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KKM and KY fan theorems in modular function spaces [PDF]
In modular function spaces, we introduce Knaster-Kuratowski-Mazurkiewicz mappings (in short KKM-mappings) and prove an analogue to Ky Fan s fixed point theorem. 2010 Mathematics Subject Classification: Primary 46B20, 47H09; Secondary 47H10.
Latif Abdul +2 more
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Banach Contraction Principle-Type Results for Some Enriched Mappings in Modular Function Spaces
The idea of enriched mappings in normed spaces is relatively a newer idea. In this paper, we initiate the study of enriched mappings in modular function spaces.
Safeer Hussain Khan +2 more
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A note on the admissibility of modular function spaces
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Diana Caponetti, Grzegorz Lewicki
exaly +6 more sources
Fixed point theory in modular function spaces [PDF]
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M A Khamsi
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$rho$-Attractive Elements in Modular Function Spaces [PDF]
In this paper, we introduce the notion of ρ-attractive elements in modular function spaces. A new class of mappings called ρ-k-nonspreading mappings is also introduced. Making a good use of the two notions, we first prove existence results and then some approximation results in the setup of modular function spaces.
Iqbal, H., Abbas, M., Khan, S. H.
openaire +2 more sources
Examples of weakly compact sets in Orlicz spaces [PDF]
This paper provides a number of examples of relatively weakly compact sets in Orlicz spaces. We show some results arising from these examples.
D. Dauitbek +2 more
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Design and Dynamic Simulation Verification of an On-Orbit Operation-Based Modular Space Robot
Space robots have been playing an important role in space on-orbit operation missions. However, the traditional configuration of space robots only has a single function and cannot meet the requirements of different space missions, and the launch cost of ...
Dong Yang, Xiaokui Yue, Ming Guo
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Fixed Point Results on Partial Modular Metric Space
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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Emergence of kinematic space from quantum modular geometric tensor
We generalize the Quantum Geometric Tensor by replacing a Hamiltonian with a modular Hamiltonian. The symmetric part of the Quantum Geometric Tensor provides a Fubini-Study metric, and its anti-symmetric sector gives a Berry curvature. Our generalization
Xing Huang, Chen-Te Ma
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Generalized modular fractal spaces and fixed point theorems
In this article, we introduce a new concept of Hausdorff distance through generalized modular metric on nonempty compact subsets and study some topological properties of it.
Alireza Alihajimohammad, Reza Saadati
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