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Keyword: Fixed point
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Open AccessArticle
9 Pages, 700 KB Download PDF

Some Results on Fixed Points Related to \( \phi-\psi \) Functions in JS – Generalized Metric Spaces

Advances in Science, Technology and Engineering Systems Journal, Volume 6, Issue 1, Page # 112–120, 2021; DOI: 10.25046/aj060112
Abstract:

In this paper are shown some new results on fixed point related to a φ – ψ contractive map in JS – generalized metric spaces X. It proves that there exists a unique fixed point for a nonlinear map f:X→X, using two altering distance functions. Furthermore, it gives some results which related to a couple…

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(This article belongs to Section Mathematics (MAT))
Open AccessArticle
9 Pages, 1,827 KB Download PDF

Indoor Positioning and Path Planning Platform for iRobot Create 2 Sweeping Robot

Advances in Science, Technology and Engineering Systems Journal, Volume 4, Issue 3, Page # 198–206, 2019; DOI: 10.25046/aj040327
Abstract:

Many robots have been proposed for smart applications in recent years However, while these robots have good ability to move between fixed points separated by short distances, they perform less well when required to navigate complex interior spaces with an irregular layout and multiple obstacles due to their relatively crude positioning and path control capabilities.…

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(This article belongs to the SP6 (Special Issue on Recent Advances in Engineering Systems 2018-19) & Section Robotics (ROB))
Open AccessArticle
6 Pages, 654 KB Download PDF

Multi-Step Iteration Algorithm of Total Asymptotically Quasi-Nonexpansive Maps

Advances in Science, Technology and Engineering Systems Journal, Volume 4, Issue 3, Page # 69–74, 2019; DOI: 10.25046/aj040311
Abstract:

In Banach spaces an iteration algorithm for two finite families of total asymptotically quasi-nonexpansive maps is introduced. Weak and strong convergence theorems of this algorithm to approximation common fixed points are proved by using suitable conditions. As well as, numerical example by using Mat-lab is given.

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(This article belongs to the SP7 (Special Issue on Advancement in Engineering and Computer Science 2019) & Section Mathematics (MAT))
Open AccessArticle
4 Pages, 327 KB Download PDF

Cyclical contractive conditions in probabilistic metric spaces

Advances in Science, Technology and Engineering Systems Journal, Volume 2, Issue 5, Page # 100–103, 2017; DOI: 10.25046/aj020516
Abstract:

The purpose of this paper is to prove a fixed point theorem for a probabilistic k-contraction restricted to two nonempty closed sets of a probabilistic metric spaces, then we prove that these results can be extended to a collection of finite closed sets.

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(This article belongs to Section Applied Mathematics (MAP))

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