{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,5,2]],"date-time":"2026-05-02T06:48:11Z","timestamp":1777704491855,"version":"3.51.4"},"reference-count":29,"publisher":"SAGE Publications","issue":"5","license":[{"start":{"date-parts":[[2020,9,28]],"date-time":"2020-09-28T00:00:00Z","timestamp":1601251200000},"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":[[2020,11,19]]},"abstract":"<jats:p>\n                    In the present article, inspired by the work of Jleli et al. [J. Inequal. Appl. 2014, 38 (2014)] and [J. Inequal. Appl. 2014, 439 (2014)] in metric spaces, we proposed a new class of contractive mappings termed as: fuzzy\n                    <jats:italic>\u0398<\/jats:italic>\n                    <jats:sub>\n                      <jats:italic>f<\/jats:italic>\n                    <\/jats:sub>\n                    -contractive mappings by using an auxiliary function\n                    <jats:italic>\u0398<\/jats:italic>\n                    <jats:sub>\n                      <jats:italic>f<\/jats:italic>\n                    <\/jats:sub>\n                    \u00a0:\u00a0(0, 1)\u00a0\u2192\u00a0(0, 1) satisfying suitable properties. This class has further been weakened by defining the class of fuzzy\n                    <jats:italic>\u0398<\/jats:italic>\n                    <jats:sub>\n                      <jats:italic>f<\/jats:italic>\n                    <\/jats:sub>\n                    -weak contractive mappings to realize yet another class of contractive mappings. Thereafter, these two newly introduced classes of contractive mappings are utilized to establish some fixed point theorems in\n                    <jats:italic>M<\/jats:italic>\n                    -complete fuzzy metric spaces (in the sense of George and Veeramani). In support of our newly obtained results, we provide some examples besides furnishing applications to dynamic programming.\n                  <\/jats:p>","DOI":"10.3233\/jifs-200319","type":"journal-article","created":{"date-parts":[[2020,9,29]],"date-time":"2020-09-29T15:51:38Z","timestamp":1601394698000},"page":"7097-7106","update-policy":"https:\/\/doi.org\/10.1177\/sage-journals-update-policy","source":"Crossref","is-referenced-by-count":10,"title":["Fuzzy\n                    <i>\u0398<\/i>\n                    <sub>\n                      <i>f<\/i>\n                    <\/sub>\n                    -contractive mappings and their fixed points with applications"],"prefix":"10.1177","volume":"39","author":[{"given":"Hayel","family":"Nasr Saleh","sequence":"first","affiliation":[{"name":"Department of Mathematics, Aligarh Muslim University, Aligarh-202002, India"},{"name":"Department of Mathematics, Taiz University, Taiz, 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