Paper Information

Title: 

FIXED POINT THEOREMS IN CONE METRIC SPACES

Type: SPEECH
Author(s): MASIHA H.P.,SABET GHADAM F.*,SANATPOUR A.H.
 
 *DEPARTMENT OF MATHEMATICS, K.N. TOOSI UNIVERSITY OF TECHNOLOGY
 
Name of Seminar: SEMINAR ON MATHEMATICAL ANALYSIS AND ITS APPLICATIONS (SMAA18)
Type of Seminar:  CONFERENCE
Sponsor:  FACULTY OF MATHEMATICAL SCIENCES AND COMPUTER, TARBIAT MOALLEM UNIVERSITY
Date:  2009Volume 18
 
 
Abstract: 

Huang and Zhang generalized the concept of a metric space by considering vector-valued metrics with values in an ordered real Banach space. They obtained some fixed point theorems for mappings satisfying different contractive conditions. In this paper we prove some fixed point theorems in cone metric spaces, including results which generalize those from Huang and Zhang’s work.

 
Keyword(s): CONE METRIC SPACE, ORDERED BANACH SPACE, FIXED POINT, CONTRACTIVE MAPPING
 
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