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[PDF] Top 20 Some result on modular hyperconvex spaces

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Some result on modular hyperconvex spaces

Some result on modular hyperconvex spaces

... Hyperconvex space, modular hyperconvex space and Fixed point theory play an impor- tant role in several subject of mathematics. For instance, it has been used in probability and mathematical ... See full document

6

Fixed points of multivalued contraction mappings in modular metric spaces

Fixed points of multivalued contraction mappings in modular metric spaces

... Hausdorff modular metric and obtain a multivalued version of the result [, Theorem ...in modular metric ...to modular metric spaces. The linear version of some of our results may ... See full document

10

Common fixed point theorems for generalized contraction mappings in modular metric spaces

Common fixed point theorems for generalized contraction mappings in modular metric spaces

... of modular metric spaces generated by F-modular and developed the theory of this ...of modular on an arbitrary set and develop the theory of metric spaces generated by modular ... See full document

10

The contraction principle for mappings on a modular metric space with a graph

The contraction principle for mappings on a modular metric space with a graph

... Edelstein’s result in modular metric spaces endowed with a ...metric spaces with a ...metric spaces since the modulars fail in general the triangle inequality (see also ... See full document

10

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

... metric spaces []. In , Khamsi and Kozlowski [] extended their result proving the existence of fixed points of asymptotic pointwise ρ-nonexpansive mappings acting in modular function ...a ... See full document

18

KKM and KY fan theorems in modular function spaces

KKM and KY fan theorems in modular function spaces

... In this paper, we introduce the concept of Knaster-Kuratowski-Mazurkiewicz map- pings (in short KKM-mappings) in modular function spaces. Then, we prove an analo- gue to Ky Fans fixed point theorem which ... See full document

8

Common fixed point results of a pair of generalized \((\psi,\varphi )\)-contraction mappings in modular spaces

Common fixed point results of a pair of generalized \((\psi,\varphi )\)-contraction mappings in modular spaces

... Kannan’s result, a lot of papers were devoted to obtaining fixed point or common fixed point theorems for various classes of contractive type conditions that do not require the continuity of the mappings; see, for ... See full document

19

Modular uniform convexity of Lebesgue spaces of variable integrability.

Modular uniform convexity of Lebesgue spaces of variable integrability.

... convex modular and introduce the definition of the UUC2 ...main result by properly defining the variable exponent Lebesgue ...main result of this work and in Section 4 we present ... See full document

14

On the fixed points of nonexpansive mappings in modular metric spaces

On the fixed points of nonexpansive mappings in modular metric spaces

... results, modular-type conditions are much more natural as modular-type assump- tions can be more easily verified than their metric or norm ...in modular func- tion spaces after the first paper ... See full document

13

Modular Cone Metric Spaces

Modular Cone Metric Spaces

... in modular metric spaces, Fixed Point Theory and Applications, (2011)", the authors have studied and introduced some fixed-point theorems in the framework of a modular metric ...main ... See full document

6

Nonexpansive retracts and weak compatible pairs in metric Spaces

Nonexpansive retracts and weak compatible pairs in metric Spaces

... celebrated result on the existence of a common fixed point for nonexpansive com- mutative family was first established by DeMarr [1] under the assumption that C is a compact convex subset of a normed space ...in ... See full document

10

Banach operator pairs and common fixed points in modular function spaces

Banach operator pairs and common fixed points in modular function spaces

... The study of a common fixed point of a pair of commuting mappings was initiated as soon as the first fixed point result was proved. This problem becomes more challen- ging and seems to be of vital interest in view ... See full document

12

Fixed point of nonlinear contractions in modular spaces

Fixed point of nonlinear contractions in modular spaces

... Razani et al. studied the fixed points of nonlinear and asymptotic contractions in the modular space in 2007. In this paper, we generalize the kind of nonlinear contraction that is the result of Razani et ... See full document

9

On Some Properties of Hyperconvex Spaces

On Some Properties of Hyperconvex Spaces

... similar result, but with the assumption of compactness, is proved in ...bounded hyperconvex metric spaces with unique metric ...is hyperconvex, then αA 2βA for all its bounded subsets ...is ... See full document

19

Fixed point results for generalized F-contractions in modular metric and fuzzy metric spaces

Fixed point results for generalized F-contractions in modular metric and fuzzy metric spaces

... in modular func- tion spaces after the first paper [] was published in ...for modular metric spaces; see ...point result as a generalization of the Banach contraction ...in ... See full document

20

On Some Geometrical Properties of Generalized Modular Spaces of Cesáro Type Defined by Weighted Means

On Some Geometrical Properties of Generalized Modular Spaces of Cesáro Type Defined by Weighted Means

... The authors would like to express their gratitude to the referee for making some useful comments on the first draft of the manuscript which improved the presentation of the paper. This work was supported by Ad ... See full document

13

Some Fixed Point Results for Caristi Type Mappings in Modular Metric Spaces with an Application

Some Fixed Point Results for Caristi Type Mappings in Modular Metric Spaces with an Application

... of modular space was introduced by Nakano [20] and was intensively developed by Koshi, Shimogaki, Yamamuro (see [18, 21]) and ...of modular space. In 2008, Chistyakov introduced the notion of modular ... See full document

7

Best Proximity Pairs for Upper Semicontinuous Set-Valued Maps in Hyperconvex Metric Spaces

Best Proximity Pairs for Upper Semicontinuous Set-Valued Maps in Hyperconvex Metric Spaces

... of hyperconvex spaces are finite dimensional real Banach spaces endowed with the maximum ...of hyperconvex metric spaces which are not linear spaces, see ...a hyperconvex ... See full document

5

On monotone contraction mappings in modular function spaces

On monotone contraction mappings in modular function spaces

... Orlicz spaces over a finite atomless measure [] or in sequence Orlicz spaces [] the uniform continuity of the Orlicz modular is equivalent to the  ... See full document

11

Some functional inequalities in variable exponent spaces with a more generalization of uniform continuity condition

Some functional inequalities in variable exponent spaces with a more generalization of uniform continuity condition

... generalized the main result of Boza and Soria in [1]. After wards by introducing a more generalization of uniform continuity on p to 0 < p(x) − p(y) < α(x) which α has β-controller condition that introduced ... See full document

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