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- 저자 : Thoker, Shamim Ahmad (검색결과 3 건)
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EXISTENCE OF COINCIDENCE POINT UNDER GENERALIZED NONLINEAR CONTRACTION WITH APPLICATIONS
Deshpande, Bhavana,Handa, Amrish,Thoker, Shamim Ahmad The Youngnam Mathematical Society 2016 East Asian mathematical journal Vol.32 No.3
We present coincidence point theorem for g-non-decreasing mappings satisfying generalized nonlinear contraction on partially ordered metric spaces. We show how multidimensional results can be seen as simple consequences of our unidimensional coincidence point theorem. We also obtain the coupled coincidence point theorem for generalized compatible pair of mappings $F,G:X^2{\rightarrow}X$ by using obtained coincidence point results. Furthermore, an example and an application to integral equation are also given to show the usability of obtained results. Our results generalize, modify, improve and sharpen several well-known results.
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EXISTENCE OF COINCIDENCE POINT UNDER GENERALIZED NONLINEAR CONTRACTION WITH APPLICATIONS
Bhavana Deshpande,Amrish Handa,Shamim Ahmad Thoker 영남수학회 2016 East Asian mathematical journal Vol.32 No.3
We present coincidence point theorem for g-non-decreasing mappingssatisfying generalized nonlinear contraction on partially ordered metricspaces. We show how multidimensional results can be seen as simpleconsequences of our unidimensional coincidence point theorem. We also obtainthe coupled coincidence point theorem for generalized compatible pair ofmappings F, G : X2 → X by using obtained coincidence pointresults. Furthermore, an example and an application to integral equation arealso given to show the usability of obtained results. Our resultsgeneralize, modify, improve and sharpen several well-known results.
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Mohmad Akbar,M. Shafi Bhat,Arunima Chanda,Fayaz Ahmad Lone,Irshad Ahmad Thoker 대한공간정보학회 2022 Spatial Information Research Vol.30 No.6
Snow-avalanches are responsible for loss of life and damage to infrastructure in mountainous areas across the world. The present study aims to integrate traditional knowledge with Geographic Information System (GIS) for generation of snow-avalanche susceptibility map for Kargil-Ladakh Region of Trans-Himalayas. The avalanche susceptibility map has been generated using Analytical Hierarchal Process (AHP) method by combining avalanche inventory with avalanche influencing factors. The avalanche susceptibility map generated for the region reveals that around (60%) of area falls under low to very-low susceptibility classes, while as, around (21%) area falls in the moderate susceptibility zone. Approximately (19%) area is comprised of high and veryhigh susceptibility classes. The findings reveal that high and very-high susceptible zones are located in the northern part of study area which is having a relatively high population concentration along with higher road and lineament density. The moderate susceptibility zones are mostly spread in the vicinity of local highways and road-networks across the region. The low and very-low susceptibility classes are either located at higher elevations or in areas with unfavorable snow-avalanche conditions. Receiver Operating Characteristic (ROC) method was used for validation of results which conforms a high accuracy of 84%. The findings of the study could be helpful in formulation of effective avalanche mitigation strategies in this strategic border region of India.
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