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COMMON FIXED POINT THEOREMS FOR MULTIVALUED MAPS SATISFYING CONTACTIVE CONDITIONS OF AN INTEGRAL TYPE  

Cho, Seong-Hoon (Department of Mathematics, Hanseo University)
Bae, Jong-Sook (Department of Mathematics, Moyngji University)
Publication Information
Journal of applied mathematics & informatics / v.28, no.1_2, 2010 , pp. 397-409 More about this Journal
Abstract
We prove the existence of common fixed points for multivalued maps satisfying a contractive condition of an integral type. Our results are extent ions of results of Feng and Liu[Y. Feng, S. Liu, Fixed point theorems for multi-valued contractive mappings and multi-valued Caristi type mappings, J. Math. Anal. Appl. 317(2006), 103-112] and also, extent ions of results of Daffer and Kaneko[P. Z. Daffer, H. Kaneko, Fixed points of generalized contractive multi-valued map pings, J. Math. Anal. Appl. 192(1995), 655-666]. A main result in Feng and Liu[Y. Feng, S. Liu, Fixed point theorems for multi-valued contractive mappings and multi-valued Caristi type mappings, J. Math. Anal. Appl. 317(2006), 103-112] is proved under necessary additional conditions.
Keywords
Multivalued map; common fixed point;
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