Author : Neeraj Malviya
Publisher : LAP Lambert Academic Publishing
ISBN 13 : 9783659275043
Total Pages : 100 pages
Book Rating : 4.2/5 (75 download)
Book Synopsis The Extension of Some Results on Fixed Points in Abstract Spaces by : Neeraj Malviya
Download or read book The Extension of Some Results on Fixed Points in Abstract Spaces written by Neeraj Malviya and published by LAP Lambert Academic Publishing. This book was released on 2012 with total page 100 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the first chapter we introduced fixed point, fixed point theory and its applications.In chapters two and three we prove some random fixed point theorems for contractive and expansive type mappings in Hilbert space.In the chapter four we present some common fixed point theorems for rational and other inequalities involving expansive type mappings in Hilbert space.In chapter five we generalize and unify the results of Hardy and Rogers using asymptotically regular maps and sequence.In chapter six results of fixed point in an e-chainable metric space have been established and for this we have used general contractive conditions.In chapter seven we prove the chainability of points and sets is a product invariant property and finally a fixed point theorem is proved.In chapter eight we define asymptotically regular maps and sequence in cone metric spaces and the existence of fixed points for asymptotically regular maps on cone metric spaces is investigated.In chapter nine the existence of fixed point for continuous maps on dislocated metric spaces is investigated.In the last chapter we define Pseudo-2-metric spaces and Pseudo-2-metric product spaces.