A Note on tvs-G-Cone Metric Fixed Point Theory

Abstract

For a tvs-G-cone metric space $(X,G)$ and for the family $𝒜$ of subsets of X, we introduce a new notion of the tvs-ℋ -cone metric ℋ with respect to G, and we get a fixed result for the $𝒞ℬ𝒲$ -tvs-G-cone-type function in a complete tvs-G-cone metric space $(𝒜,\mathscr{H})$. Our results generalize some recent results in the literature.