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NONLINEAR GENERALIZED CONTRACTIONS ON MENGER PM SPACESKeywords: Probabilistic metric spaces , Fixed point , Nonlinear generalized contractive type conditions , $Phi$-functions Abstract: This paper presents a fixed point theorem for a self-mapping defined on probabilistic Menger spaces satisfying nonlinear generalized contractive type conditions. The theorem is an improvement of a result presented by B.S. Choudhury, K. Das: A new contraction principle in Menger spaces, Acta Math. Sin. (Engl. Ser.), 24 (2008), 1379–1386. This is illustrated with an example.
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