Some fixed points for J-type multi-valued maps in CAT(0) spaces

Subject Areas : Applied Mathematics

S. Jalal Hosseini Ghoncheh ¹ , H. Salahi fard ²

1 - Department of Mathematics, Takestan Branch, Islamic Azad University, Takestan, Iran.
2 - Department of Mathematics and Computer Science, Amirkabir University of Technology, Tehran, Iran.

Received: 2012-02-18 Accepted : 2012-09-19 Published : 2014-05-01

Keywords: Ishikawa iteration scheme, CAT(0) spaces, J-type mapping,

Abstract :

In this paper, we prove the existence of fixed point for J-type multi-valuedmap T in CAT(0) spaces and also we prove the strong convergence theoremsfor Ishikawa iteration scheme without using the xed point of involving map.

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