Fixed point theorems in modular G-metric spaces [PDF]
Journal of Inequalities and Applications, 2021 We prove the existence and uniqueness of fixed points of some generalized contractible operators defined on modular G-metric spaces and also prove the modular G-continuity of such operators.
Godwin Amechi Okeke +3 more
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Some fixed-point theorems for a general class of mappings in modular G-metric spaces [PDF]
Arab Journal of Mathematical Sciences, 2022 Purpose – This paper aims to prove some fixed-point theorems for a general class of mappings in modular G-metric spaces. The results of this paper generalize and extend several known results to modular G-metric spaces, including the results of Mutlu et ...
Godwin Amechi Okeke, Daniel Francis
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Fixed point theorems for Geraghty-type mappings applied to solving nonlinear Volterra-Fredholm integral equations in modular G-metric spaces [PDF]
Arab Journal of Mathematical Sciences, 2021 Purpose – The authors prove the existence and uniqueness of fixed point of mappings satisfying Geraghty-type contractions in the setting of preordered modular G-metric spaces.
Godwin Amechi Okeke, Daniel Francis
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C*-Algebra Valued Modular G-Metric Spaces with Applications in Fixed Point Theory [PDF]
Symmetry, 2021 This article introduces a new type of C*-algebra valued modular G-metric spaces that is more general than both C*-algebra valued modular metric spaces and modular G-metric spaces. Some properties are also discussed with examples. A few common fixed point results in C*-algebra valued modular G-metric spaces are discussed using the “C*-class function ...
Dipankar Das +7 more
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Common fixed point theorems in modular G-metric spaces [PDF]
Journal of Nonlinear Analysis and Application, 2013 The purpose of this paper is to prove the existence of the unique common fixed point theorems of a pair of weakly compatible mappings satisfying $\Phi$-maps in modular G-metric spaces.
B. Azadifar, M. Maramaei, Gh. Sadeghi
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Fixed point theorems for asymptotically T-regular mappings in preordered modular G-metric spaces applied to solving nonlinear integral equations [PDF]
The Journal of Analysis, 2021 Our aim in this paper is to prove some interesting fixed point theorems for the class of asymptotically $T$-regular mappings in the framework of preordered modular G-metric spaces. Our results are novel and generalizes several know results. Furthermore we apply our results in solving nonlinear integral equations.
Godwin Amechi Okeke, Daniel Francis
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Hyperbolicity of singular spaces [PDF]
, 2018 We study the hyperbolicity of singular quotients of bounded symmetric domains. We give effective criteria for such quotients to satisfy Green-Griffiths-Lang's conjectures in both analytic and algebraic settings.
Cadorel, Benoit +2 more
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QUANTUM ASPECTS OF 2+1 GRAVITY [PDF]
, 1995 We review and systematize recent attempts to canonically quantize general relativity in 2+1 dimensions, defined on space-times $\R\times\Sigma^g$, where $\Sigma^g$ is a compact Riemann surface of genus $g$.
Okai T., R. Loll
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A categorical approach to the maximum theorem [PDF]
, 2017 Berge's maximum theorem gives conditions ensuring the continuity of an optimised function as a parameter changes. In this paper we state and prove the maximum theorem in terms of the theory of monoidal topology and the theory of double categories. This
Koudenburg, Seerp Roald
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Modularity of Convergence and Strong Convergence in Infinitary Rewriting [PDF]
, 2010 Properties of Term Rewriting Systems are called modular iff they are preserved under (and reflected by) disjoint union, i.e. when combining two Term Rewriting Systems with disjoint signatures.
A. Arnold and M. Nivat +9 more
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