0161-1712"},{"type":"electronic","value":"1687-0425"}],"subject":[],"published":{"date-parts":[[2020,5,6]]}}}