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On nonlinear integral equations in the space \({{\rm \Phi}BV (I)}\)

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Abstract

We present the existence and uniqueness of global and local \({{\rm \Phi}}\)-bounded variation (\({{\rm \Phi}BV}\)) solutions as well as continuous \({{\rm \Phi}BV}\)-solutions of nonlinear Hammerstein and Volterra–Hammerstein integral equations formulated in terms of the Lebesgue integral.

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Correspondence to J. A. Guerrero.

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Aziz, W., Guerrero, J.A. & Merentes, N. On nonlinear integral equations in the space \({{\rm \Phi}BV (I)}\) . J. Fixed Point Theory Appl. 18, 351–366 (2016). https://doi.org/10.1007/s11784-015-0280-x

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