Approximation of common fixed points in 2-Banach spaces with applications

[EN] The purpose of this paper is to establish the existence and uniqueness of common fixed points of a family of self-mappings satisfying generalized rational contractive condition in 2-Banach spaces. An example is included to justify our results. We approximate the common fixed point by Mann and Picard type iteration schemes. Further, an application to well-posedness of the common fixed point problem is given. The presented results generalize many known results on 2-Banach spaces.The authors thank the reviewers for valuable comments. The first author D. Ramesh Kumar would like to thank the University Grants Commission, New Delhi, India for providing the financial support in preparation of this manuscript.Kumar, DR.; Pitchaimani, M. (2019). Approximation of common fixed points in 2-Banach spaces with applications. Applied General Topology. 20(1):43-55. https://doi.org/10.4995/agt.2019.9168SWORD4355201M. Abbas, B. E. Rhoades and T. 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