[EN] In this paper, we introduce the notions of generalized α-F-contraction and modified generalized α-F-contraction. Then, we present sufficient conditions for existence and uniqueness of fixed points for the above kind ...
Grushka, Yaroslav I.(Universitat Politècnica de València, 2019-04-01)
[EN] Let T = (T, ≤) and T1= (T1 , ≤1) be linearly ordered sets and X be a topological space. The main result of the paper is the following: If function ƒ(t,x) : T × X → T1 is continuous in each variable (“t” and “x”) ...
Sabao, Hope; Olela Otafudu, Olivier(Universitat Politècnica de València, 2019-04-01)
[EN] We introduce new infinite games, played in a quasi-uniform space, that generalise the proximal game to the framework of quasi-uniform spaces. We then introduce bi-proximal spaces, a concept that generalises proximal ...
Kumar, D. Ramesh; Pitchaimani, M.(Universitat Politècnica de València, 2019-04-01)
[EN] The purpose of this paper is to establish the existence and uniqueness of common fixed points of a family of self-mappings satisfying generalized rational contractive condition in 2-Banach spaces. An example is included ...
Buzyakova, Raushan(Universitat Politècnica de València, 2019-04-01)
[EN] We identify a class of linearly ordered topological spaces X that may satisfy the property that X × X is homeomorphic to X ×l X or can be embedded into a linearly ordered space with the stated property. We justify the ...