COMMON FIXED POINT THEOREMS AND PERIODIC POINT THEOREMS IN CONE METRIC SPACES FOR T-CONTRACTION TYPE MAPPINGS
SHERLY GEORGE *
Department of Mathematics, Sam Higginbottom Institute of Agriculture, Technology and Sciences, Allahabad-211007, India
SHAINI PULICKAKUNNEL
Department of Mathematics, Sam Higginbottom Institute of Agriculture, Technology and Sciences, Allahabad-211007, India
*Author to whom correspondence should be addressed.
Abstract
In this paper, we prove common xed point theorems and periodic point theorems for T- contraction type mappings in the framework of cone metric spaces. Our results in this paper extends and improves upon, among others, the corresponding results of Abbas and Rhoades [1] and Sumitra et al. [2]
Keywords: Common fixed point, periodic point, T- contraction, banach operator pair, cone metric space