• Communications of the Korean Mathematical Society
• /
• v.31 no.1
• /
• pp.139-145
• /
• 2016

In this paper, some new fixed point theorems for condensing mappings are established based on a well known result of Petryshyn. We use several Leray-Schauder type conditions to prove new fixed point results. We also obtain generalizations of Altman's theorem and Petryshyn's theorem as well.

• Kyungpook Mathematical Journal
• /
• v.48 no.3
• /
• pp.367-377
• /
• 2008

In this paper, we give some fixed point theorems for multivalued maps satisfying an implicit relation on metrically convex spaces. Our results extend and generalize some fixed point theorem in the literature.

• Communications of the Korean Mathematical Society
• /
• v.32 no.1
• /
• pp.65-74
• /
• 2017

In this paper, we establish a unique common fixed point theorem for T-contraction of two self maps on generalized cone b-metric spaces with solid cone. The result of this paper improves and generalizes several well-known results in the literature. Two examples are also given to support the result.

• Journal of the Korean Mathematical Society
• /
• v.39 no.1
• /
• pp.51-60
• /
• 2002

Some random fixed point theorems for nonexpansive and *-nonexpansive random operators defined on convex and star-shaped sets in a Frechet space are proved. Our work extends recent results of Beg and Shahzad and Tan and Yaun to noncontinuous multivalued random operators, sets analogue to an earlier result of Itoh and provides a random version of a deterministic fixed point theorem due to Singh and Chen.

• Bulletin of the Korean Mathematical Society
• /
• v.49 no.4
• /
• pp.815-827
• /
• 2012

The existence of $n$ positive solutions is established for second order multi-point boundary value problem at resonance where $n$ is an arbitrary natural number. The proof is based on a theory of fixed point index for A-proper semilinear operators defined on cones due to Cremins.

• Bulletin of the Korean Mathematical Society
• /
• v.45 no.1
• /
• pp.67-73
• /
• 2008

The purpose of this paper is to present some fixed point results for nonself multivalued operators on a set with two metrics. In addition, a homotopy result for multivalued operators on a set with two metrics is given. The data dependence and the well-posedness of the fixed point problem are also discussed.

• Proceedings of the KIEE Conference
• /
• 1999.11c
• /
• pp.788-790
• /
• 1999

A software implementation of floating-point addition and multiplication is presented. For this, the ANSI/IEEE standard for binary floating-point arithmetic is reviewed briefly. The architecture and behavior of the $Intel^{(R)}\;80{\times}87$ FPU is fully studied and basic algorithms for floating-point addition and multiplication are used for the implementation. Some examples and their verifications are also presented.

• Proceedings of the KIEE Conference
• /
• 2005.07a
• /
• pp.852-854
• /
• 2005

This paper proposes a new Interior Point Method algorithm to improve the computation speed and solution stability, which have been challenging problems for employing the nonlinear Optimal Power Flow. The proposed algorithm is different from the traditional Interior Point Methods in that it adopts the Predictor-Corrector Method. It also accommodates the five minute dispatch, which is highly recommended in modern electricity market. Finally, the efficiency and applicability of the proposed algorithm is demonstrated with a case study.

• Communications for Statistical Applications and Methods
• /
• v.6 no.2
• /
• pp.467-478
• /
• 1999

This paper deals with the problem of change-point estimation where there is one level change in location with iid errors. A change-point estimator using rank average is proposed with the proof of its consistency. A comparison study of various change-point estimators is done by simulation on the mean the proportion and the variance when the errors are from the normal and the double exponential distributions.

• Journal of the Korean Statistical Society
• /
• v.35 no.1
• /
• pp.1-23
• /
• 2006

In this paper we consider an estimation of the discontinuous variance function in nonparametric heteroscedastic random design regression model. We first propose estimators of the change point in the variance function and then construct an estimator of the entire variance function. We examine the rates of convergence of these estimators and give results for their asymptotics. Numerical work reveals that using the proposed change point analysis in the variance function estimation is quite effective.