{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,3,27]],"date-time":"2025-03-27T22:35:36Z","timestamp":1743114936754,"version":"3.40.3"},"publisher-location":"Cham","reference-count":29,"publisher":"Springer International Publishing","isbn-type":[{"type":"print","value":"9783319731490"},{"type":"electronic","value":"9783319731506"}],"license":[{"start":{"date-parts":[[2017,12,20]],"date-time":"2017-12-20T00:00:00Z","timestamp":1513728000000},"content-version":"unspecified","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2018]]},"DOI":"10.1007\/978-3-319-73150-6_27","type":"book-chapter","created":{"date-parts":[[2017,12,18]],"date-time":"2017-12-18T22:42:58Z","timestamp":1513636978000},"page":"341-352","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":1,"title":["Best Proximity Point Theorems for Generalized $$\\alpha $$ \u03b1 - $$\\psi $$ \u03c8 -Proximal Contractions"],"prefix":"10.1007","author":[{"given":"Muhammad Usman","family":"Ali","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Arslan Hojat","family":"Ansari","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Konrawut","family":"Khammahawong","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Poom","family":"Kumam","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2017,12,20]]},"reference":[{"key":"27_CR1","doi-asserted-by":"publisher","first-page":"977","DOI":"10.1016\/j.bulsci.2013.02.003","volume":"137","author":"M Jleli","year":"2013","unstructured":"Jleli, M., Samet, B.: Best proximity point for $$ \\alpha $$ \u03b1 - $$\\psi $$ \u03c8 -proximal contraction type mappings and applications. Bull. Sci. Math. 137, 977\u2013995 (2013)","journal-title":"Bull. Sci. Math."},{"key":"27_CR2","doi-asserted-by":"crossref","unstructured":"Jleli, M., Karapinar, E., Samet, B.: Best proximity points for generalized $$\\alpha $$ \u03b1 - $$\\psi $$ \u03c8 -proximal contractive type mappings. J. Appl. Math. 2013, 10 pages (2013). Article ID 534127","DOI":"10.1155\/2013\/534127"},{"key":"27_CR3","doi-asserted-by":"crossref","unstructured":"Ali, M.U., Kamran, T., Shahzad, N.: Best proximity point for $$\\alpha $$ \u03b1 - $$\\psi $$ \u03c8 -proximal contractive multimaps. Abstr. Appl. Anal. 2014, 6 pages (2014). Article ID 181598","DOI":"10.1155\/2014\/181598"},{"key":"27_CR4","doi-asserted-by":"crossref","first-page":"293","DOI":"10.15388\/NA.2016.3.1","volume":"21","author":"BS Choudhurya","year":"2016","unstructured":"Choudhurya, B.S., Maitya, P., Metiya, N.: Best proximity point results in set-valued analysis. Nonlinear Anal. Modell. Contr. 21, 293\u2013305 (2016)","journal-title":"Nonlinear Anal. Modell. Contr."},{"issue":"3","key":"27_CR5","doi-asserted-by":"publisher","first-page":"1209","DOI":"10.1016\/j.na.2008.02.004","volume":"70","author":"MA AlThagafi","year":"2009","unstructured":"AlThagafi, M.A., Shahzad, N.: Best proximity pairs and equilibrium pairs for Kakutani multimaps. Nonlinear Anal. 70(3), 1209\u20131216 (2009)","journal-title":"Nonlinear Anal."},{"key":"27_CR6","doi-asserted-by":"publisher","first-page":"3665","DOI":"10.1016\/j.na.2008.07.022","volume":"70","author":"MA AlThagafi","year":"2009","unstructured":"AlThagafi, M.A., Shahzad, N.: Convergence and existence results for best proximity points. Nonlinear Anal. 70, 3665\u20133671 (2009)","journal-title":"Nonlinear Anal."},{"key":"27_CR7","doi-asserted-by":"publisher","first-page":"3790","DOI":"10.1016\/j.na.2007.10.014","volume":"69","author":"CD Bari","year":"2008","unstructured":"Bari, C.D., Suzuki, T., Vetro, C.: Best proximity point for cyclic Meir-Keeler contraction. Nonlinear Anal. 69, 3790\u20133794 (2008)","journal-title":"Nonlinear Anal."},{"key":"27_CR8","doi-asserted-by":"publisher","first-page":"1001","DOI":"10.1016\/j.jmaa.2005.10.081","volume":"323","author":"A Eldred","year":"2006","unstructured":"Eldred, A., Veeramani, P.: Existence and convergence of best proximity points. J. Math. Anal. Appl. 323, 1001\u20131006 (2006)","journal-title":"J. Math. Anal. Appl."