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modular function

Common fixed points in partially ordered modular function spaces

Common fixed points in partially ordered modular function spaces

... Remark Recently, Paknazar et al. [] gave the existence of the solutions of the integral equations in modular function spaces. Hajji and Hanebaly [] also applied their fixed point result to obtain the ...

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KKM and KY fan theorems in modular function spaces

KKM and KY fan theorems in modular function spaces

... of modular function spaces which are natural generalization of both function and sequence variants of many important, from applications perspective, spaces like Lebesgue, Orlicz, Musielak-Orlicz, ...

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One-local retract and common fixed point in modular function spaces

One-local retract and common fixed point in modular function spaces

... of modular function ...both function and sequence variants of many important, from applications perspective, spaces like Lebesgue, Orlicz, Musielak-Orlicz, Lorentz, Orlicz-Lorentz, ...

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Banach operator pairs and common fixed points in modular function spaces

Banach operator pairs and common fixed points in modular function spaces

... of modular function spaces which are natural generalization of both function and sequence variants of many important, from applications perspec- tive, spaces like Lebesgue, Orlicz, Musielak-Orlicz, ...

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Common fixed points for pointwise Lipschitzian semigroups in modular function spaces

Common fixed points for pointwise Lipschitzian semigroups in modular function spaces

... They also gave an example of a mapping which is ρ-nonexpansive, but it is not norm- nonexpansive. From this perspective, the fixed point theory in modular function spaces should be considered as ...

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Fixed point iteration processes for asymptotic pointwise nonexpansive mapping in modular function spaces

Fixed point iteration processes for asymptotic pointwise nonexpansive mapping in modular function spaces

... Note that τ is convex provided ρ is convex. A typical method of proof for the fixed point theorems in Banach and metric spaces is to construct a fixed point by finding an element on which a specific type function ...

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Fixed Points of Multivalued Maps in Modular Function Spaces

Fixed Points of Multivalued Maps in Modular Function Spaces

... of modular function spaces. We also discuss the concept of w-modular function and prove fixed point results for weakly-modular contractive maps in modular function ...

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Fixed points of multivalued mappings in modular function spaces with a graph

Fixed points of multivalued mappings in modular function spaces with a graph

... in modular function spaces endowed with a graph ...in modular function spaces was initiated by Khamsi et ...in modular function spaces is referred to ...

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Convergence of Ishikawa iterates of two mappings in modular function spaces

Convergence of Ishikawa iterates of two mappings in modular function spaces

... We establish convergence in the modular sense of an iteration scheme associated with a pair of mappings on a nonlinear domain in modular function spaces. In particular, we prove that such a scheme ...

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Best proximity point theorems for Fρ-proximal contraction in modular function spaces

Best proximity point theorems for Fρ-proximal contraction in modular function spaces

... of modular function spaces has recently attracted a good attention of researchers since its initiation by Nakano [1] in connection with the theory of order ...

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Convergence theorems to common fixed points of multi-valued ρ-quasi-nonexpansive mappings in modular function spaces

Convergence theorems to common fixed points of multi-valued ρ-quasi-nonexpansive mappings in modular function spaces

... in modular function spaces the existence of fixed points of multivalued, more difficult than single valued mappings, nonexpansive mappings is guaranteed(see ...

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On the set of common fixed points of semigroups of nonlinear mappings in modular function spaces

On the set of common fixed points of semigroups of nonlinear mappings in modular function spaces

... Again, let us combine Theorem . with Theorem . to demonstrate the convergence of an Ishikawa-type, two-step iterative algorithm to a common fixed point of a semigroup of nonlinear mappings in modular ...

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Approximating fixed points of multivalued ρ-nonexpansive mappings in modular function spaces

Approximating fixed points of multivalued ρ-nonexpansive mappings in modular function spaces

... In this paper, we approximate fixed points of ρ-nonexpansive multivalued mappings in modular function spaces using a Mann iterative process. We make the first ever effort to fill the gap between the existence ...

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On monotone contraction mappings in modular function spaces

On monotone contraction mappings in modular function spaces

... We prove the existence of fixed points of monotone-contraction mappings in modular function spaces. This is the modular version of the Ran and Reurings fixed point theorem. We also discus the extension ...

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Non decreasing Sub modular Function for Comprehensible Summarization

Non decreasing Sub modular Function for Comprehensible Summarization

... ing function, it can be utilised to frame a compre- hensibility index to quantify how much a summary generated by any summarization system is compre- hensible to the ...

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Asymptotic pointwise contractive type in modular function spaces

Asymptotic pointwise contractive type in modular function spaces

... Very recently, Saeidi [] introduced the concept of (weak) asymptotic pointwise contrac- tion type: Let (M, d) be a metric space. A mapping T : M → M is said to be of asymptotic pointwise contraction type (resp. of weak ...

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On the convergence of iteration processes for semigroups of nonlinear mappings inmodular function spaces

On the convergence of iteration processes for semigroups of nonlinear mappings inmodular function spaces

... that modular function spaces are a natural generalization of both function and sequence variants of many spaces like Lebesgue, Orlicz, Musielak-Orlicz, Lorentz, Orlicz-Lorentz, Calderon-Lozanovskii ...

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A Pata-type fixed point theorem in modular spaces with application

A Pata-type fixed point theorem in modular spaces with application

... of modular spaces in connection with the the- ory of ordered ...classical function spaces L p ...in modular function ...in modular spaces (see, for instance, [–]) and the papers ...

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Fixed point results of pointwise contractions in modular metric spaces

Fixed point results of pointwise contractions in modular metric spaces

... a function pseudo- modular with the Fatou ...of modular function space as per the framework defined by Kozlowski in [–]; see also Musielak [] for the basics of the general modular ...

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Jacket Matrix Based on Modular (3, 5, 6) Lattice Triangular Expansion

Jacket Matrix Based on Modular (3, 5, 6) Lattice Triangular Expansion

... the modular Lattice and Pentagon expansion matrices are structured from triangular matrix, each of the expansion matrices are modular the sides of the shape ...The modular Lattice code is highly ...

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