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Fixed Point Theorems for PPF Mappings Satisfying Inwardness Conditions

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Fixed Point Theorems for PPF Mappings Satisfying Inwardness Conditions

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dc.contributor.author Bernfeld, Stephen R. en
dc.contributor.author Reddy, Y. M. en
dc.contributor.author Lakshmikantham, V. en
dc.date.accessioned 2010-06-02T20:35:04Z en
dc.date.available 2010-06-02T20:35:04Z en
dc.date.issued 1980-07 en
dc.identifier.uri http://hdl.handle.net/10106/2247 en
dc.description.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.iso en_US en
dc.publisher University of Texas at Arlington en
dc.relation.ispartofseries Technical Report;135 en
dc.subject Fixed point theorems en
dc.subject Banach spaces en
dc.subject PPF operators en
dc.subject.lcsh Differential equations en
dc.subject.lcsh Mathematics Research en
dc.title Fixed Point Theorems for PPF Mappings Satisfying Inwardness Conditions en
dc.type Technical Report en
dc.publisher.department Department of Mathematics en

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