Journal of the Australian Mathematical Society (Series A)

Research Article

Fixed points of asymptotically regular multivalued mappings

Ismat Bega1 and Akbar Azama2

a1 Quaid-i-Azam University Islamabad, Pakistan

a2 F. G. Post-graduate College Islamabad, Pakistan

Abstract

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.

(Received May 10 1990)

(Revised March 24 1991)

1991 Mathematics subject classification (Amer. Math. Soc)

  • 54 H 25;
  • 47 H 10

Keywords and phrases

  • metric space;
  • multivalued mapping;
  • fixed point;
  • coincidence point.