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Fixed points in vector lattices for generalized contractions.

Author(s)
Ismat Beg Mathematics Department, Quaid-e- Azam University, Islamabad, Pakistan
Faryad Ali Mathematics Department, Lawrence College, Murree, Pakistan
Abstract
It is shown that a discontinuous contractive mapping T on a a-complete vector lattice must be (0)-continuous at a fixed point. The same is true for pair of maps. There are a number of theorems of the form, if the sequence {Xn} of Mann iterates of a certain type (0)-converges to a point p, then p is a fixed point of the map T. Further, if (0)-lim Xn = p, then p is a fixed point of T if and only if T is (0)-continuous at p.
Publication Details
Page(s) 63-74
DOI DOI not available
Published Journal: Punjab University Journal of Mathematics, Volume: 24, Issue: , Year: 1993

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