{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,5,2]],"date-time":"2026-05-02T06:43:27Z","timestamp":1777704207386,"version":"3.51.4"},"reference-count":33,"publisher":"SAGE Publications","issue":"3","license":[{"start":{"date-parts":[[2020,2,5]],"date-time":"2020-02-05T00:00:00Z","timestamp":1580860800000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/journals.sagepub.com\/page\/policies\/text-and-data-mining-license"}],"content-domain":{"domain":["journals.sagepub.com"],"crossmark-restriction":true},"short-container-title":["Journal of Intelligent &amp; Fuzzy Systems"],"published-print":{"date-parts":[[2020,3,4]]},"abstract":"<jats:p>\n                    \u00a0The purpose of this article is to establish fixed point results for a pair of\n                    <jats:italic>\u03b1<\/jats:italic>\n                    <jats:sub>\u2217<\/jats:sub>\n                    -dominated fuzzy mappings fulfilling generalized locally new\n                    <jats:italic>\u03b1<\/jats:italic>\n                    <jats:sub>\u2217<\/jats:sub>\n                    -\n                    <jats:italic>\u03c8<\/jats:italic>\n                    -\u0106iri\u0107 type rational contractive conditions on a closed ball in complete dislocated metric spaces. Example and application are given to demonstrate the novelty of our results. Our results extend several comparable results in the existing literature.\n                  <\/jats:p>","DOI":"10.3233\/jifs-191020","type":"journal-article","created":{"date-parts":[[2020,2,7]],"date-time":"2020-02-07T14:53:47Z","timestamp":1581087227000},"page":"3093-3103","update-policy":"https:\/\/doi.org\/10.1177\/sage-journals-update-policy","source":"Crossref","is-referenced-by-count":11,"title":["On fixed point results for\n                    <i>\u03b1<\/i>\n                    <sub>\u2217<\/sub>\n                    -\n                    <i>\u03c8<\/i>\n                    - dominated fuzzy contractive mappings with graph"],"prefix":"10.1177","volume":"38","author":[{"given":"Aqeel","family":"Shazad","sequence":"first","affiliation":[{"name":"Department of Mathematics and Statistics,Riphah International University, Islamabad,Pakistan"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Tahair","family":"Rasham","sequence":"additional","affiliation":[{"name":"Department of Mathematics,International Islamic University, H-10, Islamabad"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Giuseppe","family":"Marino","sequence":"additional","affiliation":[{"name":"Universita della Calabria, Dipartimento di Matematica e Informatica, Arcavacata di Rende (CS),Italy"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Abdullah","family":"Shoaib","sequence":"additional","affiliation":[{"name":"Department of Mathematics and Statistics,Riphah International University, Islamabad,Pakistan"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"179","published-online":{"date-parts":[[2020,2,5]]},"reference":[{"key":"e_1_3_2_2_2","doi-asserted-by":"publisher","DOI":"10.2298\/FIL1508893A"},{"key":"e_1_3_2_3_2","doi-asserted-by":"publisher","DOI":"10.22436\/jnsa.010.07.10"},{"key":"e_1_3_2_4_2","doi-asserted-by":"publisher","DOI":"10.2298\/FIL1711041A"},{"key":"e_1_3_2_5_2","article-title":"Common Fixed Points of a Pair of Hardy Rogers Type Mappings on a Closed Ball in Ordered Dislocated Metric Spaces","volume":"2013","author":"Arshad M.","year":"2013","unstructured":"ArshadM.,ShoaibA. and VetroP.,Common Fixed Points of a Pair of Hardy Rogers Type Mappings on a Closed Ball in Ordered Dislocated Metric Spaces,Journal of Function Spaces2013 (2013), Article ID 63818.","journal-title":"Journal of Function Spaces"},{"key":"e_1_3_2_6_2","doi-asserted-by":"publisher","DOI":"10.1186\/1687-1812-2012-212"},{"key":"e_1_3_2_7_2","doi-asserted-by":"publisher","DOI":"10.22436\/jnsa.009.03.43"},{"key":"e_1_3_2_8_2","doi-asserted-by":"publisher","DOI":"10.1016\/j.na.2012.02.009"},{"key":"e_1_3_2_9_2","doi-asserted-by":"publisher","DOI":"10.1016\/0165-0114(82)90049-5"},{"key":"e_1_3_2_10_2","first-page":"267","article-title":"A Generalization of Banach\u2019s Contraction Principle","volume":"45","author":"Ciric L.B.","year":"1974","unstructured":"CiricL.B.,A Generalization of Banach\u2019s Contraction Principle,Proc Amer Math Soc45 (1974),267\u2013273.","journal-title":"Proc Amer Math Soc"},{"key":"e_1_3_2_11_2","first-page":"19","article-title":"Generalized contractions and fixed point theorems","volume":"12","author":"Ciric L.B.","year":"1971","unstructured":"CiricL.B.,Generalized contractions and fixed point theorems,Publications of the Institute of Mathematics12 (1971),19\u201326.","journal-title":"Publications of the Institute of Mathematics"},{"key":"e_1_3_2_12_2","doi-asserted-by":"publisher","DOI":"10.1016\/0022-247X(81)90141-4"},{"issue":"12","key":"e_1_3_2_13_2","first-page":"3","article-title":"Dislocated Topologies","volume":"51","author":"Hitzler P.","year":"2000","unstructured":"HitzlerP. and SedaA.K.,Dislocated Topologies,Journal of Electrical Engineering51(12\/s) (2000),3\u20137.","journal-title":"Journal of Electrical Engineering"},{"key":"e_1_3_2_14_2","doi-asserted-by":"publisher","DOI":"10.1186\/1029-242X-2014-348"},{"key":"e_1_3_2_15_2","doi-asserted-by":"crossref","unstructured":"HussainN. 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