• Journal of the Korean Mathematical Society
• /
• v.55 no.1
• /
• pp.73-82
• /
• 2018

In this article we consider certain types of nonlinear matrix equations including the stochastic rational Riccati equation and show the existence and uniqueness of the positive definite solution by using Bhaskar-Lakshmikantham's coupled fixed point theorem.

• Communications of the Korean Mathematical Society
• /
• v.24 no.2
• /
• pp.247-263
• /
• 2009

In this paper we use degree and index theory to present new applicable fixed point theory for permissible maps.

• Journal of the Korean Mathematical Society
• /
• v.36 no.6
• /
• pp.1169-1180
• /
• 1999

Two-point comparison theorems between hyperbolic and euclidean geometry for convex regions in the complex plane are known([5], [6]). We give new geometric proofs of sharp two-point comparison theorems for convex regions.

• Journal of the Chungcheong Mathematical Society
• /
• v.22 no.4
• /
• pp.645-652
• /
• 2009

In this paper, we give a generalized contractive type condition for a pair of multivalued mappings and analyze the existence of common fixed point for these mappings.

• Journal of applied mathematics & informatics
• /
• v.15 no.1_2
• /
• pp.227-235
• /
• 2004

In this paper we consider the dual problems for multiobjective programming with generalized convex functions. We obtain the weak duality and the strong duality. At last, we give an equivalent relationship between saddle point and efficient solution in multiobjective programming.

• The Pure and Applied Mathematics
• /
• v.11 no.4
• /
• pp.267-274
• /
• 2004

A related fixed point theorem for set valued mappings on two complete metric spaces is obtained.

• Bulletin of the Korean Mathematical Society
• /
• v.42 no.2
• /
• pp.307-313
• /
• 2005

The Lefschetz fixed point theorem is extended to compact continuous maps defined on an admissible subset of a Hausdorff topological space.

• Journal of the Korean Mathematical Society
• /
• v.33 no.1
• /
• pp.39-46
• /
• 1996

Let $\alpha > 0$ and $\zeta$ be a point on the unit circle $T= {$\mid$z$\mid$ = 1}$ of the complex plane C.

• Communications of the Korean Mathematical Society
• /
• v.15 no.4
• /
• pp.627-640
• /
• 2000

In this paper, we shall prove a fixed point theorem which is more general than that of Ciric, Kannan and Rhoades.

• Journal of the Chungcheong Mathematical Society
• /
• v.14 no.1
• /
• pp.105-111
• /
• 2001

The purpose of this paper is to give a new generalization of the well-known common fixed point theorem due to Markov-Kakutani in general settings.