Abstract
In this manuscript, the existence and uniqueness of common fixed points of a family of self-mappings under more generalized rational contractive conditions in 2-Banach spaces are obtained with an illustrative example. Then the common fixed points are approximated by means of Krasnoselskii, Mann and Picard type iteration schemes. Later, an application to well-posedness of the common fixed point problem is provided. The obtained results generalize and improve many well-known results in the literature.
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