{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,6,18]],"date-time":"2026-06-18T22:21:39Z","timestamp":1781821299239,"version":"3.54.5"},"reference-count":19,"publisher":"Hindawi Limited","license":[{"start":{"date-parts":[[2013,1,1]],"date-time":"2013-01-01T00:00:00Z","timestamp":1356998400000},"content-version":"unspecified","delay-in-days":0,"URL":"http:\/\/creativecommons.org\/licenses\/by\/3.0\/"}],"funder":[{"name":"Scientific Research Fund of Sichuan Provincial Education Department","award":["11ZA222"],"award-info":[{"award-number":["11ZA222"]}]},{"name":"Scientific Research Fund of Sichuan Provincial Education Department","award":["2012S07"],"award-info":[{"award-number":["2012S07"]}]},{"name":"Natural Science Foundation of Yibin University","award":["11ZA222"],"award-info":[{"award-number":["11ZA222"]}]},{"name":"Natural Science Foundation of Yibin University","award":["2012S07"],"award-info":[{"award-number":["2012S07"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Journal of Applied Mathematics"],"published-print":{"date-parts":[[2013]]},"abstract":"<jats:p>The purpose of this paper is to introduce the concept of<jats:italic>total asymptotically nonexpansive mappings<\/jats:italic>and to prove some<mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" id=\"M1\"><mml:mrow><mml:mo>\u0394<\/mml:mo><\/mml:mrow><\/mml:math>-convergence theorems of the iteration process for this kind of mappings in the setting of<jats:italic>hyperbolic spaces<\/jats:italic>. 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