Fixed point of mappings of Perov type for $w$-cone distance

Marija Cvetković, Vladimir Rakočević

In this paper, we investigate fixed points of mappings of Perov type for $w$-cone distance. Many results of Ćiric, Lakzian and Rakočević, Suzuki and Takahashi, Abbas and Rhoades, Pathak and Shahzad and Raja and Veazpour are generalized. Our results could not be obtained by Du's scalarization method because, in our case, contractive constant is replaced by an operator.