Hasil Pencarian  ::  Simpan CSV :: Kembali

"Salah satu perumuman dari ruang metrik adalah ruang metrik parsial. Ruang metrik parsial merupakan (X, p) dengan X merupakan himpunan tak kosong dan p : X × X → R merupakan metrik parsial pada X, yaitu pemetaan bernilai R pada X×X yang memenuhi beberapa aksioma. Nilai metrik parsial tersebut dapat diperumum menjadi aljabar-C* unital A, sehingga dibentuk ruang metrik parsial bernilai aljabar-C* (X, A, p) dengan X merupakan himpunan tak kosong dan p : X × X → A merupakan metrik parsial bernilai aljabar-C* pada X, yaitu pemetaan bernilai A pada X × X yang memenuhi beberapa aksioma. Titik tetap dari pemetaan pada suatu himpunan, khususnya ruang metrik, adalah titik yang dipetakan ke dirinya sendiri. Teorema titik tetap merupakan teorema mengenai eksistensi dan ketunggalan titik tetap dari pemetaan pada ruang metrik. Pada skripsi ini, ditentukan dan dibuktikan hubungan ruang metrik parsial bernilai aljabar-C* dengan ruang metrik bernilai aljabar-C*. Selain itu, dibuktikan teorema titik tetap dari pemetaan kontraktif bernilai aljabar-C* pada ruang metrik parsial bernilai aljabar-C*.

---

One of the extension of metric spaces is partial metric spaces. A partial metric space is a pair (X, p) where X is a nonempty set and p : X × X → R is a partial metric on X, which is a real valued mapping on X × X that satisfy some axioms. The value of partial metrics can be generalized to a unital C*-algebra A, so that we can form a C*-algebra valued partial metric space (X, A, p) where X is a nonempty set and p : X × X → A is a C*-algebra valued partial metric on X, which is a A-valued mapping on X × X that satisfy some axioms. A fixed point of a mapping on a set, particularly metric space, is a point that is mapped to itself. Fixed point theorems are theorems regarding existence and uniqueness of a fixed point of a mapping on metric spaces. In this research, we establish and prove the relations between C*-algebra valued partial metric spaces and C*-algebra valued metric spaces. Furthermore, we prove a fixed point theorem of a C*-algebra valued contractive mapping on C*-algebra valued partial metric spaces."

"Titik x dikatakan titik tetap dari sembarang pemetaan T jika dan hanya jika T x = x. Berbagai hasil mengenai teorema titik tetap telah dibuktikan pada ruang metrik. Seiring berkembangnya bidang analisis matematis, semakin banyak matematikawan yang berhasil membuktikan teorema titik tetap di berbagai ruang dan pemetaan. Namun, tidak banyak hasil mengenai teorema titik tetap yang telah dibuktikan pada ruang dislocated quasi b-metric. Ruang dislocated quasi b-metric adalah salah satu bentuk perluasan dari ruang metrik dimana jarak antara dua buah titik yang sama tidak harus bernilai nol yaitu d(x, x) =/= 0 serta sifat simetri yaitu d(x, y) = d(y, x) tidak berlaku di ruang ini. Pada skripsi ini, akan dibuktikan kembali teorema-teorema mengenai ketunggalan titik tetap pada ruang dislocated quasi b-metric untuk sembarang pemetaan. Pada Skripsi ini juga akan dibahas mengenai teorema titik tetap untuk pemetaan tipe F-kontraktif pada ruang yang sama.

---

A point x is said to be a fixed point of a mapping T on a nonempty set X if and only if T x = x. Many results regarding the fixed point theorem have been proved on metric spaces. As the field of mathematical analysis develops, more and more mathematicians have succeeded in proving fixed point theorems in various spaces and mappings. However, not many results regarding the fixed point theorem have been proved on dislocated quasi b-metric spaces. Dislocated quasi b-metric space is one of the extensions of metric space where the distance between two equal points does not have to be zero i.e. d(x, x) =/= 0 and the symmetry property i.e. d(x, y) = d(y, x) does not apply in this space. In this thesis, we will prove the theorems on the uniqueness of fixed points on dislocated quasi b-metric spaces for any mapping. This thesis also discusses the fixed point theorem for F-contractive type mappings in the same space."

