• The Pure and Applied Mathematics
• /
• v.31 no.3
• /
• pp.267-281
• /
• 2024

Aim is to present fixed point theorems for contractive mappings in the settings of partial metric spaces equipped with graph. To substantiate the claims and importance of newly obtained fixed point results, we present an application and non-trivial examples. In the light of an application, we ensure the existence of a solution of the linear integral equation via fixed point results. In this way, we generalize, extend and modify some important recent fixed point results of the existing literature, that is, in the settings of partial metric spaces equipped with graph.

• The Pure and Applied Mathematics
• /
• v.28 no.3
• /
• pp.253-266
• /
• 2021

In this paper, we generalize the notion of comparable set-valued mappings by introducing two types of 𝓡-closed set-valued mappings and utilize these to obtain an analogue of celebrated Mizoguchi and Takahashi fixed point theorem in relational metric spaces. To annotate the claims and usefulness of such findings, we prove fixed point results for both set-valued and single-valued mappings and validate the assertions with the help of examples. In this way, these investigations extend, modify and generalize some prominent recent fixed point results obtained by Tiammee and Suantai [24], Amini-Harandi and Emami [4], Prasad and Dimri [19] and several others in the settings of relational metric spaces.

• Journal of Advanced Navigation Technology
• /
• v.16 no.2
• /
• pp.197-203
• /
• 2012

In this paper, study the substantial issues which occurs upon free flight environment by performing separation assurance under multiple conflict(over 3 Aircraft), recovery en route under the terms of time constrains and fixed way point after the conflict avoidance, correlations between conflict detection distance and separation assurance by utilizing Autonomous flight algorithm. Result of this experiment demonstrates that the extension of detection distance is advantageous to solution of separation assurance and enhancing of flight efficiency, choose to maneuver by applying time constrain terms and fixed way point according to the situation of conflict prediction in case of recovery maneuver after the conflict avoidance. And separation assurance can be solved by applying 2 degrees or more of bank angle. When choosing the optimal bank angle could be drastically improved flight efficiency.

• Korean Journal of Mathematics
• /
• v.30 no.4
• /
• pp.571-592
• /
• 2022

By established a Banach space with the Hausdorff distance, we introduce the alternative fixed-point theorem to explore the existence and uniqueness of a fixed subset of Y and investigate the stability of set-valued Euler-Lagrange functional equations in this space. Some properties of the Hausdorff distance are furthermore explored by a short and simple way.

• Bulletin of the Korean Mathematical Society
• /
• v.37 no.1
• /
• pp.21-36
• /
• 2000

In this article we study the relation between subinvariant submean and normal structure in a locally convex topological vector space. This extends in a natural way a result obtained recently by Lau and Takahashi. Our approach also follows closely theirs.

• ETRI Journal
• /
• v.33 no.5
• /
• pp.689-694
• /
• 2011

In this paper, we study scheduling schemes for two-user two-way wireless relaying systems. Two transmission modes are considered: point-to-point direct transmission and two-way amplify-and-forward relaying. An optimal scheduling scheme that opportunistically selects the best transmission mode for each user is proposed to minimize the sum bit error rate (BER). The performance lower bound of the optimal scheduling scheme is analyzed, and closed-form expression of the lower-bound BER is derived. However, for optimal scheduling, the scheduler requires the knowledge of channel state information (CSI) of all links. To reduce the feedback information of CSI, we also propose a suboptimal scheduling scheme that selects the transmission mode using only the CSI of two direct links. Simulation results show that there are 4 dB to 8 dB gains for the proposed optimal and suboptimal schemes over the fixed direct transmission and fixed two-way relayed transmission scheme. The performance gap between the optimal and suboptimal scheduling schemes is small, which implies a good trade-off between implementation complexity and system performance.

• Nonlinear Functional Analysis and Applications
• /
• v.26 no.3
• /
• pp.451-474
• /
• 2021

In this paper, we investigate a hybrid algorithm for finding zeros of the sum of maximal monotone operators and Lipschitz continuous monotone operators which is also a common fixed point problem for finite family of relatively quasi-nonexpansive mappings and split feasibility problem in uniformly convex real Banach spaces which are also uniformly smooth. The iterative algorithm employed in this paper is design in such a way that it does not require prior knowledge of operator norm. We prove a strong convergence result for approximating the solutions of the aforementioned problems and give applications of our main result to minimization problem and convexly constrained linear inverse problem.

