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In this paper, we introduce the concept of common limit in the range property 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, and establish tripled coincidence point and common tripled fixed point theorems by using the common limit in the range property. Our theorems generalize and extend several well-known comparable results in the literature, in particular the results of Aydi et al. (Fixed Point Theory Appl. 2012:134, 2012). Also, we give examples to validate our main results which are not applied by the results in the literature.

journal of inequalities and applications

Common tripled fixed point theorems for W-compatible mappings along with the "Equation missing"  property in abstract metric spaces

Common tripled fixed point theorems for W-compatible mappings along with the "Equation missing" property in abstract metric spaces