Results 1 to 10 of about 12,911 (154)
Fixed Point Results on Partial Modular Metric Space [PDF]
Axioms, 2022 In the present paper, we refine the notion of the partial modular metric defined by Hosseinzadeh and Parvaneh to eliminate the occurrence of discrepancies in the non-zero self-distance and triangular inequality. In support of this, we discuss non-trivial
Dipankar Das +4 more
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Interpolative Meir–Keeler Mappings in Modular Metric Spaces
Mathematics, 2022 Modular metric space is one of the most interesting spaces in the framework of the metric fixed point theory. The main goal of the paper is to provide some certain fixed point results in the context of modular metric spaces and non-Archimedean modular ...
Erdal Karapınar +2 more
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Probabilistic modular metric spaces [PDF]
Journal of Hyperstructures, 2020 The purpose of this study is to investigate the connection between probabilistic and modular metric spaces. We discussseveral important properties such as convergence and completeness,etc, and the relationship among the mentioned properties in the ...
Kianoush Fathi Vajargah +1 more
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Fixed point theorems in a new type of modular metric spaces
Fixed Point Theory and Applications, 2018 In this paper, considering both a modular metric space and a generalized metric space in the sense of Jleli and Samet (Fixed Point Theory Appl. 2015:61, 2015), we introduce a new concept of generalized modular metric space.
Duran Turkoglu, Nesrin Manav
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Mathematics, 2023 In the realm of generalized modular metric spaces, we substantiate the validity of fixed-point theorems with Branciari contractions. This paper expands and broadens the original theorems in this context. Subsequently, by building upon this foundation, we
Nesrin Manav Tatar, Ravi P. Agarwal
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Best Proximity Point Results in Non-Archimedean Modular Metric Space
Mathematics, 2017 In this paper, we introduce the new notion of Suzuki-type ( α , β , θ , γ ) -contractive mapping and investigate the existence and uniqueness of the best proximity point for such mappings in non-Archimedean modular metric space using the weak ...
Mohadeshe Paknazar, Manuel De la Sen
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Mathematics, 2016 The purpose of this paper is to present a new approach to study the existence of fixed points for multivalued F-contraction in the setting of modular metric spaces. In establishing this connection, we introduce the notion of multivalued F-contraction and
Dilip Jain +3 more
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Integral type contractions in modular metric spaces [PDF]
Journal of Inequalities and Applications, 2013 Abstract We prove the existence and uniqueness of a common fixed point of compatible mappings of integral type in modular metric spaces. MSC:47H09, 47H10, 46A80.
Choonkil Park +2 more
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Topology-aware design of spiking neural networks via modular graph architectures. [PDF]
PLoS ONESpiking Neural Networks (SNNs) offer a biologically plausible and energy-efficient alternative to traditional artificial neural networks (ANNs), yet their design remains constrained by limited architectural flexibility and slow training dynamics. In this
Farideh Motaghian +3 more
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Fixed Point Results in Modular b-Metric-like Spaces with an Application
AxiomsIn this study, we introduce a new space called the modular b-metric-like space. We investigate some properties of this new concept and define notions of ξ-convergence, ξ-Cauchy sequence, ξ-completeness and ξ-contraction.
Nizamettin Ufuk Bostan, Banu Pazar Varol
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