• FIXED POINTS AND FIXED POINT PROPERTY

Naseer Ahmad Gilani*, T. A. Chishti, Riyaz Ahmad Rather

Abstract


Our main purpose in this paper is to prove the existence of fixed points and approximate eigenvalues to certain types of non-expansive mappings using the existence of - fixed points to these maps. In this manuscript we will also show that a dense subset of a Banach space has approximate fixed point property if the Banach space has the same property.


Keywords


Fixed points, ε- fixed points, approximate eigen values, star shaped sets, non-expansive mappings, Reflexive Banach space, semi-compact maps, demi-compact maps, demi-closed maps.

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