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Fixed points of asymptotically regular multivalued mappings

Part of: Connections with other structures, applications Nonlinear operators and their properties

Published online by Cambridge University Press:  09 April 2009

Ismat Beg  and
Akbar Azam
Ismat Beg
Affiliation:
Quaid-i-Azam UniversityIslamabad, Pakistan
Akbar Azam
Affiliation:
F. G. Post-graduate CollegeIslamabad, Pakistan
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Abstract

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Some results on fixed point of asymptotically regular multivalued mapping are obtained in metric spaces. The structure of common fixed points and coincidence points of a pair of compatible multivalued mappings is also discussed. Our work generalizes known results of Aubin and Siegel, Dube, Dube and Singh, Hardy and Rogers, Hu, Iseki, Jungck, Kaneko, Nadler, Ray and Shiau, Tan and Wong.

Keywords

metric spacemultivalued mappingfixed pointcoincidence point.

MSC classification

Secondary: 54H25: Fixed-point and coincidence theorems 47H10: Fixed-point theorems
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 53 , Issue 3 , December 1992 , pp. 313 - 326
Copyright
Copyright © Australian Mathematical Society 1992

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