{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,14]],"date-time":"2025-10-14T00:47:43Z","timestamp":1760402863458,"version":"build-2065373602"},"reference-count":37,"publisher":"MDPI AG","issue":"1","license":[{"start":{"date-parts":[[2020,1,16]],"date-time":"2020-01-16T00:00:00Z","timestamp":1579132800000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"DOI":"10.13039\/501100003086","name":"Basque Government","doi-asserted-by":"publisher","award":["IT1207-19"],"award-info":[{"award-number":["IT1207-19"]}],"id":[{"id":"10.13039\/501100003086","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Symmetry"],"abstract":"<jats:p>In this work, we define the concept of a w-b-cone distance in     t v s    -cone b-metric spaces which differs from generalized c-distance in cone b-metric spaces, and we discuss its properties. Our results are significant, since all of the results in fixed point theory with respect to a generalized c-distance can be introduced in the version of w-b-cone distance. Moreover, using Minkowski functionals in topological vector spaces, we prove the equivalence between some fixed point results with respect to a     w t    -distance in general b-metric spaces and a w-b-cone distance in     t v s    -cone b-metric spaces.<\/jats:p>","DOI":"10.3390\/sym12010171","type":"journal-article","created":{"date-parts":[[2020,1,17]],"date-time":"2020-01-17T04:14:41Z","timestamp":1579234481000},"page":"171","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":7,"title":["w-b-Cone Distance and Its Related Results: A Survey"],"prefix":"10.3390","volume":"12","author":[{"given":"Reza","family":"Babaei","sequence":"first","affiliation":[{"name":"Department of Mathematics, Faculty of Science, Central Tehran Branch, Islamic Azad University, Tehran 512, Iran"}]},{"given":"Hamidreza","family":"Rahimi","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Faculty of Science, Central Tehran Branch, Islamic Azad University, Tehran 512, Iran"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-9320-9433","authenticated-orcid":false,"given":"Manuel","family":"De la Sen","sequence":"additional","affiliation":[{"name":"Institute of Research and Development of Processes IIDP, University of the Basque Country, Campus of Leioa, P.O. Box 48940 Leioa (Bizkaia), Spain"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-0758-2758","authenticated-orcid":false,"given":"Ghasem Soleimani","family":"Rad","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Faculty of Science, Central Tehran Branch, Islamic Azad University, Tehran 512, Iran"}]}],"member":"1968","published-online":{"date-parts":[[2020,1,16]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"361","DOI":"10.2307\/2370790","article-title":"On semi-metric spaces","volume":"53","author":"Wilson","year":"1931","journal-title":"Am. J. Math."},{"key":"ref_2","first-page":"26","article-title":"The contraction mapping principle in quasimetric spaces","volume":"30","author":"Bakhtin","year":"1989","journal-title":"Func. Anal. Gos. Ped. Inst. 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