{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,7,30]],"date-time":"2025-07-30T13:54:43Z","timestamp":1753883683432,"version":"3.41.2"},"reference-count":25,"publisher":"Wiley","issue":"1","license":[{"start":{"date-parts":[[2012,8,5]],"date-time":"2012-08-05T00:00:00Z","timestamp":1344124800000},"content-version":"vor","delay-in-days":217,"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>For a <jats:italic>tvs-G<\/jats:italic>\u2010cone metric space (<jats:italic>X<\/jats:italic>, <jats:italic>G<\/jats:italic>) and for the family\n<jats:italic>\ud835\udc9c<\/jats:italic> of subsets of <jats:italic>X<\/jats:italic>, we introduce a new notion of the <jats:italic>tvs-\u210b<\/jats:italic>\u2010cone metric\n<jats:italic>\u210b<\/jats:italic> with respect to <jats:italic>G<\/jats:italic>, and we get a fixed result for the <jats:italic>\ud835\udc9e<\/jats:italic><jats:italic>\u212c<\/jats:italic><jats:italic>\ud835\udcb2<\/jats:italic><jats:italic>-tvs-G<\/jats:italic>\u2010cone\u2010type function in a complete <jats:italic>tvs-G<\/jats:italic>\u2010cone metric space (<jats:italic>\ud835\udc9c<\/jats:italic>, <jats:italic>\u210b<\/jats:italic>). 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