Coincidence and invariant approximation theorems for generalized
<mml:math id="E1" xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:mi>f</mml:mi></mml:math>-nonexpansive multivalued mappings

Khan, A. R.; Akbar, F.; Sultana, N.; Hussain, N.

doi:https://doi.org/10.1155/IJMMS/2006/17637

International Journal of Mathematics and Mathematical Sciences

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Volume 2006 | Article ID 017637 | https://doi.org/10.1155/IJMMS/2006/17637

Coincidence and invariant approximation theorems for generalized f-nonexpansive multivalued mappings

A. R. Khan,¹F. Akbar,²N. Sultana,²and N. Hussain³

Received22 Jul 2005

Revised30 Jan 2006

Accepted28 Feb 2006

Published02 Aug 2006

Abstract

The main purpose of this paper is to prove some new coincidence and common fixed point theorems for noncommuting generalized f-nonexpansive multivalued mappings on non-starshaped domain in the framework of a Banach space. As applications, related common fixed point, invariant approximation, and random coincidence point results are established. This work provides extension as well as substantial improvement of several results in the existing literature.

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Copyright © 2006 Hindawi Publishing Corporation. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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