Fixed points of weakly compatible mappings satisfying a generalized common limit range property

In this paper, we produce new fixed point theorems for 2n self-mappings ℘1 ,℘ a 2 , . . . ,℘ a n, γ1 ,γ b 2 , . . . ,γ b n : X → X on a metric space (X, ρ), satisfying a generalized common limit range (CLR) property or CLR℘akγbl for k, l = 2, . . . ,n. Along with the newly introduced property CLR℘akγbl for k, l = 2, . . . ,n for the 2n self-mappings, we also assume that the pairs (℘1 ,γ b 1 ), (℘ a 2 ,γ b 2 ), . . . , (℘ a n,γn) are weakly compatible. From the main result, we produce three more corollaries as its special cases. These results generalize the work of Sarwar et al. [M. Sarwar, M. Bahadur Zada, İ. M. Erhan, Fixed Point Theory Appl., 2015 (2015), 15 pages] and many others in the available literature. Two examples are also presented for the applications of our new FPTs