Jong-Sook Bae

On Coincidence and Fixed-Point Theorems in Symmetric Spaces

We give an axiom (C.C) in symmetric spaces and investigate the relationships between (C.C) and axioms (W3), (W4), and (H.E). We give some results on coinsidence and fixed-point theorems in symmetric spaces, and also, we give some examples for the results of Imdad et al. (2006).

Common fixed point theorems for mappings satisfying property (E.A) on cone metric spaces

The aim of this paper is to give some new common fixed point theorems for mappings satisfying property (E.A) on cone metric spaces. And we prove the existence and uniqueness of solution for a ordinary differential equation with periodic boundary condition.

Fixed point theorems for multivalued maps in cone metric spaces

The aim of this article is to generalize a result which is obtained by Mizoguchi and Takahashi [J. Math. Anal. Appl. 141, 177-188 (1989)] to the case of cone metric spaces.MSC: 47H10; 54H25.

Fixed point theorems for α-Geraghty contraction type maps in metric spaces

In this paper, we introduce a notion of α-Geraghty contraction type maps in the setting of a metric space. We also establish some fixed point theorems for such maps and give an example to illustrate our results. Finally, we discuss the application of our main results in the research fields of ordinary differential equations.MSC:47H10, 54H25.

Coincidence and common fixed and periodic point theorems in cone metric spaces

The aim of this paper is to show the existence of coincidence and fixed points for mappings satisfying property (E.A) in cone metric spaces. Also, we give periodic point theorems in cone metric spaces.

Fixed point theorems for multivalued contractive mappings and multivalued Caristi type mappings in cone metric spaces

In this paper, we establish a fixed-point theorem for multivalued contractive mappings in complete cone metric spaces. We generalize Caristi’s fixed-point theorem to the case of multivalued mappings in complete cone metric spaces. We give examples to support our main results. Our results are extensions of the results obtained by Feng and Liu (J. Math. Anal. Appl. 317:103-112, 2006) to the case of cone metric spaces.MSC:47H10, 54H25.

Fixed points of weak α-contraction type maps

AbstractIn this paper, the concept of weak α-contraction type maps is introduced, and some new fixed point theorems for these maps are established. An example to illustrate the main result is given. MSC:47H10, 54H25.

FIXED POINTS AND VARIATIONAL PRINCIPLE WITH APPLICATIONS TO EQUILIBRIUM PROBLEMS ON CONE METRIC SPACES

The aim of this paper is to establish variational principle on cone metric spaces and to give some existence theorems of solutions for equilibrium problems on cone metric spaces. We give some equivalences of an existence theorem of solutions for equilibrium problems on cone metric spaces.

Fixed point theorems for α-ψ-quasi contractive mappings in metric spaces

A notion of α-ψ-quasi contractive mappings is introduced. Some new fixed point theorems for α-ψ-quasi contractive mappings are established. An application to integral equations is given.MSC:47H10, 54H25.

MULTIVALUED VERSIONS OF A BOLZANO`S THEOREM

The intermediate value theorem for a continuous real valued function is a kind of Bolzanos theorem. Similar results also hold for compact, monotone or accretive mappings in Banach spaces. In this paper we give multivalued versions of Bolzanos theorem.