},{"key":"27_CR9","doi-asserted-by":"crossref","unstructured":"Zhang, J., Su, Y., Cheng, Q.: A note on A best proximity point theorem for Gerathy-contractions. Fixed Point Theory Appl. 2013, 4 pages (2013). Article ID 83","DOI":"10.1186\/1687-1812-2013-83"},{"key":"27_CR10","doi-asserted-by":"publisher","first-page":"7261","DOI":"10.1016\/j.na.2011.07.043","volume":"74","author":"A Abkar","year":"2011","unstructured":"Abkar, A., Gbeleh, M.: Best proximity points for asymptotic cyclic contraction mappings. Nonlinear Anal. 74, 7261\u20137268 (2011)","journal-title":"Nonlinear Anal."},{"key":"27_CR11","doi-asserted-by":"publisher","first-page":"418","DOI":"10.1007\/s10957-011-9818-2","volume":"151","author":"A Abkar","year":"2011","unstructured":"Abkar, A., Gbeleh, M.: Best proximity points for cyclic mappings in ordered metric spaces. J. Optim. Theory Appl. 151, 418\u2013424 (2011)","journal-title":"J. Optim. Theory Appl."},{"issue":"2","key":"27_CR12","doi-asserted-by":"publisher","first-page":"319","DOI":"10.1007\/s13398-012-0074-6","volume":"107","author":"A Abkar","year":"2012","unstructured":"Abkar, A., Gbeleh, M.: The existence of best proximity points for multivalued non-self mappings. RACSAM 107(2), 319\u2013325 (2012)","journal-title":"RACSAM"},{"key":"27_CR13","doi-asserted-by":"crossref","unstructured":"Alghamdi, M.A., Alghamdi, M.A., Shahzad, N.: Best proximity point results in geodesic metric spaces. Fixed Point Theory Appl. 2012, 12 pages (2012). Article ID 234","DOI":"10.1186\/1687-1812-2012-234"},{"key":"27_CR14","doi-asserted-by":"crossref","unstructured":"Al-Thagafi, M.A., Shahzad, N.: Best proximity sets and equilibrium pairs for a finite family of multimaps. Fixed Point Theory Appl. 2008, 10 pages (2008). Article ID 457069","DOI":"10.1155\/2008\/457069"},{"key":"27_CR15","first-page":"193","volume":"37","author":"M Derafshpour","year":"2011","unstructured":"Derafshpour, M., Rezapour, S., Shahzad, N.: Best proximity points of cyclic $$\\varphi $$ \u03c6 -contractions in ordered metric spaces. Topol. Meth. Nonlin. Anal. 37, 193\u2013202 (2011)","journal-title":"Topol. Meth. Nonlin. Anal."},{"key":"27_CR16","doi-asserted-by":"publisher","first-page":"3790","DOI":"10.1016\/j.na.2007.10.014","volume":"69","author":"CD Bari","year":"2008","unstructured":"Bari, C.D., Suzuki, T., Vetro, C.: Best proximity point for cyclic Meir-Keeler contraction. Nonlinear Anal. 69, 3790\u20133794 (2008)","journal-title":"Nonlinear Anal."},{"key":"27_CR17","doi-asserted-by":"crossref","unstructured":"Markin, J., Shahzad, N.: Best proximity points for relatively $$u$$ u -continuous mappings in Banach and hyperconvex spaces. Abstr. Appl. Anal. 2013, 5 pages (2013). Article ID 680186","DOI":"10.1155\/2013\/680186"},{"key":"27_CR18","doi-asserted-by":"crossref","unstructured":"Rezapour, S., Derafshpour, M., Shahzad, N.: Best proximity points of cyclic $$\\phi $$ \u03d5 -contractions on reflexive Banach spaces. Fixed Point Theory Appl. 2010, 7 pages (2010). Article ID 946178","DOI":"10.1155\/2010\/946178"},{"key":"27_CR19","doi-asserted-by":"crossref","unstructured":"Basha, S.S., Shahzad, N., Jeyaraj, R.: Best proximity point theorems for reckoning optimal approximate solutions. Fixed Point Theory Appl. 2012, 9 pages (2012). Article ID 202","DOI":"10.1186\/1687-1812-2012-202"},{"issue":"7","key":"27_CR20","doi-asserted-by":"publisher","first-page":"2283","DOI":"10.1016\/j.na.2010.06.008","volume":"73","author":"C Vetro","year":"2010","unstructured":"Vetro, C.: Best proximity points: convergence and existence theorems for p-cyclic mappings. Nonlin. Anal. 73(7), 2283\u20132291 (2010)","journal-title":"Nonlin. Anal."},{"key":"27_CR21","doi-asserted-by":"publisher","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, 215\u2013226 (2012)","journal-title":"J. Optim. Theory Appl."},{"key":"27_CR22","doi-asserted-by":"crossref","unstructured":"Sintunavarat, W., Kumam, P.: Coupled best proximity point theorem in metric spaces. Fixed Point Theory Appl. 2012, 16 pages (2012). Article ID 93","DOI":"10.1186\/1687-1812-2012-93"},{"key":"27_CR23","doi-asserted-by":"crossref","unstructured":"Nashine, H.K., Vetro, C., Kumam, P.: Best proximity point theorems for rational proximal contractions. Fixed Point Theory Appl. 2013, 11 pages (2013). Article ID 95","DOI":"10.1186\/1687-1812-2013-95"},{"key":"27_CR24","first-page":"1197","volume":"4","author":"YJ Cho","year":"2013","unstructured":"Cho, Y.J., Gupta, A., Karapinar, E., Kumam, P., Sintunavarat, W.: Tripled best proximity point theorem in metric space. Math. Inequal. Appl. 4, 1197\u20131216 (2013)","journal-title":"Math. Inequal. Appl."