"ABSTRAK

---

ABSTRACTAs part of the society, woman who lives in urban slum areas usually did not get much attention of their existence. When we talk about their roles in their life, actually these women have three roles. These three roles are not only reproductive role or dosmectic role, when women should take care of their family and house, but also productive role or the role that makes them to work too as a primer or secondary income-earners, and the third role, the community management (Moser, 1988; 1993, dalam Miraftab, 1995).These women in slum areas became special as their three roles should meet the economic presure and bad condition of their settelement. They should face the truth about patriarchy system in the family, which men (or their husband) is said to have domination, including women space of activities.From the pre-research in 2012, researcher found out that women in slum areas can use even the small space in their house efficiently and effectively. But at that pre-research, researcher did not include about the women point of view of the use of that space with their husband or children. Because of that, this research is about exploring women’s life and apce of activities in slum areas with their roles and activities in spaces in slum areas from gender perspective of how the space is created and used as it related with people around the women’s life, especially their husband, when they use that space.The case studies of this reasearch are slum areas in Bukit Duri, Tebet, South Jakarta, with focus on RT 11 and RT 15 in RW 10. Both RTs is the poorest and always got flooded when the rain season comes because of their location in Kali Ciliwung riverbank. These women who live in this settlements can show us that poor women can live their life in very bad and limited spaces in their settlement for their space of activities. The limited spaces meet a lot of needs of space then relates to the existence of negotiation that women did as the way they form and use the existing spaces for their space of activities.The method that researcher used is ethnograpic method, especially about the relation of people and spaces. The main approach is participant-observation to know these women’s space, people who involved, activities, the objects, actions, events, aims, and feeling in each of their activities (Reeves, Kuper, dan Hodges, 2008). With that method, research can learn how these women and their family, especially their husband, use the space in their house and their society for their activities as part of space negotiation.Research then found out that women in slum areas can balance their three roles and that’s relate to how their face life presure from their husband, children, and the condition of their house and settlement. But at the same time, all of that pressures can make them stronger and can get opportunity to have access of spaces in their house and settlement. This can show us the position of these women in family are not subordinated. Even that position can be seen in how they use the spaces for their activities as a result of space negotiation that women and their husband did. So all of the condition that being thought will make them have a hard time to do their activities is actually can help them balance their roles, which area reproductive role, productive role, and community management role."

