Complete Science & Technical News Portal

- In Direction to Reshaping of Foreign Trade Policy
- Investigation of Bioactive Compounds and Antioxidant Activity of Excoecaria agallocha L.: Critical Overview
- Scientific Investigation on the Efficacy of Isolated Nomuraea rileyi and Spinosad against Corn Pests under Laboratory and Field Conditions in Egypt
- Assessment of Resistance Status of the Major Storage Insect Pests of Cocoa to Deltamethrin in Ghana: Descriptive Research
- Scientific Investigation for Determining the Sustainability Index of Tobacco Planted in Various Types of Land Typology in Pamekasan, Madura
- Field Management, Storage Structure, Nanoparticles and Maize Weevil Pest: Important Considerations in the Sustainable Production of Maize Grains
- Research on Degradation and Sustainable Practices for Forest Resources in Plateau State, Nigeria
- Bioindicators: Study on Uptake and Accumulation of Heavy Metals in Plant Leaves of State Highway Road, Bagalkot, India: Advanced Study
- Effect of Sugar Cane Whip Smut (Sporisorium scitamineum Syd) on Field Sucrose, Juice Quality and Ratooning Ability of Two Sugar Cane Varieties in Nigeria
- The Diversity of Green Bean Biochemical Compounds in Robusta Coffee (Coffea canephora Pierre ex A. Froehner) as Evaluated by Near Infrared Spectroscopy: A Scientific Overview

**A random fixed point theorem for a multivalued contraction mapping**

Some results on measurability of multivalued mappings are given. Then using them, the following random fixed point theorem is proved; Theorem. Let X be a Polish space, (T,) a measurable space. Let F : T × X → CB(X) be a mapping such that for each x ∈ X, F(⋅,x) is measurable and for each t ∈ T, F(t,⋅) is k(t)-contraction, where k : T → [0,1) is measurable. Then there exists a measurable mapping u : T → X such that for every t ∈ T, u(t) ∈ F(t,u(t)). [1]

**Downscaling of remotely sensed soil moisture with a modified fractal interpolation method using contraction mapping and ancillary data**

Previous work showed that remotely sensed soil moisture fields exhibit multiscaling and multifractal behavior varying with the scales of observations and hydrometeorological forcing (Remote Sens. Environ. [2]

**A contraction mapping preserving balanced reduction scheme and its infinity norm error bounds
**

A balanced reduction scheme for linear systems, based on the simultaneous diagonalization of the solutions of the dual algebraic Riccatti equations of the bounded real lemma, is introduced. This procedure reduces a bounded stable transfer matrix S(s) (//S///sub infinity /> [3]

**A Note on Banach Contraction Mapping principle in Cone Hexagonal Metric Space**

In this paper, we prove fixed point theorem of a self mapping in non-normal cone hexagonal metric spaces. Our result extend and improve some recent results of Azam et al., [Banach contraction principle on cone rectangular metric spaces, Applicable Analysis and Discrete Mathematics, 3 (2), 236 – 241, 2009].[4]

**Fixed Point Results for Generalized Weakly C- contractive Mappings in Ordered G-partial Metric Spaces**

We introduced the class of generalized weakly C-contractive mappings in G-partial metric spaces by combining the characteristics of Hardy and Rogers maps with weak contraction maps. [5]

Reference

[1] Itoh, S., 1977. A random fixed point theorem for a multivalued contraction mapping. Pacific Journal of Mathematics, 68(1), pp.85-90.

[2] Kim, G. and Barros, A.P., 2002. Downscaling of remotely sensed soil moisture with a modified fractal interpolation method using contraction mapping and ancillary data. Remote Sensing of Environment, 83(3), pp.400-413.

[3] Opdenacker, P.C. and Jonckheere, E.A., 1988. A contraction mapping preserving balanced reduction scheme and its infinity norm error bounds. IEEE Transactions on Circuits and Systems, 35(2), pp.184-189.

[4] Auwalu, A. and Hınçal, E. (2016) “A Note on Banach Contraction Mapping principle in Cone Hexagonal Metric Space”, Journal of Advances in Mathematics and Computer Science, 16(1), pp. 1-12. doi: 10.9734/BJMCS/2016/25172.

[5] Eke, K. (2015) “Fixed Point Results for Generalized Weakly C- contractive Mappings in Ordered G-partial Metric Spaces”, Journal of Advances in Mathematics and Computer Science, 12(1), pp. 1-11. doi: 10.9734/BJMCS/2016/18991.

Related Posts