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In this paper, we introduce the concepts of W-compatible mappings for mappings F:X×X×X→XOpen image in new window and g:X→XOpen image in new window, where (X,d)Open image in new window is an abstract metric space. We establish tripled coincidence and common tripled fixed point theorems in such spaces. The presented theorems generalize and extend several well-known comparable results in literature, in particular the results of Abbas, Ali and Radenović (Appl. Math. Comput. 217:195-202, 2010). We also provide an example to illustrate our obtained results.

Tripled fixed point of W-compatible mappings in abstract metric spaces