SOME FIXED POINT THEOREMS FOR T-KANNAN CONTRACTIONS AND WEAKLY COMPATIBLE PAIRS OF MAPPINGS IN G-CONE METRIC SPACES
ANJU PANWAR(1), RENU CHUGH(2) and SEEMA MEHRA(3)
1. Department of Mathematics, M.D. University, Rohtak 124001 (Haryana), INDIA
toor.anju@yahoo.com
anjupanwar15@gmail.com
2. Department of Mathematics, Maharshi Dayanand University, Rohtak 124001, INDIA
chughrenu@yahoo.com
3. Department of Mathematics, M.D. University, Rohtak 124001 (Haryana), INDIA
mehra.seema@yahoo.co.in
Abstract
In the framework of G-cone metric spaces introduced by I. Beg, M. Abbas and T. Nazir , Generalized cone metric spaces, J. Nonlinear Sci. Appl. 3 (1) (2010), we prove several fixed point theorems for mappings satisfying T-Kannan, respectively T-Chaterjea contractive conditions, as well as for weakly commuting pair of mappings satisfying contractive conditions. Our results extend and improve similar results that are known in cone metric spaces.