R-continuous functions by Ch. Konstadilaki-Savvapoulou, D. Janković

“…Several results in the literature concerning strong continuity properties are generalized and/or improved.…”
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The sharpeness of some cluster set results by D. C. Rung, S. A. Obaid

“…This is accomplished through the construction of an interpolating sequence whose limit set is closed, totally disconnected and porous. The results also generalize some of Dolzenko's cluster set theorems.…”
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A Contraction Fixed Point Theorem in Partially Ordered Metric Spaces and Application to Fractional Differential Equations by Xiangbing Zhou, Wenquan Wu, Hongjiang Ma

“…We generalize a fixed point theorem in partially ordered complete metric spaces in the study of A. …”
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On oscillation of a food-limited population model with time delay by Leonid Berezansky, Elena Braverman

“…For a scalar nonlinear delay differential equation Ṅ(t) = r(t)N(t)(K − N(h(t)))/(K + s(t)N(g(t))),r(t) ≥ 0, h(t) ≤ t, g(t) ≤ t and some generalizations of this equation, we establish explicit oscillation and nonoscillation conditions. …”
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Nearly Ring Homomorphisms and Nearly Ring Derivations on Non-Archimedean Banach Algebras by Madjid Eshaghi Gordji

“…We prove the generalized Hyers-Ulam stability of homomorphisms and derivations on non-Archimedean Banach algebras. …”
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Canonical equivariant extensions using classical Hodge theory by Christopher Allday

“…Here we obtain canonical equivariant extensions much more generally by means of classical Hodge theory.…”
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Data Dependence Results for Multistep and CR Iterative Schemes in the Class of Contractive-Like Operators by Vatan Karakaya, Faik Gürsoy, Kadri Doğan, Müzeyyen Ertürk

“…One of our results generalizes the corresponding results of Soltuz and Grosan (2008) and Chugh and Kumar (2011).…”
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Periodic Solutions of Second-Order Differential Inclusions Systems with -Laplacian by Liang Zhang, Peng Zhang

“…. , , by using nonsmooth critical point theory. Our results generalize and improve some theorems in the literature.…”
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Some Comments on Rigorous Finite-Volume Euclidean Quantum Field Path Integrals in the Analytical Regularization Scheme by Luiz C. L. Botelho

“…Through the systematic use of the Minlos theorem on the support of cylindrical measures on 𝑅∞, we produce several mathematically rigorous finite-volume euclidean path integrals in interacting euclidean quantum fields with Gaussian free measures defined by generalized powers of finite-volume Laplacian operator.…”
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A Bauer-Hausdorff Matrix Inequality by Zizong Yan, Shanhe Wu

“…Applying this process, we derive a matrix inequality, which generalizes the Bauer-Hausdorff inequality for vectors and includes the Wang-IP inequality for matrices. …”
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Multivariable dimension polynomials and new invariants of differential field extensions by Alexander B. Levin

“…We introduce a special type of reduction in the ring of differential polynomials and develop the appropriate technique of characteristic sets that allows to generalize the classical Kolchin's theorem on differential dimension polynomial and find new differential birational invariants of a finitely generated differential field extension.…”
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Some Classes of Difference Sequence Spaces of Fuzzy Real Numbers Defined by Orlicz Function by Binod Chandra Tripathy, Stuti Borgohain

“…We introduce the classes of generalized difference bounded, convergent, and null sequences of fuzzy real numbers defined by an Orlicz function. …”
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L-Fuzzy Fixed Points Theorems for L-Fuzzy Mappings via βℱL-Admissible Pair by Maliha Rashid, Akbar Azam, Nayyar Mehmood

“…We define the concept of βℱL-admissible for a pair of L-fuzzy mappings and establish the existence of common L-fuzzy fixed point theorem. Our result generalizes some useful results in the literature. We provide an example to support our result.…”
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a-minimal sets and related topics in transformation semigroups (I) by Masoud Sabbaghan, Fatemah Ayatollah Zadeh Shirazi

“…We also give some generalizations of almost periodicity and distality in the transformation semigroups and obtain similar results.…”
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Multiple quantum products in toric varieties by Holger Spielberg

“…We generalize the author's formula for Gromov-Witten invariants of symplectic toric manifolds (1999) to those needed to compute the quantum product of more than two classes directly, that is, involving the pullback of the Poincaré dual of the point class in the Deligne-Mumford spaces ℳ¯0,m.…”
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Solving Integral Equations by Common Fixed Point Theorems on Complex Partial b-Metric Spaces by Arul Joseph Gnanaprakasam, Salah Mahmoud Boulaaras, Gunaseelan Mani, Mohamed Abdalla, Asma Alharbi

“…The presented results generalize and expand some of the literature’s well-known results. …”
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Interval Oscillation Theorems for the Weighted p-Sub-Laplacian Equation in the Heisenberg Group by Duan Wu, Pengcheng Niu

“…Based on it, some oscillation criteria are established for the weighted p-sub-Laplacian equations in Hn. Our results generalize the oscillation theorems for p-sub-Laplacian equations in Rn to ones in Hn.…”
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Existence and Uniqueness of Positive Solutions to Nonlinear Second Order Impulsive Differential Equations with Concave or Convex Nonlinearities by Lingling Zhang, Chengbo Zhai

“…Using a new fixed point theorem of generalized concave operators, we present in this paper criteria which guarantee the existence and uniqueness of positive solutions to nonlinear two-point boundary value problems for second-order impulsive differential equations with concave or convex nonlinearities.…”
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The Proposed Modified Liu System with Fractional Order by Alireza K. Golmankhaneh, Roohiyeh Arefi, Dumitru Baleanu

“…We have shown that this chaotic system again will be chaotic when the order of system is less than 3. Generalized Adams-Bashforth algorithm has been used for investigating in stability of fixed points and existence of chaos.…”
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On Fuzzy Improper Integral and Its Application for Fuzzy Partial Differential Equations by ElHassan ElJaoui, Said Melliani

“…We establish some important results about improper fuzzy Riemann integrals; we prove some properties of fuzzy Laplace transforms, which we apply for solving some fuzzy linear partial differential equations of first order, under generalized Hukuhara differentiability.…”
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