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New Fixed Point Theorems in Orthogonal F -Metric Spaces with Application to Fractional Differential Equation
(MDPI, 2020-05-19)
We present the notion of orthogonal F
-metric spaces and prove some fixed and periodic point theorems for orthogonal ⊥Ω
-contraction. We give a nontrivial example to prove the validity of our result. Finally, as ...
On Best Approximations for Set-Valued Mappings in G-convex Spaces
(MDPI, 2020-03-04)
In this paper we obtain a best approximations theorem for multi-valued mappings in G -convex spaces. As applications, we derive results on the best approximations in hyperconvex and normed spaces. The obtain results ...