{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,11]],"date-time":"2025-10-11T01:23:23Z","timestamp":1760145803606,"version":"build-2065373602"},"reference-count":24,"publisher":"MDPI AG","issue":"9","license":[{"start":{"date-parts":[[2024,9,6]],"date-time":"2024-09-06T00:00:00Z","timestamp":1725580800000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"name":"NNSF of China","award":["12171015","2023J011078","2022FZ27","2023T01"],"award-info":[{"award-number":["12171015","2023J011078","2022FZ27","2023T01"]}]},{"name":"NSF of Fujian Province, China","award":["12171015","2023J011078","2022FZ27","2023T01"],"award-info":[{"award-number":["12171015","2023J011078","2022FZ27","2023T01"]}]},{"name":"Research Project of Ningde Normal University, China","award":["12171015","2023J011078","2022FZ27","2023T01"],"award-info":[{"award-number":["12171015","2023J011078","2022FZ27","2023T01"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Axioms"],"abstract":"<jats:p>Symmetric spaces and sn-symmetric spaces, as a generalization of metric spaces, have many important properties and have been widely discussed. We consider characterizations and mapping properties of sn-symmetric spaces under ideal convergence. I-symmetric spaces and I-sn-symmetric spaces are defined and studied. These not only generalize some classical results on symmetric spaces but also provide new directions to study generalized metric spaces using the notion of ideal convergence. As an application of I-sn-symmetric spaces, some relevant properties of statistical convergence are obtained. Some unanswered questions in this field are raised.<\/jats:p>","DOI":"10.3390\/axioms13090607","type":"journal-article","created":{"date-parts":[[2024,9,6]],"date-time":"2024-09-06T11:53:11Z","timestamp":1725623591000},"page":"607","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["I-Symmetric Spaces and the \u03c0-Images of Metric Spaces"],"prefix":"10.3390","volume":"13","author":[{"given":"Fang","family":"Liu","sequence":"first","affiliation":[{"name":"Institute of Mathematics, Ningde Normal University, Ningde 352100, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Xiangeng","family":"Zhou","sequence":"additional","affiliation":[{"name":"Institute of Mathematics, Ningde Normal University, Ningde 352100, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Li","family":"Liu","sequence":"additional","affiliation":[{"name":"Institute of Mathematics, Ningde Normal University, Ningde 352100, China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Shou","family":"Lin","sequence":"additional","affiliation":[{"name":"Institute of Mathematics, Ningde Normal University, Ningde 352100, China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2024,9,6]]},"reference":[{"key":"ref_1","unstructured":"Lin, S. 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