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Fixed point results in complete metric spaces

Latif A., Albar W.

Demonstratio Mathematica

2008

Vol. 41, nr 1

145-150

Using the concept of w-distance, we prove fixed point theorems for multivalued contractive maps. Consequently, we improve and extend the corresponding fixed point results due to Feng and Liu, Nadler and many of others.

Noncommuting maps and invariant approximations

Hussain N., Latif A., Al-Mezel S.

Demonstratio Mathematica

2007

Vol. 40, nr 4

895-905

We obtain common fixed point results for generalized I-nonexpansive compatible as well as weakly compatible maps. As applications, various best approximation results for this class of maps are derived in the setup of certain metrizable topological vector spaces.

Some results on common fixed points and best approximation in p-normed spaces

Khan L., Latif A.

Demonstratio Mathematica

2001

Vol. 34, nr 4

831-836

A general common fixed point result is obtained for commuting maps in p-normed spaces. The Brosowski-Meinardus type approximation theorem in p-normed spaces via our main result is derived. These results unify and include the recent work of Jungck and Sessa [6], Khan and Khan [7], Sahab, Khan and Sessa [II], Singh [12] etc.

On multivalued f-nonexpansive maps

Latif A., Tweddle I.

Demonstratio Mathematica

1999

Vol. 32, nr 3

565-574

In this paper we prove coincidence and common fixed points results for single-valued maps f and multivalued f-nonexpansive maps with star-shaped weakly compact domains in Banach spaces, which extend the theorems of [3], [6], [8] and others. Moreover weak convergence and strong convergence results for coincidence point sets have also been proved, extending'a result in [1].