A GENERALIZATION OF GREGUS FIXED POINT THEOREM

K. T. Ravindran (India) and S. K. Anoop (India)

Received May 12, 2007; Revised July 19, 2007

References:

[1] N. Adasch, B. Ernst and D. Keim, Topological vector spaces, Lecture Notes in Mathematics 639, Springer, Berlin, 1978. [2] R. Espinola and M. A. Khamsi, Introduction to hyperconvex spaces, Handbook of Metric Fixed Point Theory, W. A. Kirk and B. Sims, eds., pp. 391-435, Kluwer Academic Publishers, 2001. [3] K. Goebel and W. A. Kirk, Classical theory of nonexpansive mappings, Handbook of Metric Fixed Point Theory, W. A. Kirk and B. Sims, eds., pp. 49-91, Kluwer Academic Publishers, 2001. [4] M. Gregus, A fixed point theorem in Banach space, Boll. Un. Mat. Ital. A (5) 17(1) (1980), 193-198. [5] J. O. Olaleru, A generalisation of Gregus fixed point theorem, J. Appl. Sci. 6(15) (2006), 3160-3163. [6] J. O. Olaleru and H. Akewe, An extension of Gregus fixed point theorem, Hindawi Publishing Corporation, 2007, Article ID 78628, 8 pp.

Keywords and phrases: topological vector space, F-norm, convex set, fixed point, e-fixed point.