{"id":"https://openalex.org/W2802622985","doi":"https://doi.org/10.7939/r35717w55","title":"Amenability and fixed point properties of semi-topological semigroups of non-expansive mappings in Banach spaces","display_name":"Amenability and fixed point properties of semi-topological semigroups of non-expansive mappings in Banach spaces","publication_year":2016,"publication_date":"2016-01-01","ids":{"openalex":"https://openalex.org/W2802622985","doi":"https://doi.org/10.7939/r35717w55","mag":"2802622985"},"language":"en","primary_location":{"id":"doi:10.7939/r35717w55","doi":"https://doi.org/10.7939/r35717w55","is_oa":true,"landing_page_url":"https://doi.org/10.7939/r35717w55","pdf_url":null,"source":{"id":"https://openalex.org/S7407053046","display_name":"ERA: Education and Research Archive (University of Alberta)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I154425047","host_organization_name":"University of Alberta","host_organization_lineage":["https://openalex.org/I154425047"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Dissertation"},"volume":null,"type":"dissertation","is_traditional":true,"indexed_in":["datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://doi.org/10.7939/r35717w55","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5053168088","display_name":"Khadime Salame","orcid":"https://orcid.org/0000-0001-7047-4699","observed_orcids":["https://orcid.org/0000-0001-7047-4699"]},"institutions":[],"countries":[],"is_corresponding":true,"raw_author_name":"Salame, Khadime","raw_affiliation_strings":[],"raw_orcid":null,"affiliations":[]}],"institutions":[],"countries_distinct_count":0,"institutions_distinct_count":0,"corresponding_author_ids":["https://openalex.org/A5053168088"],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":null,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":null,"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11777","display_name":"Fixed Point Theorems Analysis","score":0.7792999744415283,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11777","display_name":"Fixed Point Theorems Analysis","score":0.7792999744415283,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11545","display_name":"Advanced Banach Space Theory","score":0.18299999833106995,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10545","display_name":"Optimization and Variational Analysis","score":0.008999999612569809,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/nonexpansive-mappings","display_name":"nonexpansive mappings","score":0.9869999885559082},{"id":"https://openalex.org/keywords/common-fixed-points","display_name":"common fixed points","score":0.7749999761581421},{"id":"https://openalex.org/keywords/amenability","display_name":"amenability","score":0.9120000004768372},{"id":"https://openalex.org/keywords/weakly-compact-convex-sets","display_name":"weakly compact convex sets","score":0.8259999752044678},{"id":"https://openalex.org/keywords/dual-banach-spaces","display_name":"dual Banach spaces","score":0.6679999828338623},{"id":"https://openalex.org/keywords/locally-compact-groups","display_name":"locally compact groups","score":0.9660000205039978},{"id":"https://openalex.org/keywords/axiom-of-choice","display_name":"axiom of choice","score":0.6480000019073486},{"id":"https://openalex.org/keywords/zorn-s-lemma","display_name":"Zorn's lemma","score":0.8550000190734863}],"concepts":[{"id":"https://openalex.org/C2780502288","wikidata":"https://www.wikidata.org/wiki/Q28838156","display_name":"Expansive","level":3,"score":0.679412841796875},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6792811155319214},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.52376788854599},{"id":"https://openalex.org/C132954091","wikidata":"https://www.wikidata.org/wiki/Q194397","display_name":"Banach space","level":2,"score":0.5074989199638367},{"id":"https://openalex.org/C61445026","wikidata":"https://www.wikidata.org/wiki/Q217608","display_name":"Fixed point","level":2,"score":0.48104003071784973},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3252919614315033},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.25802189111709595},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.10616058111190796},{"id":"https://openalex.org/C30407753","wikidata":"https://www.wikidata.org/wiki/Q186191","display_name":"Compressive strength","level":2,"score":0.0},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.7939/r35717w55","doi":"https://doi.org/10.7939/r35717w55","is_oa":true,"landing_page_url":"https://doi.org/10.7939/r35717w55","pdf_url":null,"source":{"id":"https://openalex.org/S7407053046","display_name":"ERA: Education and Research Archive (University of Alberta)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I154425047","host_organization_name":"University