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Mathematical Communications, Vol. 15 No. 2, 2010.

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

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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

https://hrcak.srce.hr/61845

Publication date:

8.12.2010.

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