• Journal of applied mathematics & informatics
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• 제20권1_2호
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• pp.369-389
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• 2006

The iterative algorithms with errors for solutions to accretive operator inclusions are investigated in Banach spaces, including a modification of Rockafellar's proximal point algorithm. Some applications are given in Hilbert spaces. Our results improve the corresponding results in [1, 15-17, 29, 35].

• 대한수학회보
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• 제43권4호
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• pp.771-790
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• 2006

The iterative algorithms with errors for nonexpansive mappings are investigated in Banach spaces. Strong convergence theorems for these algorithms are obtained. Our results improve the corresponding results in [5, 13-15, 23, 27-29, 32] as well as those in [1, 16, 19, 26] in framework of a Hilbert space.

• 대한수학회논문집
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• 제31권1호
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• pp.147-161
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• 2016

In this paper, we study the strong convergence and stability of a new two step random iterative scheme with errors for accretive Lipschitzian mapping in real Banach spaces. The new iterative scheme is more acceptable because of much better convergence rate and less restrictions on parameters as compared to random Ishikawa iterative scheme with errors. We support our analytic proofs by providing numerical examples. Applications of random iterative schemes with errors to variational inequality are also given. Our results improve and establish random generalization of results obtained by Chang [4], Zhang [31] and many others.

• Korean Journal of Mathematics
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• 제24권2호
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• pp.181-198
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• 2016

In this work, we suggest a new system of generalized nonlinear regularized nonconvex variational inequalities in a real Hilbert space and establish an equivalence relation between this system and fixed point problems. By using the equivalence relation we suggest a new perturbed projection iterative algorithms with mixed errors for finding a solution set of system of generalized nonlinear regularized nonconvex variational inequalities.

• 대한수학회논문집
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• 제28권2호
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• pp.243-267
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• 2013

This paper is dedicated to study a new class of general nonlinear random A-maximal $m$-relaxed ${\eta}$-accretive (so called (A, ${\eta}$)-accretive [49]) equations with random relaxed cocoercive mappings and random fuzzy mappings in $q$-uniformly smooth Banach spaces. By utilizing the resolvent operator technique for A-maximal $m$-relaxed ${\eta}$-accretive mappings due to Lan et al. and Chang's lemma [13], some new iterative algorithms with mixed errors for finding the approximate solutions of the aforesaid class of nonlinear random equations are constructed. The convergence analysis of the proposed iterative algorithms under some suitable conditions are also studied.

• East Asian mathematical journal
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• 제25권2호
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• pp.141-146
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• 2009

In this paper, we introduce a new generalized nonlinear quasivariational inequality and establish its equivalence with a xed point problem by using the resolvent operator technique. Utilizing this equivalence, we suggest two iterative schemes, prove two existence theorems of solutions for the generalized nonlinear quasivariational inequality involving generalized cocoercive mapping and establish some convergence results of the sequences generated by the algorithms. Our results include several previously known results as special cases.

• 대한수학회지
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• 제44권4호
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• pp.823-834
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• 2007

We introduce a new system of generalized nonlinear mixed quasivariational inequalities and prove the existence and uniqueness of the solution for the system in Hilbert spaces. The main result of this paper is an extension and improvement of the well-known corresponding results in Kim-Kim [16], Noor [21]-[23] and Verma [24]-[26].

• Journal of Positioning, Navigation, and Timing
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• 제6권3호
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• pp.105-116
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• 2017

Several wireless localization algorithms are evaluated for the IR-UWB-based indoor location with the assumption that the ranging measurements contain the channelwise Non-Calibration Error (NCE). The localization algorithms can be divided into the Model-free Localization (MfL) methods and Model-based Kalman Filtering (MbKF). The algorithms covered in this paper include Iterative Least Squares (ILS), Direct Solution (DS), Difference of Squared Ranging Measurements (DSRM), and ILS-Common (ILS-C) methods for the MfL methods, and Extended Kalman Filter (EKF), EKF-Each Channel (EKF-EC), EKF-C, Cubature Kalman Filter (CKF), and CKF-C for the MbKF. Experimental results show that the DSRM method has better accuracy than the other MfL methods. Also, it demands smallest computation time. On the other hand, the EKF-C and CKF-C require some more computation time than the DSRM method. The accuracy of the EKF-C and CKF-C is, however, best among the 9 methods. When comparing the EKF-C and CKF-C, the CKF-C can be easily used. Finally, it is concluded that the CKF-C can be widely used because of its ease of use as well as it accuracy.

• 대한원격탐사학회지
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• 제34권6_1호
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• pp.1143-1153
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• 2018

TOPS InSAR 처리를 위해서는 고정밀도의 영상정합이 요구된다. Sentinel-1 TOPS 모드영상에 교차상관 영상정합, 기하정합, Spectral Diversity 정합에 기반 한 Enhanced Spectral Diversity 정합 알고리즘 성능 비교분석을 통해 TOPS모드에 적합한 영상정합 방법을 제시하고자 한다. 25개의 Sentinel-1 TOPS 영상으로부터 생성된 23개의 간섭쌍을 이용하여, 교차상관정합(CC), 기하보정(GC1), 기하보정 후 교차상관정합(GC2, GC3, GC4) 그리고 ESD를 이용한 정합(ESD_GC, ESD_1, ESD_2) 총 8가지 방법을 적용하였다. 교차상관정합과 기하정합에 따른 azimuth 방향 정합오차를 평균한 결과는 각각 0.0041 화소, 0.0016 화소이다. 비록 ESD 방법은 azimuth 정합오차가 0.0005 화소 이하로 가장 정확한 결과를 보이지만, 기하정합 결과는 추가적인 교차상관정합을 통한 반복 과정을 통해 0.001 화소 정도로 오차가 감소하였다. ESD 방법은 burst 중첩지역의 긴밀도가 낮은 경우 적용이 불가능하다. 따라서 반복 적용을 통한 기하정합 방법은 다수의 SAR 자료를 이용한 시계열 분석 또는 긴 시간간격을 갖는 간섭도 생성을 위해서 적합한 대안이 된다.