"Perhatian pada rancangan dan aktivitas ruang luar telah menjadi topik yang banyak dibahas di kalangan peneliti maupun praktisi properti. Salah satu nilai tambah yang dapat diterapkan pada ruang luar sebuah properti adalah penambahan elemen kanopi. Penelitian ini bertujuan untuk mengetahui sejauh mana penggunaan kanopi berkontribusi dalam meningkatkan nilai jual properti, kualitas visual dan fungsional sepanjang jalur, dan menjadi daya tarik bagi konsumennya sehingga dapat dikaji hal-hal yang menjadi pertimbangan pengembang dalam mengambil keputusan untuk menggunakan kanopi serta menjadikannya sebagai salah satu bagian dari strategi pemasaran. Hal ini dapat ditinjau tak hanya pada properti yang disewa, tetapi juga pada properti yang dijual.Dalam penelitian ini, jenis properti difokuskan pada ruko yang dijual. Penelitian yang dilakukan pada sebuah kompleks ruko, yaitu CBD P ini difokuskan pada penggunaan kanopi pada jalur antar-blok ruko dan perbandingannya dnegan jalur antar-blok ruko tanpa kanopi. Pengamatan dilakukan pada bulan Maret hingga Mei 2013. Data primer diperoleh dari hasil wawancara dengan pihak pemasaran dan manajer lapangan CBD P, serta dari hasil wawancara dan pembagian kuesioner kepada para pemilik ruko di CBD P. Kuesioner dibagikan kepada 106 responden dengan pembagian responden menjadi dua grup, yaitu: responden pada ruko dengan kanopi dan responden pada ruko tanpa kanopi. Data hasil kuesioner diolah dengan analisis regresi logistik biner dan chi-kuadrat melalui program Microsoft Excel 2008 dan SPSS 20. Data sekunder diperoleh dari pihak pemasaran dan manajer lapangan CBD P meliputi: peta kompleks dan fasilitasnya, harga jual ruko, sejarah pembangunan kompleks ruko, fotofoto kondisi fisik terakhir, rencana dan informasi mengenai ruang luar kompleks CBD P.Hasil penelitian mengungkapkan bahwa pengembangan potensi jalur-jalur tembus dalam kompleks dengan pemasangan kanopi dapat direncanakan untuk menghidupkan aktivitas sosial jalur antar-blok pada kompleks karena kanopi tak hanya berperan sebagai pemberi kenyamanan termal, tetapi juga menjadi sebuah elemen yang dapat memobilisasi manusia, memunculkan aktivitas dan ketertarikan masyarakat, serta memberikan image tertentu pada kawasan yang dilingkupinya, sebagai tempat peralihan, tempat bersantai, tempat diadakan event-event, serta wadah baru bagi sektor informal. Pemasangan kanopi juga meningkatkan nilai jual ruko. Penambahan biaya kanopi dan dekorasinya sebesar Rp 400.039,-/m2 untuk tiap ruko meningkatkan nilai jual ruko sebesar 107% hingga 177%, yaitu dari Rp 3.234.257,-/m2 hingga Rp 4.326.132,-/m2 menjadi Rp 6.510.417,-/m2. Meski ruko-ruko tersebut dijual, namun sistem pengelolaan dengan berbagai event dan kerjasama yang dilakukan oleh pengembang menjadi strategi yang menarik perhatian masyarakat. Pemanfaatan ruang luar dengan penggunaan kanopi menjadi sebuah nilai tambah dengan menerapkan strategi place-marketing karena bermanfaat menciptakan ruang publik dengan nuansa yang berbeda. Penggunaannya sebagai ruang publik komersial juga memperlihatkan citra proyek yang baik kepada masyarakat dan kesan pengembang sebagai sebuah perusahaan yang profesional.

---

Concern over outdoor space design and activities has continually remained a source of study in property area. Canopy has become an element that can perform as an added-value to a property outdoor. This study aims to determine how the usage of a canopy contributes to increase the property price, enhance the visual and functional quality along the shopping street, and attract the consumers. These considerations will prompt the reasons why some developers decided to utilize an outdoor area by covering it with canopy and involved it as a part of the marketing strategy. It can be examined not only on leased, but also on purchased property. In this research, the property is emphasized on purchased shophouses. The research conducted in a shophouses complex, CBD P, focused on the usage of three inter-block paths that is covered by canopies, in contrast to other inter-block paths without canopies. Observations were carried out in March until May 2013. Primary data were obtained from interviews with the marketing experts and site manager of CBD P, as well as from the interviews with and the distribution of questionnaires to the shophouses' owners. Questionnaires were distributed to 106 respondents which is divided into two groups: those who purchased shophouses with canopy and those who purchased shophouses without canopy. Data processing of the questionnaire results was performed with binary logistic regression analysis and chi-square using Microsoft Excel 2008 and SPSS 20. Secondary data were obtained from the marketing data collection and site manager of CBD P which include: a map of the complex and its facilities, a concise explanation of its development history, the shophouses sales price, photos of the CBD P, and the summary of future development plans.The results of this study revealed that the shophouses inter-block paths enhanced by translucent canopies installation can bring out some new social activities because the canopy can not only give a better thermal comfort, but also can mobilize people, enhance public interests and activies, provide a certain image and atmosphere in the area the canopy enclose, act as a place of transition and for holding events, as well as give opportunity to the informal sector to play a complementary role in the area. The research revealed that the canopy installation influences the shophouses sale price and it's still saleable to the prospective buyers. The incremental cost for the canopy and its decoration of Rp 400.039,-/m2 for every shophouse increases the developer's profit by 107% to 177%, from Rp 3.234.257,-/m2 up to Rp 4.326.132,-/m2 to Rp 6.510.417.-/m2. Even though the shophouses were sold, but the good management system with various events and partnerships conducted by the developer become valuable attributes to attract public attention. The utilization of outdoor space by covering it with canopy become an addedvalue by applying place-marketing strategy as it created an altered atmosphere to the public space. Its usage as a commercial public space also shows a good development image to the public and the developer's image as a professional company."