A fixed point theorem for (\phi, \shi)-convex contraction in metric spaces

نویسندگان

چکیده

In the present paper, we introduce notion of (\phi, \shi)-convex contraction mapping order m and establish a fixed point theorem for such mappings in complete metric spaces. The result extends generalizes well known Dutta Choudhary (Fixed Point Theory Appl. 2008 (2008), Art. ID 406368), Rhoades (Nonlinear Anal., 47(2001), 2683-2693), Istratescu (Ann. Mat. Pura Appl., 130(1982), 89-104) besides many others existing literature. An illustrative example is also provided to exhibit utility our main results.

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ژورنال

عنوان ژورنال: Advances in the theory of nonlinear analysis and its applications

سال: 2021

ISSN: ['2587-2648']

DOI: https://doi.org/10.31197/atnaa.735372