Results 11 to 20 of about 4,629,646 (278)
Some Fixed Point Results for Sehgal-Proinov Type Contractions in Modular b−Metric Spaces
In this paper, inspired by Proinov type contractions, we intend to acquire novel definitions and results that expand Sehgals [3] metric fixed point theory in the sense of modular b−metric space. To demonstrate the theorems, we employ a general form of (α,
Büyükkaya Abdurrahman +1 more
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On Modified Interpolative Almost
The current study attempts to identify a new generalized metric space structure, referred to as partial modular b−metric, that extends both partial modular metric space via b−metric space and explains the topological aspects of the new space implementing
Dilek Kesik +2 more
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Common fixed point results on modular ℱ-metric spaces [PDF]
Jleli and Samet[1] introduced a new concept, named a ℱ-metric space, as a generalization of the notion of metric space. We define new generalization of modular metric space as modular ℱ-metric space. We compare the topology produced by modular metric and by modular ℱ-metric, then cover some useful properties of this topology for fixed point theorems ...
Manav, Nesrin, Türkoğlu, Duran
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One-Local Retract and Common Fixed Point in Modular Metric Spaces [PDF]
The notion of a modular metric on an arbitrary set and the corresponding modular spaces, generalizing classical modulars over linear spaces like Orlicz spaces, were recently introduced.
Afrah A. N. Abdou
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Quasi‐Contractive Mappings in Modular Metric Spaces [PDF]
We prove the existence of fixed point and uniqueness of quasi‐contractive mappings in modular metric spaces which was introduced by ...
Yeol Je Cho +2 more
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Implicit Contractive Mappings in Modular Metric and Fuzzy Metric Spaces [PDF]
The notion of modular metric spaces being a natural generalization of classical modulars over linear spaces like Lebesgue, Orlicz, Musielak-Orlicz, Lorentz, Orlicz-Lorentz, and Calderon-Lozanovskii spaces was recently introduced. In this paper we investigate the existence of fixed points of generalized
N. Hussain, P. Salimi
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Fixed point theorem and iterated function system in φ-metric modular space
We introduce and study the concept of φ-metric modular space and, then define φ-α-Meir-Keeler contraction on it and explore its fixed point. Further, we define the Hausdorff distance between two non-empty compact subsets of the considered space.
Bikramjit Acharjee, Guru Prem Prasad M
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Extending the Presic type operators to modular spaces, we introduce generalised Presic type w-contractive mappings and strongly w-contractive mappings in a modular metric space and establish fixed-point theorems for such contractions in modular spaces ...
Fahad Sameer Alshammari +3 more
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On Asymptotic Pointwise Contractions in Modular Metric Spaces [PDF]
In this paper we study and prove some new fixed points theorems for pointwise and asymptotic pointwise contraction mappings in modular metric spaces.
Afrah A. N. Abdou
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Fixed Point Results in Modular b-Metric-like Spaces with an Application
In 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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