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Role of noncompatible and discontinuous mappings to prove coincidence and common fixed point theorems in various spaces
(Maltepe Üniversitesi, 2009) Deshpande, Bhavana
In this talk, we will discuss single valued and hybrid pair of noncompatible mappings. As applications of noncompatible mappings we will discuss some coincidence and fixed point theorems in metric spaces, fuzzy metric spaces, Menger spaces and intuitionistic fuzzy metric spaces etc. We will point out that continuity of any mapping is not necessary for the existence of common fixed point for noncompatible mappings. We will give some examples to validate our results. We will discuss some recent results and applications.