},{"key":"27_CR25","doi-asserted-by":"crossref","unstructured":"Mongkolkeha, C., Kongban, C., Kumam, P.: The existence and uniqueness of best proximity point theorems for generalized almost contraction. Abstr. Appl. Anal. 2014 (2014). Article ID 813614, 11 pages","DOI":"10.1155\/2014\/813614"},{"key":"27_CR26","doi-asserted-by":"crossref","unstructured":"Kumam, P., Salimi, P., Vetro, C.: Best proximity point results for modified $$\\alpha $$ \u03b1 -proximal $$C$$ C -contraction mappings. Fixed Point Theory Appl. 2014, 16 pages (2014). Article ID 99","DOI":"10.1186\/1687-1812-2014-99"},{"key":"27_CR27","doi-asserted-by":"crossref","unstructured":"Pragadeeswarar, V., Marudai, M., Kumam, P., Sitthithakerngkiet, K.: The existence and uniqueness of coupled best proximity point for proximally coupled contraction in a complete ordered metric space. Abstr. Appl. Anal. 2014, 7 pages (2014). Article ID 274062","DOI":"10.1155\/2014\/274062"},{"key":"27_CR28","first-page":"37","volume":"9","author":"AH Ansari","year":"2016","unstructured":"Ansari, A.H., Shukla, S.: Some fixed point theorems for ordered $$F$$ F - $$(\\cal{F}, h)$$ ( F , h ) -contraction and subcontractions in $$0$$ 0 - $$f$$ f -orbitally complete partial metric spaces. J. Adv. Math. Stud. 9, 37\u201353 (2016)","journal-title":"J. Adv. Math. Stud."},{"key":"27_CR29","unstructured":"Ali, M.U., Kamran, T.: On $$(\\alpha ^{\\ast },\\psi )$$ ( \u03b1 * , \u03c8 ) -contractive multi-valued mappings. Fixed Point Theory Appl. 2013, 7 pages (2013). Article ID 137"}],"container-title":["Studies in Computational Intelligence","Econometrics for Financial Applications"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/978-3-319-73150-6_27","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,10,8]],"date-time":"2019-10-08T02:34:57Z","timestamp":1570502097000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/978-3-319-73150-6_27"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2017,12,20]]},"ISBN":["9783319731490","9783319731506"],"references-count":29,"URL":"https:\/\/doi.org\/10.1007\/978-3-319-73150-6_27","relation":{},"ISSN":["1860-949X","1860-9503"],"issn-type":[{"type":"print","value":"1860-949X"},{"type":"electronic","value":"1860-9503"}],"subject":[],"published":{"date-parts":[[2017,12,20]]},"assertion":[{"value":"20 December 2017","order":1,"name":"first_online","label":"First Online","group":{"name":"ChapterHistory","label":"Chapter History"}},{"value":"ECONVN","order":1,"name":"conference_acronym","label":"Conference Acronym","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"International Econometric Conference of Vietnam","order":2,"name":"conference_name","label":"Conference Name","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"Ho Chi Minh","order":3,"name":"conference_city","label":"Conference City","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"Vietnam","order":4,"name":"conference_country","label":"Conference Country","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"2018","order":5,"name":"conference_year","label":"Conference Year","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"15 January 2018","order":7,"name":"conference_start_date","label":"Conference Start Date","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"16 January 2018","order":8,"name":"conference_end_date","label":"Conference End Date","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"econvn2018","order":10,"name":"conference_id","label":"Conference ID","group":{"name":"ConferenceInfo","label":"Conference Information"}},{"value":"http:\/\/hcm-hn.conference-econ-buh-bav-rist.vn\/","order":11,"name":"conference_url","label":"Conference URL","group":{"name":"ConferenceInfo","label":"Conference Information"}}]}}