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The purpose of this paper is to study the existence and approximation of a common fixed point of a pair of mappings satisfying a relaxed (ψ,φ)-weakly N-contractive condition and existence and approximation of a fixed point of a relaxed (ψ,φ)-weakly N-contraction mapping in the setting of modular spaces. Our theorems improve and generalize the results in Mongkolkeha and Kumam [23] and Öztürk et. al [26]. To validate our results numerical examples are provided.

Fixed points of relaxed (Ψ,φ)-weakly N-contraction mappings in modular spaces