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Keyword: Fixed pointSome Results on Fixed Points Related to \( \phi-\psi \) Functions in JS – Generalized Metric Spaces
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…
Read MoreIndoor Positioning and Path Planning Platform for iRobot Create 2 Sweeping Robot
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.…
Read MoreMulti-Step Iteration Algorithm of Total Asymptotically Quasi-Nonexpansive Maps
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.
Read MoreCyclical contractive conditions in probabilistic metric spaces
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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