{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,6,15]],"date-time":"2024-06-15T15:17:25Z","timestamp":1718464645780},"reference-count":22,"publisher":"Springer Science and Business Media LLC","issue":"1","license":[{"start":{"date-parts":[[2013,11,21]],"date-time":"2013-11-21T00:00:00Z","timestamp":1384992000000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Optim Lett"],"published-print":{"date-parts":[[2015,1]]},"DOI":"10.1007\/s11590-013-0709-3","type":"journal-article","created":{"date-parts":[[2013,11,20]],"date-time":"2013-11-20T09:09:51Z","timestamp":1384938591000},"page":"105-118","source":"Crossref","is-referenced-by-count":4,"title":["Best proximity points for generalized proximal weak contractions in partially ordered metric spaces"],"prefix":"10.1007","volume":"9","author":[{"given":"V.","family":"Pragadeeswarar","sequence":"first","affiliation":[]},{"given":"M.","family":"Marudai","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2013,11,21]]},"reference":[{"key":"709_CR1","doi-asserted-by":"crossref","first-page":"1435","DOI":"10.1090\/S0002-9939-03-07220-4","volume":"132","author":"ACM Ran","year":"2004","unstructured":"Ran, A.C.M., Reurings, M.C.B.: A fixed point theorem in partially ordered sets and some applications to matrix equations. Proc. Am. Math. Soc. 132, 1435\u20131443 (2004)","journal-title":"Proc. Am. Math. Soc."},{"key":"709_CR2","doi-asserted-by":"crossref","first-page":"223","DOI":"10.1007\/s11083-005-9018-5","volume":"22","author":"JJ Nieto","year":"2005","unstructured":"Nieto, J.J., Rodr\u00edguez-L\u00f3pez, R.: Contractive mapping theorems in partially ordered sets and applications to ordinary differential equations. Order 22, 223\u2013239 (2005)","journal-title":"Order"},{"issue":"1","key":"709_CR3","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1017\/S0004972700001659","volume":"30","author":"MS Khan","year":"1984","unstructured":"Khan, M.S., Swaleh, M., Sessa, S.: Fixed point theorems by altering distances between the points. Bull. Aust. Math. Soc. 30(1), 1\u20139 (1984)","journal-title":"Bull. Aust. Math. Soc."},{"key":"709_CR4","doi-asserted-by":"crossref","first-page":"1776","DOI":"10.1016\/j.camwa.2010.07.008","volume":"60","author":"S Radenovi\u0107","year":"2010","unstructured":"Radenovi\u0107, S., Kadelburg, Z.: Generalized weak contractions in partially ordered metric spaces. Comput. Math. Appl. 60, 1776\u20131783 (2010)","journal-title":"Comput. Math. Appl."},{"key":"709_CR5","doi-asserted-by":"crossref","first-page":"234","DOI":"10.1007\/BF01110225","volume":"122","author":"Ky Fan","year":"1969","unstructured":"Fan, Ky: Extensions of two fixed point theorems of F.E. Browder. Math. Z. 122, 234\u2013240 (1969)","journal-title":"Math. Z."},{"key":"709_CR6","doi-asserted-by":"crossref","first-page":"59","DOI":"10.1186\/1687-1812-2011-59","volume":"2011","author":"M Sen De la","year":"2011","unstructured":"De la Sen, M., Agarwal, R.P.: Some fixed point-type results for a class of extended cyclic self-mappings with a more general contractive condition. Fixed Point Theory Appl. 2011, 59 (2011)","journal-title":"Fixed Point Theory Appl."},{"key":"709_CR7","first-page":"21","volume":"1","author":"PS Srinivasan","year":"2004","unstructured":"Srinivasan, P.S., Veeramani, P.: On existence of equilibrium pair for constrained generalized games. Fixed Point Theory Appl. 1, 21\u201329 (2004)","journal-title":"Fixed Point Theory Appl."},{"key":"709_CR8","unstructured":"Anthony Eldred, A., Veeramani, P.: Existence and convergence of best proximity points. J. Math. Anal. Appl 323, 1001\u20131006 (2006)"},{"key":"709_CR9","doi-asserted-by":"crossref","first-page":"3665","DOI":"10.1016\/j.na.2008.07.022","volume":"70","author":"MA Al-Thagafi","year":"2009","unstructured":"Al-Thagafi, M.A., Shahzad, N.: Convergence and existence results for best proximity points. Nonlinear Anal. 70, 3665\u20133671 (2009)","journal-title":"Nonlinear Anal."},{"key":"709_CR10","unstructured":"Sadiq Basha, S., Veeramani, P.: Best proximity pair theorems for multifunctions with open fibres. J. Approx. Theory 103, 119\u2013129 (2000)"},{"issue":"2","key":"709_CR11","doi-asserted-by":"crossref","first-page":"433","DOI":"10.1016\/j.jmaa.2005.04.053","volume":"316","author":"WK Kim","year":"2006","unstructured":"Kim, W.K., Lee, K.H.: Existence of best proximity pairs and equilibrium pairs. J. Math. Anal. Appl. 316(2), 433\u2013446 (2006)","journal-title":"J. Math. Anal. Appl."