Abstract
In this paper, first introduce and define an intuitionistic Menger inner product space, and then, obtain a new fixed point theorem in a complete intuitionistic Menger inner product space. As an application, the results are used to study the existence and uniqueness of the solution to a linear Volterra integral equation.
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Contributed by Shi-sheng ZHANG
Project supported by the Natural Science Foundation of Yibin University (No. 2009Z01)
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Zhang, Ss., Goudarzi, M., Saadati, R. et al. Intuitionistic Menger inner product spaces and applications to integral equations. Appl. Math. Mech.-Engl. Ed. 31, 415–424 (2010). https://doi.org/10.1007/s10483-010-0402-z
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DOI: https://doi.org/10.1007/s10483-010-0402-z