Journal
JOURNAL OF FUNCTION SPACES
Volume 2021, Issue -, Pages -Publisher
HINDAWI LTD
DOI: 10.1155/2021/5527864
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This paper proves some common fixed point theorems for mappings involving generalized rational-type fuzzy cone-contraction conditions in fuzzy cone metric spaces and provides illustrative examples to support the work. Moreover, as an application, the existence of a common solution of the Fredholm integral equations is ensured.
This paper is aimed at proving some common fixed point theorems for mappings involving generalized rational-type fuzzy cone-contraction conditions in fuzzy cone metric spaces. Some illustrative examples are presented to support our work. Moreover, as an application, we ensure the existence of a common solution of the Fredholm integral equations: mu(tau) = integral(iota)(0) Gamma(tau, v, mu(v))dv and nu(tau) = integral(tau)(0)(tau, v, v(v)dv, for all mu is an element of U, v is an element of [0, eta], and 0 < eta is an element of R, where U = Co([0, eta], R) is the space of all R-valued continuous functions on the interval [0, eta] and Gamma : [0, eta] x [0, eta] x R -> R.
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