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dc.contributor.authorBernfeld, Stephen R.en
dc.contributor.authorReddy, Y. M.en
dc.contributor.authorLakshmikantham, V.en
dc.date.accessioned2010-06-02T20:35:04Zen
dc.date.available2010-06-02T20:35:04Zen
dc.date.issued1980-07en
dc.identifier.urihttp://hdl.handle.net/10106/2247en
dc.description.abstract**Please note that the full text is embargoed** ABSTRACT: In this paper we continue our recent development [1] of the theory of fixed point theorems of nonlinear operators whose domain and range are different Banach spaces. In particular we consider the analogues of recent results of Caristi and Kirk [5,6,8] where "inwardness conditions" are used to obtain fixed points. More precisely "inwardness conditions" on a mapping T whose domain K is a proper subspace of its range have been imposed to ensure that T maps points x of K "towards" K. Caristi and Kirk, for example, have considered two different conditions, metrically inward and weakly inward (this is the tangential boundary condition used in studying, for example, differential equations on closed sets [9]). These conditions are much weaker than the simple inwardness condition that T map the boundary of K into K.en
dc.language.isoen_USen
dc.publisherUniversity of Texas at Arlingtonen
dc.relation.ispartofseriesTechnical Report;135en
dc.subjectFixed point theoremsen
dc.subjectBanach spacesen
dc.subjectPPF operatorsen
dc.subject.lcshDifferential equationsen
dc.subject.lcshMathematics Researchen
dc.titleFixed Point Theorems for PPF Mappings Satisfying Inwardness Conditionsen
dc.typeTechnical Reporten
dc.publisher.departmentDepartment of Mathematicsen


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