Affiliations: Department of Mathematics, COMSATS Institute of Information Technology, Chack Shahzad, Islamabad, Pakistan | Department of Mathematics, International Islamic University, Islamabad, Pakistan
Note: [] Corresponding author. Akbar Azam, Department of Mathematics, COMSATS Institute of Information Technology, Chack Shahzad, Islamabad 44000, Pakistan. E-mails: [email protected] (A. Azam); [email protected] (M. Rashid).
Abstract: We present a coincidence theorem for a pair of fuzzy mappings satisfying a Jungck type contractive condition which generalizes Heilpern's fuzzy contraction theorem. Moreover, we deduce coincidence points of a pair of multivalued mappings which is an improvement/generalization of Nadler's fixed point theorem and several of its successive generalizations. As applications, we obtain an existence theorem of solution for a class of nonlinear integral equations by utilizing completeness property of function space (C [a,b], $\mathbb{R}$).
Keywords: Analysis, coincidence point, fuzzy mapping, integral equation
