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On Fixed Points of Asymptotically Regular Mappings

Part of: Connections with other structures, applications

Published online by Cambridge University Press:  09 April 2009

B. E. Rhoades ,
S. sessa ,
M. S. Khan  and
M. Swaleh
B. E. Rhoades
Affiliation:
Department of MathematicsIndiana UniversityBloomington, Indiana 47405, U.S.A.
S. sessa
Affiliation:
Università di AnpoliFacoltà di Architettura Istituto di Matematica Via Monteoliveto 3 80134 Napoli, Italy
M. S. Khan
Affiliation:
Department of Mathematics Faculty of ScienceKing Abdul Aziz UniversityP.O. Box 9028 21413 Jeddah, Saudi Arabia
M. Swaleh
Affiliation:
P. G. T. MathematicsMussorie Public SchoolMussorie, India
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Some results on fixed points of asymptotically regular mappings are obtained in complete metric spaces and normed linear spaces.

The structure of the set of common fixed points is also discussed in Banach spaces. Our work generalizes essentially known results of Das and Naik, Fisher, Jaggi, Jungck, Rhoades, Singh and Tiwari and several others.

Keywords

asymptotically regular sequenceasymptotically regular mappingorbitally continuous mappingweakly commuting mappingsnormed linear spaceconvex setstrictly convex Banach spaceuniformly convex Banach space.

MSC classification

Secondary: 54H25: Fixed-point and coincidence theorems
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 43 , Issue 3 , December 1987 , pp. 328 - 346
Copyright
Copyright © Australian Mathematical Society 1987

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