J Austral Math Soc Ser A 55 pp369--385, 1993.

Coincidence and Common Fixed Points of Hybrid Contractions

M. S. Khan, Y. J. Cho, W. T. Park and T. Mumtaz

(Received 10 January 1991)

Abstract

In this paper, we show the existence of solutions of functional equations f_ix Î Sx ÇTx and x = f_ix Î Sx ÇTx under certain nonlinear hybrid contraction and asymptotic regularity conditions, generalize and improve a recent result due to Kaneko concerning common fixed points of multivalued mappings weakly commuting with a single-valued mapping and satisfying a generalized contraction type. Some related results are also obtained.

1991 AMS Subject Classification: 54H25

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Authors

M. S. Khan: Sultan Qaboos University, Department of Mathematics and Computing College of Science, P.O. Box 32486, Al-Khod, Muscat, Sultanate of Oman.
Y. J. Cho: Gyeongsang National University, Jinju 660-701, Korea.
W. T. Park: Gyeongsang National University, Jinju 660-701, Korea.
T. Mumtaz: Aligarh Muslim University, Aligarh 202002, India.

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