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Applied General Topology - Vol 24, No 1 (2023): Recent submissions

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    Common fixed point results for a generalized ( ψ, φ )-rational contraction 
    Arya, Mahesh Chandra; Chandra, N.; Joshi, Mahesh C. (Universitat Politècnica de València, 2023-04-05)
    [EN] In this paper, we obtain two common fixed point results for mappings satisfying the generalized (ψ,φ)-contractive type conditions given by a rational expression on a complete metric space. Our results generalize ...
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    Τ-quasi-Cauchy spaces - a non-symmetric theory of completeness and completion 
    Jäger, Gunther (Universitat Politècnica de València, 2023-04-05)
    [EN] Based on the concept of Cauchy pair Τ-filters, we develop an axiomatic theory of completeness for non-symmetric spaces, such as Τ-quasi-uniform (limit) spaces or L-metric spaces. We show that the category of Τ-quasi-Cauchy ...
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    New results regarding the lattice of uniform topologies on C(X) 
    Pichardo-Mendoza, Roberto; Ríos-Herrejón, Alejandro (Universitat Politècnica de València, 2023-04-05)
    [EN] For a Tychonoff space X, the lattice UX  was introduced in L. A. Pérez-Morales, G. Delgadillo-Piñón, and R. Pichardo-Mendoza, The lattice of uniform topologies on C(X), Questions and Answers in General Topology  39 ...
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    Interpolative contractions and discontinuity at fixed point 
    Taş, Nihal (Universitat Politècnica de València, 2023-04-05)
    [EN] In this paper, we investigate new solutions to the Rhoades’ discontinuity problem on the existence of a self-mapping which has a fixed point but is not continuous at the fixed point on metric spaces. To do this, we ...
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    Some network-type properties of the space of G-permutation degree 
    Kočinac, Ljubisa D.R; Mukhamadiev, F. G.; Sadullaev, A. K.; Meyliev, Sh. U. (Universitat Politècnica de València, 2023-04-05)
    [EN] In this paper the network-type properties (network, cs−network, cs∗−network, cn−network and ck−network) of the space SPn GX of Gpermutation degree of X are studied. It is proved that: (1) If X is a T1-space that has ...