A Note ontvs-G-Cone Metric Fixed Point Theory

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

A note on tvs-cone metric fixed point theory

In this paper, the concept of set-valued contraction of Nadler type in the setting of tvscone spaceswas introduced and a fixed point theorem in the setting of tvs-cone spaceswith respect to a solid conewas proved. Obtained results extend and generalize themain results of [S.B. Nadler Jr., Multi-valued contraction mappings, Pacific Journal of Mathematics 30 (1969) 475–488] and [D. Wardowski, On ...

Common fixed point results in G−cone metric spaces

In common fixed point results for two maps defined on a G−cone metric space, satisfying generalized contractive conditions are obtained. These results generalize, improve and unify several well known comparable results in the literature.

A note on the equivalence of some metric and cone metric fixed point results

In the presentwork, usingMinkowski functionals in topological vector spaces, we establish the equivalence between some fixed point results in metric and in (topological vector space) cone metric spaces. Thus, a lot of results in the cone metric setting can be directly obtained from their metric counterparts. In particular, a common fixed point theorem for f -quasicontractions is obtained. Our a...

New fixed and periodic point results on cone metric spaces

In this paper, several fixed point theorems for T-contraction of two maps on cone metric spaces under normality condition are proved. Obtained results extend and generalize well-known comparable results in the literature.