Original scientific paper
Dotson's convexity, Banach operator pair and best simultaneous approximations
Nawab Hussain
; Department of Mathematics, King Abdulaziz University, Jeddah, Saudi Arabia
Marwan Amine Kutbi
; Department of Mathematics, King Abdulaziz Univer
Vasile Berinde
; Department of Mathematics and Computer Science, North University of Baia Mare, Baia Mare, Romania
Abstract
The existence of common fixed points is established for three
mappings where T is either generalized (f,g)-nonexpansive or
asymptotically (f,g)-nonexpansive on a set of fixed points
which is not necessarily starshaped. As applications, the
invariant best simultaneous approximation results are proved.
Keywords
Common fixed point; Banach operator pair; Dotson's convexity; asymptotically (f; g)-nonexpansive maps; best simultaneous approximation
Hrčak ID:
61845
URI
Publication date:
8.12.2010.
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