IJPAM: Volume 78, No. 6 (2012)
FOR A CLASS OF A-CONTRACTIONS ON 2-METRIC SPACE
Department of Mathematics
Maharishi Markandeshwar University
Mullana, Ambala, Haryana, INDIA
Ramandeep Kaur Department of Mathematics
Karnal Institute of Technology and Management
Karnal, Haryana, INDIA
Abstract. In this article we proved fixed point theorems for a class of contraction maps called A-contractions which include the contraction studied by many authors in the literature. We prove common fixed point theorems in 2-metric space using four self mappings satisfying weak compatibility and A-contractions.
Received: January 27, 2012
AMS Subject Classification: 54H25, 47H10
Key Words and Phrases: 2-metric space, A-contractions, common fixed point, weakly compatible
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Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395