{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,7,30]],"date-time":"2025-07-30T14:39:44Z","timestamp":1753886384324,"version":"3.41.2"},"reference-count":34,"publisher":"Wiley","issue":"1","license":[{"start":{"date-parts":[[2012,9,13]],"date-time":"2012-09-13T00:00:00Z","timestamp":1347494400000},"content-version":"vor","delay-in-days":256,"URL":"http:\/\/creativecommons.org\/licenses\/by\/3.0\/"}],"content-domain":{"domain":["onlinelibrary.wiley.com"],"crossmark-restriction":true},"short-container-title":["Journal of Applied Mathematics"],"published-print":{"date-parts":[[2012,1]]},"abstract":"<jats:p>We introduce some new types of pairs of mappings (<jats:italic>f<\/jats:italic>, <jats:italic>g<\/jats:italic>) on <jats:italic>G<\/jats:italic>\u2010metric space called <jats:italic>G<\/jats:italic>\u2010weakly commuting of type (<jats:italic>A<\/jats:italic><jats:sub><jats:italic>f<\/jats:italic><\/jats:sub>) and <jats:italic>G<\/jats:italic>\u2010<jats:italic>R<\/jats:italic>\u2010weakly commuting of type (<jats:italic>A<\/jats:italic><jats:sub><jats:italic>f<\/jats:italic><\/jats:sub>). We obtain also several common fixed point results for these mappings under certain contractive condition in <jats:italic>G<\/jats:italic>\u2010metric space. Also some examples illustrated to support our results, and comparison between different types of pairs of mappings are studied.<\/jats:p>","DOI":"10.1155\/2012\/248937","type":"journal-article","created":{"date-parts":[[2012,9,14]],"date-time":"2012-09-14T18:02:04Z","timestamp":1347645724000},"update-policy":"https:\/\/doi.org\/10.1002\/crossmark_policy","source":"Crossref","is-referenced-by-count":6,"title":["Some New Common Fixed Point Theorems under Strict Contractive Conditions in <i>G<\/i>\u2010Metric Spaces"],"prefix":"10.1155","volume":"2012","author":[{"given":"Zead","family":"Mustafa","sequence":"first","affiliation":[]}],"member":"311","published-online":{"date-parts":[[2012,9,13]]},"reference":[{"key":"e_1_2_3_1_2","doi-asserted-by":"publisher","DOI":"10.2307\/2318216"},{"key":"e_1_2_3_2_2","first-page":"149","article-title":"On a weak commutativity condition of mappings in fixed point considerations","volume":"32","author":"Sessa S.","year":"1982","journal-title":"Institut Mathematique"},{"key":"e_1_2_3_3_2","doi-asserted-by":"publisher","DOI":"10.1155\/S0161171286000935"},{"key":"e_1_2_3_4_2","first-page":"199","article-title":"Common fixed points for noncontinuous nonself maps on nonmetric spaces","volume":"4","author":"Jungck G.","year":"1996","journal-title":"Far East Journal of Mathematical Sciences"},{"key":"e_1_2_3_5_2","doi-asserted-by":"publisher","DOI":"10.2307\/2046888"},{"key":"e_1_2_3_6_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.jmaa.2006.02.058"},{"key":"e_1_2_3_7_2","doi-asserted-by":"publisher","DOI":"10.1006\/jmaa.1994.1437"},{"key":"e_1_2_3_8_2","first-page":"37","article-title":"R-weak commutativity and common fixed points","volume":"25","author":"Pant R. 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