Invariant Points and ε-Simultaneous Approximation (original) (raw)

Common Fixed Points Versus Invariant Approximation In Nonconvex Sets

2009

The aim of the present paper is to establish an existence result on common fixed point of best approximation without using the starshapedness condition of the domain. As a consequence, our result improves and extends the corresponding results of Dhage (4) and Mukherjee and Som (10).

Fixed Points, Common Fixed Points and Invariant Approximation

2012

Abstract Some new fixed point and common fixed point theorems for nonexpansive and generalized nonexpansive mapppings have been proved in the framework of metric spaces. Invaraint approximation results have been obtained for these types of mappings as applications. Our results generalize and extend several known results available in the literature.

Common fixed point and invariant approximation results

… MATHEMATICA-POLITECHNIKA WARSZAWSKA, 2006

... Miejsce zatrudnienia autora: Department of Mathematics, Faculty of Science King Abdul Aziz University, PO Box 80203, Jeddah 21589, Saudi Arabia. ... Our results unify and extend the results of Al-Thagafi, Dotson, Habiniak, Jungck and Sessa, Sahab, Khan and Sessa, Singh and ...

Coincidence Points and Invariant Approximation Results for Multimaps

Acta Mathematica Sinica, English Series, 2007

Some coincidence point theorems satisfying a general contractive condition are proved. As applications, some invariant approximation results are also obtained and several related results in the literature are either extended or improved.

A note on approximation theorems

Archivum mathematicum, 1979

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