Fixed points for singlevalued operators with respect to w-distance

Guran, Liliana (2007): Fixed points for singlevalued operators with respect to w-distance. Published in: Annals of University Constantin Brancusi , Vol. 1, no2, No. 1842-4856 (2007): pp. 277-280.

Abstract

In this paper we first recall the concept of w-distance on a metric space. Then, we prove a fixed point theorem for singlevalued operators in terms of a w-distance.

• Item Type: MPRA Paper
• Language: English
• Keywords: fixed point, w-distance, singlevalued operator.
• Subjects: C - Mathematical and Quantitative Methods > C0 - General; C - Mathematical and Quantitative Methods > C0 - General > C02 - Mathematical Methods

References

[1] O. Kada, T. Suzuki, W. Takahashi, Nonconvex minimization theorems and fixed points theorems in complete metric space, Math. Japonicae, 44(1996),381-391.

[2] T. Suzuki, Generalized distance and existence theorems in complete metric spaces, J. Math. Anal. Appl., 253(2001), 440-458.

[3] T. Suzuki, W. Takahashi, Fixed points theorems and characterizations of metric completeness, Topological Methods in Nonlinear Analysis, Journal of Juliusz Schauder Center, 8(1996), 371-382.

[4] J. S. Ume, Fixed point theorems related to ´ Ciri´c contraction principle, J.M.A.A., 255(1998), 630-640.