},{"key":"709_CR12","doi-asserted-by":"crossref","first-page":"851","DOI":"10.1081\/NFA-120026380","volume":"24","author":"WA Kirk","year":"2003","unstructured":"Kirk, W.A., Reich, S., Veeramani, P.: Proximinal retracts and best proximity pair theorems. Numer. Funct. Anal. Optim. 24, 851\u2013862 (2003)","journal-title":"Numer. Funct. Anal. Optim."},{"key":"709_CR13","doi-asserted-by":"crossref","unstructured":"Sankar Raj, V.: A best proximity point theorem for weakly contractive non-self-mappings. Nonlinear Anal. 74, 4804\u20134808 (2011)","DOI":"10.1016\/j.na.2011.04.052"},{"key":"709_CR14","doi-asserted-by":"crossref","unstructured":"Caballero, J., Harjani, J., Sadarangani, K.: A best proximity point theorem for Geraghty-contractions. Fixed Point Theory Appl. (2012). doi: 10.1186\/1687-1812-2012-231","DOI":"10.1186\/1687-1812-2012-231"},{"key":"709_CR15","doi-asserted-by":"crossref","first-page":"286","DOI":"10.1186\/1029-242X-2013-286","volume":"2013","author":"N Bilgili","year":"2013","unstructured":"Bilgili, N., Karapnar, E., Sadarangani, K.: A generalization for the best proximity point of Geraghty-contractions. J. Inequal. Appl. 2013, 286 (2013)","journal-title":"J. Inequal. Appl."},{"issue":"1","key":"709_CR16","doi-asserted-by":"crossref","first-page":"215","DOI":"10.1007\/s10957-012-9991-y","volume":"155","author":"C Mongkolkeha","year":"2012","unstructured":"Mongkolkeha, C., Kumam, P.: Best proximity point Theorems for generalized cyclic contractions in ordered metric spaces. J. Optim. Theory Appl. 155(1), 215\u2013226 (2012)","journal-title":"J. Optim. Theory Appl."},{"key":"709_CR17","doi-asserted-by":"crossref","unstructured":"Mongkolkeha, C., Kumam, P.: Some common best proximity points for proximity commuting mappings. Optim. Lett. (2012). doi: 10.1007\/s11590-012-0525-1","DOI":"10.1007\/s11590-012-0525-1"},{"key":"709_CR18","doi-asserted-by":"crossref","unstructured":"Sadiq Basha, S.: Discrete optimization in partially ordered sets. J. Global Optim. (2011). doi: 10.1007\/s10898-011-9774-2","DOI":"10.1007\/s10898-011-9774-2"},{"issue":"1","key":"709_CR19","doi-asserted-by":"crossref","first-page":"188","DOI":"10.1007\/s10957-011-9810-x","volume":"150","author":"A Abkar","year":"2011","unstructured":"Abkar, A., Gabeleh, M.: Best proximity points for cyclic mappings in ordered metric spaces. J. Optim. Theory Appl. 150(1), 188\u2013193 (2011)","journal-title":"J. Optim. Theory Appl."},{"key":"709_CR20","doi-asserted-by":"crossref","unstructured":"Abkar, A., Gabeleh, M.: Generalized cyclic contractions in partially ordered metric spaces. Optim. Lett. (2011). doi: 10.1007\/s11590-011-0379-y","DOI":"10.1007\/s11590-011-0379-y"},{"key":"709_CR21","doi-asserted-by":"crossref","unstructured":"Sadiq Basha, S.: Best proximity point theorems: an exploration of a common solution to approximation and optimization problems. Appl. Math. Comput. 218, 9773\u20139780 (2012)","DOI":"10.1016\/j.amc.2012.03.033"},{"key":"709_CR22","doi-asserted-by":"crossref","unstructured":"Pragadeeswarar, V., Marudai, M.: Best proximity points: approximation and optimization in partially ordered metric spaces. Optim. Lett. (2012). doi: 10.1007\/s11590-012-0529-x","DOI":"10.1007\/s11590-012-0529-x"}],"container-title":["Optimization Letters"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s11590-013-0709-3.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s11590-013-0709-3\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s11590-013-0709-3","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,8,3]],"date-time":"2019-08-03T14:17:17Z","timestamp":1564841837000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s11590-013-0709-3"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2013,11,21]]},"references-count":22,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2015,1]]}},"alternative-id":["709"],"URL":"https:\/\/doi.org\/10.1007\/s11590-013-0709-3","relation":{},"ISSN":["1862-4472","1862-4480"],"issn-type":[{"value":"1862-4472","type":"print"},{"value":"1862-4480","type":"electronic"}],"subject":[],"published":{"date-parts":[[2013,11,21]]}}}