GrowndSwell iPhone Application Development

GrowndSwell is a location-based social networking service developed to primarily solve the problem of trying to text several friends in order to convey a simple piece of information: “What are you planning to do today?” This capstone project is focused on developing an iPhone application as a tool for users to convey this information in an efficient and fun manner. The problem requires several tools to capture the market through development of phone applications that are compatible on several platforms and creating an attractive website for brand awareness. This capstone project has focused its attention on the product development of the iPhone application. It is targeted to developers and product managers who would be enhancing these tools to easily adapt to current processes and construct upcoming user interface designs and features. The capstone includes a comprehensive business plan for general business exposure of the services and products the company offers. It includes flowchart and user functionality documentation that are focused on the design aspects and the user interfaces and operation of the application. And lastly, the original code developed for the iPhone application. The problem solving approach in the development and design of the iPhone application follows a typical top-down approach; it was created taking the larger features, namely the going-out, staying-in, and studying agendas and was then concerned with the details involved in each feature. Our team made various transitions in the design and features however with the waterfall approach, no code was developed until the demo screens were confirmed. This made the software development process with the analysis and design easier. The testing, and implementation are done simultaneously hence not all features all implemented however the completed features are tested on the emulator. The software development and design are completed using vendor applications. The design and flow implementation used creative design adobe software such as Illustrator and Photoshop. Developing and testing the iPhone application were possible using Apple iOS SDK that are available online free of cost: (http://developer.apple.com/). While the capstone provides a variety of documents to preview, the focus is primarily on the developers and product managers who are able to obtain a general overview from the business concepts, to the details involved in the design and development of the iPhone application of GrowndSwell

Existence of Picard operator and iterated function system

[EN] In this paper, we define weak θm− contraction mappings and give a new class of Picard operators for such class of mappings on a complete metric space. Also, we obtain some new results on the existence and uniqueness of attractor for a weak θm− iterated multifunction system. Moreover, we introduce (α, β, θm)− contractions using cyclic (α, β)− admissible mappings and obtain some results for such class of mappings without the continuity of the operator. We also provide an illustrative example to support the concepts and results proved herein.The authors are thankful to the learned referee for valuable suggestions. The second author is also thankful to AISTDF, DST for the research grant vide project No. CRD/2018/000017.Garg, M.; Chandok, S. (2020). Existence of Picard operator and iterated function system. Applied General Topology. 21(1):57-70. https://doi.org/10.4995/agt.2020.11992OJS5770211S. Alizadeh, F. Moradlou and P. Salimi, Some fixed point results for (α, β) − (ψ, φ)- contractive mappings, Filomat 28 (2014), 635-647. https://doi.org/10.2298/FIL1403635AM. F. Barnsley, Fractals Everywhere, Revised with the Assistance of and with a Foreword by Hawley Rising, III. Academic Press Professional, Boston (1993).R. M. T. Bianchini, Su un problema di S. Reich riguardante la teoria dei punti fissi, Boll. Un. Mat. Ital. 5 (1972), 103-108.E. L. Fuster, A. Petrusel and J. C. Yao, Iterated function system and well-posedness, Chaos Sol. Fract. 41 (2009), 1561-1568. https://doi.org/10.1016/j.chaos.2008.06.019R. H. Haghi, Sh. Rezapour and N. Shahzad, Some fixed point generalizations are not real generalizations, Nonlinear Anal. 74 (2011), 1799-1803. https://doi.org/10.1016/j.na.2010.10.052N. Hussain, V. Parvaneh, B. Samet and C. Vetro, Some fixed point theorems for generalized contractive mappings in complete metric spaces, Fixed Point Theory Appl. 2015, 185 (2015). https://doi.org/10.1186/s13663-015-0433-zJ. E. Hutchinson, Fractals and self similarity, Indiana Univ. Math. J. 30, no. 5 (1981), 713-747. https://doi.org/10.1512/iumj.1981.30.30055M. Imdad, W. M. Alfaqih and I. A. Khan, Weak θ−contractions and some fixed point results with applications to fractal theory, Adv. Diff. Eq. 439 (2018). https://doi.org/10.1186/s13662-018-1900-8M. Jleli and B. Samet, A new generalization of the Banach contraction principle, J. Inequal. Appl. 38 (2014). https://doi.org/10.1186/1029-242X-2014-38M. Radenovic and S. Chandok, Simulation type functions and coincidence points, Filomat, 32, no. 1 (2018), 141-147. https://doi.org/10.2298/FIL1801141RB. E. Rhoades, A comparison of various definitions of contractive mappings, Trans. American Math. Soc. 226 (1977), 257-290. https://doi.org/10.1090/S0002-9947-1977-0433430-4I. A. Rus, Picard operators and applications, Sci. Math. Jpn. 58, no. 1 (2003), 191-219.I. A. Rus, A. Petrusel and G. Petrusel, Fixed Point Theory, Cluj University Press, Cluj-Napoca, 2008.N. A. Secelean, Countable Iterated Function Systems, LAP LAMBERT Academic Publishing (2013). https://doi.org/10.1186/1687-1812-2013-277N. A. Secelean, Iterated function systems consisting of F-contractions, Fixed Point Theory Appl. 2013, 277 (2013). https://doi.org/10.1186/1687-1812-2013-277V. M. Sehgal, On fixed and periodic points for a class of mappings, J. London Math. Soc. 5 (1972), 571-576. https://doi.org/10.1112/jlms/s2-5.3.571S.-A. Urziceanu, Alternative charaterizations of AGIFSs having attactors, Fixed Point Theory 20 (2019), 729-740. https://doi.org/10.24193/fpt-ro.2019.2.4

Non-self mappings under common limit range property in symmetric spaces and fixed points

In this paper, some sufficient conditions are provided for the existence of fixed points for two pairs of non-self mappings satisfying CLR property without the condition of continuity on mappings in the framework of symmetric spaces. Several interesting corollaries are also deduced. Some examples are also provided which illustrate the usability of the results obtained.Publisher's Versio

Common fixed points and invariant approximation of R-subweakly commuting maps in convex metric spaces

Sufficient conditions for the existence of a common fixed point of R-subweakly commuting mappings are established within the framework of a convex metric space. As applications, we obtain various results on the best approximation for this class of mappings generalizing the results known from the literature.Встановлено достатні умови існування спільної нерухомої точки R-субслабко комутуючих відображень у рамках опуклого метричного простору. Як застосування, одержано різні результати щодо найкращих наближень для згаданого класу відображень, які узагальнюють інші відомі з літератури результати

On fixed points in the context of b-metric spaces

In this paper, we obtain sufficient conditions for the existence of common fixed points in the framework of ordered b-metric spaces. Our results generalize some recent results in the literature. Also, to illustrate the usability of the results we give an adequate example in which b-metric is not continuous

Common fixed-point theorems for nonlinear weakly contractive mappings

Some common fixed-point results for mappings satisfying a nonlinear weak contraction condition within the framework of ordered metric spaces are obtained. The accumulated results generalize and extend several comparable results well-known from the literature.Отримано дєякі спільні теореми про нерухому точку для відображень, що задовольняють нелінійну слабкостискальну умову в рамках упорядкованих метричних просторів. Отримані результати узагальнюють та розширюють декілька порівняльних результатів, відомих із літературних джерел