COMMON FIXED POINTS AND INVARIANT APPROXIMATION FOR BANACH OPERATOR PAIRS WITH CIRIC TYPE NONEXPANSIVE MAPPINGS

Some common fixed point theorems for Banach operator pairs with Ciric type nonexpansive mappings, and the existence of common fixed points of best approximation have been proved in the framework of convex metric spaces. The results proved in the paper generalize and extend some of the results of N. Hussain (Common fixed points in best approximation for Banach operator pairs with Ciric type I-contractions, J. Math. Anal. Appl. 338, 1351–1363, 2008) from the Banach space framework into the framework of convex metric spaces.