of Alberta","host_organization_lineage":["https://openalex.org/I154425047"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Dissertation"},{"id":"mag:2802622985","doi":null,"is_oa":false,"landing_page_url":"https://era.library.ualberta.ca/items/06129042-e4cb-43d2-a62c-e19b65f6f055/view/98d9b4ad-d396-4603-9f1e-c8ce51985c46/Salame_Khadime_201604_PhD.pdf","pdf_url":null,"source":null,"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":null}],"best_oa_location":{"id":"doi:10.7939/r35717w55","doi":"https://doi.org/10.7939/r35717w55","is_oa":true,"landing_page_url":"https://doi.org/10.7939/r35717w55","pdf_url":null,"source":{"id":"https://openalex.org/S7407053046","display_name":"ERA: Education and Research Archive (University of Alberta)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"listed_in":[],"host_organization":"https://openalex.org/I154425047","host_organization_name":"University of Alberta","host_organization_lineage":["https://openalex.org/I154425047"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"Dissertation"},"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W2963452913","https://openalex.org/W2969073555","https://openalex.org/W2784103842","https://openalex.org/W3083043487","https://openalex.org/W2091769587","https://openalex.org/W4390105674","https://openalex.org/W3202321990","https://openalex.org/W2038193147","https://openalex.org/W3194829723","https://openalex.org/W1999455952"],"abstract_inverted_index":{"In":[0],"this":[1],"thesis":[2],"we":[3,32],"are":[4,235,322,350],"interested":[5],"in":[6,25,66,163,227,312],"fixed":[7,87,107,141,175,186,268,288,304],"point":[8,77,88,108,142,176,187,269,289,305],"properties":[9,95],"of":[10,12,15,47,57,96,104,123,166,189,192,210,213,223,229,249,254,276,329,346],"representations":[11],"semi-topological":[13,98,135,250,264,300,337],"semigroups":[14,255,265,285,301],"non-expansive":[16,48,114,154],"mappings":[17,49],"on":[18,50,116,156,207],"weak":[19,274],"and":[20,220,260,316,319],"weak*":[21,151,159],"compact":[22,54,120,160,199,363],"convex":[23,55,121,161],"sets":[24],"Banach":[26,59,125,168,230],"or":[27],"dual":[28,165],"spaces.":[29,231],"More":[30],"particularly,":[31],"study":[33],"the":[34,79,102,139,164,190,208,211,221,303,344],"following":[35,140],"problems":[36],":":[37,40,92,130,144,146,182],"Problem":[38,90,128,180],"1":[39],"Let":[41],"F":[42,67,83],"be":[43],"any":[44,110,132],"commuting":[45],"family":[46],"a":[51,58,75,85,97,105,117,124,150,157,167,173,185,193,267,273,287],"non-empty":[52,118],"weakly":[53,112,119],"subset":[56,122],"space":[60,126,169],"such":[61],"that":[62,280],"for":[63,109,177,197,237,246,360],"each":[64],"f":[65],"there":[68,171,184],"is":[69,172,204,243,272,334,358],"an":[70,224],"x":[71],"whose":[72],"f-orbit":[73],"has":[74],"cluster":[76],"(in":[78],"norm":[80],"topology).":[81],"Does":[82,131],"possess":[84,138,266,302],"common":[86,106,174],"?":[89,127,179,201],"2":[91,242],"What":[93],"amenability":[94,218],"semigroup":[99,136],"do":[100],"ensure":[101],"existence":[103,191],"jointly":[111,152],"continuous":[113,153],"representation":[115,155],"3":[129],"left":[133,194,258,262,282,298],"amenable":[134,259,283,299,361],"S":[137,148,178],"property":[143,270,290,306],"(F*)":[145],"Whenever":[147],"defines":[149],"non-void":[158],"set":[162],"E,":[170],"4":[181,357],"Is":[183],"proof":[188],"Haar":[195],"measure":[196],"locally":[198,362],"groups":[200],"Our":[202],"approach":[203],"essentially":[205],"based":[206],"use":[209],"axiom":[212],"choice":[214],"through":[215],"Zorn's":[216],"lemma,":[217],"techniques":[219],"concept":[222],"asymptotic":[225],"center":[226],"geometry":[228],"Some":[232],"positive":[233,353],"answers":[234],"obtained":[236],"problem":[238,241],"1;":[239],"however,":[240],"settled":[244],"affirmatively":[245],"three":[247],"classes":[248,253],"semigroups.":[251,338],"These":[252],"together":[256],"with":[257],"all":[261],"reversible":[263],"which":[271],"version":[275],"(F*).":[277,307],"We":[278],"show":[279],"n-extremely":[281,297],"discrete":[284],"satisfy":[286],"much":[291],"more":[292],"stronger":[293],"than":[294],"(F*);":[295],"whereas,":[296],"Among":[308],"other":[309],"things,":[310],"results":[311,341],"Browder":[313],"[10],":[314],"Belluce":[315],"Kirk":[317,320],"[3,4],":[318],"[37]":[321],"generalized":[323],"to":[324,336,343,355],"non-commutative":[325],"families.":[326],"A":[327,352],"result":[328],"Hsu":[330],"[32,":[331],"theorem":[332],"4]":[333],"extended":[335],"Furthermore,":[339],"some":[340],"related":[342],"work":[345],"Lim":[347],"(cf.":[348],"[47],[49])":[349],"obtained.":[351],"answer":[354],"question":[356],"established":[359],"groups.":[364]},"counts_by_year":[],"updated_date":"2026-09-09T07:26:56.047234","created_date":"2018-05-17T00:00:00"}