{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,12]],"date-time":"2025-10-12T03:05:33Z","timestamp":1760238333322,"version":"build-2065373602"},"reference-count":11,"publisher":"MDPI AG","issue":"8","license":[{"start":{"date-parts":[[2020,7,26]],"date-time":"2020-07-26T00:00:00Z","timestamp":1595721600000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"name":"department of architecture, university of naples federico ii","award":["1000_01"],"award-info":[{"award-number":["1000_01"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Symmetry"],"abstract":"<jats:p>In this work, we prove a common fixed point theorem of type Jungck under a generalized definition of weak commutativity and a well-known contractive inequality by commingling both conditions in the proof. Some open questions are also indicated and intimately connected (or not?) to the metric to be used.<\/jats:p>","DOI":"10.3390\/sym12081229","type":"journal-article","created":{"date-parts":[[2020,7,27]],"date-time":"2020-07-27T09:24:49Z","timestamp":1595841889000},"page":"1229","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":2,"title":["A Commingle between the Contractive Conditions of Type Jungck and a General Weak Commutativity Concept"],"prefix":"10.3390","volume":"12","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-4303-2884","authenticated-orcid":false,"given":"Salvatore","family":"Sessa","sequence":"first","affiliation":[{"name":"Dipartimento di Architettura, Universit\u00e0 degli Studi di Napoli Federico II, Via Toledo 402, 80134 Napoli, Italy"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-6281-1229","authenticated-orcid":false,"given":"Waleed M.","family":"Alfaqih","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Hajjah University, Hajjah, Yemen"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Mohammad","family":"Imdad","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Aligarh Muslim University, Aligarh 200201, India"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2020,7,26]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"261","DOI":"10.1080\/00029890.1976.11994093","article-title":"Commuting mappings and fixed points","volume":"83","author":"Jungck","year":"1976","journal-title":"Amer. Math. Mon."},{"key":"ref_2","first-page":"149","article-title":"On a weak commutativity condition of mappings in fixed point considerations","volume":"32","author":"Sessa","year":"1982","journal-title":"Publ. Inst. Math."},{"key":"ref_3","doi-asserted-by":"crossref","first-page":"977","DOI":"10.1090\/S0002-9939-1988-0947693-2","article-title":"Common fixed points for commuting and compatible maps on compacta","volume":"103","author":"Jungck","year":"1988","journal-title":"Proc. Amer. Math. Soc."},{"key":"ref_4","doi-asserted-by":"crossref","first-page":"771","DOI":"10.1155\/S0161171286000935","article-title":"Compatible mappings and common fixed points","volume":"9","author":"Jungck","year":"1986","journal-title":"Int. J. Math. Math. Sci."},{"key":"ref_5","doi-asserted-by":"crossref","first-page":"867","DOI":"10.1007\/s10114-007-5598-x","article-title":"Generalized I-nonexpansive selfmaps and invariant approximations","volume":"24","author":"Shahzad","year":"2008","journal-title":"Acta Math. Sin. Engl. Ser."},{"key":"ref_6","first-page":"55","article-title":"A note on occasionally weakly compatible maps","volume":"3","author":"Shahzad","year":"2009","journal-title":"Int. J. Math. Anal."},{"key":"ref_7","doi-asserted-by":"crossref","first-page":"054101","DOI":"10.1155\/2007\/54101","article-title":"Common fixed point theorems for hybrid pairs of occasionally weakly compatible mappings satisfying generalized contractive condition of integral type","volume":"2007","author":"Abbas","year":"2007","journal-title":"Fixed Point Theory Appl."},{"key":"ref_8","first-page":"35","article-title":"Common fixed point theorems for hybrid pairs of occasionally weakly compatible mappings defined on symmetric spaces","volume":"2008","author":"Abbas","year":"2008","journal-title":"Panam. Math. J."},{"key":"ref_9","first-page":"287","article-title":"Fixed point theorems for occasionally weakly compatible mappings","volume":"7","author":"Jungck","year":"2006","journal-title":"Fixed Point Theory"},{"key":"ref_10","doi-asserted-by":"crossref","unstructured":"Cho, Y.J. (2017). Survey on metric fixed point theory and applications. Advances in Real and Complex Analysis with Applications, Springer.","DOI":"10.1007\/978-981-10-4337-6_9"},{"key":"ref_11","doi-asserted-by":"crossref","first-page":"1113","DOI":"10.2298\/FIL1406113I","article-title":"Unifying a multitude of common fixed point theorems in symmetric spaces","volume":"28","author":"Imdad","year":"2014","journal-title":"Filomat"}],"container-title":["Symmetry"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.mdpi.com\/2073-8994\/12\/8\/1229\/pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,10,11]],"date-time":"2025-10-11T09:51:47Z","timestamp":1760176307000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.mdpi.com\/2073-8994\/12\/8\/1229"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2020,7,26]]},"references-count":11,"journal-issue":{"issue":"8","published-online":{"date-parts":[[2020,8]]}},"alternative-id":["sym12081229"],"URL":"https:\/\/doi.org\/10.3390\/sym12081229","relation":{},"ISSN":["2073-8994"],"issn-type":[{"type":"electronic","value":"2073-8994"}],"subject":[],"published":{"date-parts":[[2020,7,26]]}}}