• The KIPS Transactions:PartA
• /
• v.16A no.3
• /
• pp.159-168
• /
• 2009

In this paper, we present an efficient way of implementing OpenGL ES 1.1 standard for the environments with hardware-supported OpenGL API, such as desktop PCs. Although OpenGL ES was started from the existing OpenGL features, it becomes a new three-dimensional graphics library customized for embedded systems through introducing fixed-point arithmetic operations, buffer management with fixed-point data type supports, completely new texture mapping functionalities and others. Currently, it is the official three dimensional graphics library for Google Android, Apple iPhone, PlayStation3, etc. In this paper, we achieved improvements on the arithmetic operations for the fixed-point number representation, which is the most characteristic data type for OpenGL ES. For the conversion of fixed-point data types to the floating-point number representations for the underlying OpenGL, we show the way of efficient conversion processes even with satisfying OpenGL ES standard requirements. We also introduced a simple memory management scheme to mange the converted data for the buffer containing fixed-point numbers. In the case of texture processing, the requirements in both standards are quite different and thus we used completely new software-implementations. Our final implementation result of OpenGL ES library provides all of over than 200 functions in OpenGL ES 1.1 standard and completely passed its conformance test, to show its compliance with the standard. From the efficiency viewpoint, we measured its execution times for several OpenGL ES-specific application programs and achieved at most 33.147 times improvements, to become the fastest one among the OpenGL ES implementations in the same category.

• Communications of the Korean Mathematical Society
• /
• v.31 no.4
• /
• pp.729-743
• /
• 2016

In the current work, the intuitionistic fuzzy version of Hyers-Ulam stability for a nonic functional equation by applying a fixed point method is investigated. This way shows that some fixed points of a suitable operator can be a nonic mapping.

• The Research Journal of the Costume Culture
• /
• v.9 no.6
• /
• pp.893-907
• /
• 2001

The main purpose is to study the effects of princess lines on different body types and to disguise any imperfection by using diverse princess lines. We separated testers body shapes into specific body types, H, Y by applying both the direct and the indirect measurements. These designs were evaluated by using the point ranking system method, and then average scores were obtained from these evaluations. Following are the results of the study: 1 These are the resulting illusion effects when the shoulder width of the Princess line was fixed. When the Princess line originated from 1/3 point of the armhole, body types Y appeared to show narrow waist width. A-line silhouette appeared to display the narrowest shoulder width. When the Princess line originated from 2/3 point of the armhole, body types H and Y appeared to exhibit narrowest waist widths, and the A-line silhouette once again displayed the narrowest shoulder width. When the Princess line originated from 1/2 point of the armhole, body type H appeared to exhibit narrow width; and H-line silhouette displayed the narrowest shoulder width 2. When the Princess lines waist w'4th was fixed in order to study illusion effects of waist widths. In this experiment, locations of Princess lines and widths of the skirt were varied. When the waist width was fixed at 6.5 cm, For the H body type, the Princess line location of 1/3 point of the armhole in H-line silhouette design exhibited the narrowest waist width. For the Y body type in A-line silhouette design, the Princess line locations of 1/3 and 1/2 points of the armhole exhibited the narrowest waist width because it displayed the hourglass effect. When the waist width was fixed at 10 cm, H body type did not exhibit any significant differences between designs. For Y body type, A-line silhouette design with the Princess line origination point at 1/3 down the armhole exhibited the narrowest waist width. 3. The illusion effects of the hip were studied by fixating the width of the skirt and varying the locations of Princess line and waist widths. In H-line skirt silhouette designs, all two body types exhibited narrow hips when the Princess line origination points were at 1/3 and 1/2 way down the armhole. For A-line skirt silhouette, H body type exhibited narrow hips when narrow waist design with the Princess line originating from 1/2 point in the shoulder was shown. Y body type exhibited narrow hips when narrow waist design with the Princess line originating from 1/3 point of the armhole and 2/3 point of the shoulder. 4. With both waist and skirt widths fixed, all two body types exhibited taller and slender postures when the Princess line originated from the shoulder compare to the armhole.