• East Asian mathematical journal
• /
• v.32 no.3
• /
• pp.333-354
• /
• 2016

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.

• Spatial Information Research
• /
• v.14 no.3 s.38
• /
• pp.271-284
• /
• 2006

This study suggests the adjustment method of cadastral non-coincidence using spatial data referenced digital cadastral map and a present state. In designing the methodology, we should introduce the semi-automatic method for guaranteeing the stability and the accuracy at the arrangement of cadastral non-coincidence based on some cadastral specialist. This study could mainly show you rotation type, bias type, and rotation/bias type among cadastral non-coincidence types. We selected the matching reference point through the prototype system which automatically arranges in the study area. And then, we analysis the optimum rotation ratio(-0.4%). Finally, this paper show you calibrating cadastral non-coincidence using the rotation ratio. The methodology of this study has a limitation for arranging in case of cadastral non-coincidence by the area variation and some irregular types with unknown reason. Therefore, this case should be surveyed in direct method.

• The Pure and Applied Mathematics
• /
• v.26 no.4
• /
• pp.277-288
• /
• 2019

The main objective of this article is to establish some coincidence point theorem for g-non-decreasing mappings under contraction mapping principle on a partially ordered metric space. Furthermore, we constitute multidimensional results as a simple consequences of our unidimensional coincidence point theorem. Our results improve and generalize various known results.

• Journal of Korean Society for Geospatial Information Science
• /
• v.14 no.2 s.36
• /
• pp.23-32
• /
• 2006

This study shows that new methodology improved the problem of unaided eye test level with the digital orthophoto technique can survey more objectively and efficiently any cadastral non-coincidence than existing prior methodologies. For applying to it, we explore eligible other methodologies, and then build up the application strategy of them. New prototype system is implemented with it. Also, we say the availability of new methodology by applying to study area. As a result, we suggest cadastral non-coincidence surveying method based on point-correspondence more objective and more efficient. As a result of comparing with old method and new on same study area for making adequacy, they hardly ever has the difference of accuracy. Constantly, cadastral non-coincidence surveying method based on point-correspondence is acceptable way on the cadastral survey.

• Journal of the Korean Society of Surveying, Geodesy, Photogrammetry and Cartography
• /
• v.23 no.1
• /
• pp.19-30
• /
• 2005

Korean government has constructed a nationwide cadastral map database through the cadastral map computerization project and also produced a variety of spatial data through the NGIS (National Geographic Information Systems) project. Under this circumstance, it is needed to set up the new automatic methodology that effectively solve cadastral non-coincidence problems by using various digital map data instead of expensive field survey methods. This study proposed a new automatic methodology for cadastral non-coincidence surveying and developed a prototype system as a proof of concept. Validation of this proposed method was done with some test areas. Results showed that this methodology could easily detect and assess both regional non-coincidence levels and cadastral map quadrangle non-coincidence levels. We expect that this new methodology can provide many benefits in planning and determining work priority of the forthcoming nationwide cadastral re-surveying project.

• Communications of the Korean Mathematical Society
• /
• v.32 no.2
• /
• pp.375-387
• /
• 2017

In this paper, we prove some coincidence point theorems involving ${\varphi}-contraction$ in ordered partial metric spaces. We also extend newly introduced notion of g-comparability of a pair of maps for linear contraction in ordered metric spaces to non-linear contraction in ordered partial metric spaces. Thus, our results extend, modify and generalize some recent well known coincidence point theorems of ordered metric spaces.

• The Pure and Applied Mathematics
• /
• v.27 no.3
• /
• pp.109-124
• /
• 2020

We establish coincidence point theorem for S-non-decreasing mappings under Geraghty-type contraction on partially ordered metric spaces. With the help of obtain result, we derive two dimensional results for generalized compatible pair of mappings F, G : X² → X. As an application, we obtain the solution of integral equation and also give an example to show the usefulness of our results. Our results improve, sharpen, enrich and generalize various known results.

• Spatial Information Research
• /
• v.12 no.1
• /
• pp.43-56
• /
• 2004

Basically a land parcel consists of a land parcel number, land category, land boundary and area, and land value is mostly determined by the land category. Generally people want to change their land use to increase their land value so that they can expect more benefits from the land. However, changing land use causes several problems with land properties, haphazard urban expansions and land category non-coincidences. Unfortunately, no effective solutions exist for land category non-coincidence problems. In this study, we proposed a methodology that can classify the land category based land covers using high resolution satellite images and digital topographic maps. For this, we obtained a parcel based land use/cover classification map. Using both this classification map and a digital cadastral map, we inspected land category non-coincidences. As a result, land category non-coincidence rates could be statistically measured and interpreted and demonstrate a possibility that we could quantitatively interpretate and measure cadastral non-coincidence automatically.

• East Asian mathematical journal
• /
• v.22 no.2
• /
• pp.195-205
• /
• 2006

Using the notion of anti fuzzy points and its besideness to and non-quasi-coincidence with a fuzzy set, new concepts of an anti fuzzy subgroup are introduced and their inter-relations are investigated.

• Journal of the Korean Society of Surveying, Geodesy, Photogrammetry and Cartography
• /
• v.32 no.spc4_2
• /
• pp.387-392
• /
• 2014

Prior to start the business of Cadastral Non-Coincidence, there is a difficulty in the boundary setting due to the border dispute between the business owners, because of inconvenient land using and problems and the exercise of the ownership about their shared land. Expected that the cooperation of the residents admission can be used as countermeasures, which lead to conclude in the agreement by converging various opinions, such as about preceding business promotion, property rights and stable boundary, into one submission. Consequently, the national stength can be competitive by the efficient land management; the land portion of utilized area would be increasing as well as the boundary would be more convenient and accurate. In this study, the Cadastral Resurvey is planned to be analyzed the complaints based on complaint resolution cases and problems associated with the Cadastral Non-Coincidence. Following to the result, we want to use it to analyze the actual situation of Cadastral Non-Coincidence in Gyeongnam, so as generated by the Cadastral Resurvey business in the future for efficiency in the business.