An extension of Kirk-Schöneberg theorem to uniform spaces

• Autorzy: Vasil G. Angelov , Lubomir P. Georgiev
• Języki publikacji: EN

Abstrakty

EN

An extension of Kirk - Schöneberg surjectivity result is established.

Słowa kluczowe

EN

Pseudometrically convex uniform space; open, closed and locally expansive mappings

Kategorie tematyczne

• 47H09: Contraction-type mappings, nonexpansive mappings, A -proper mappings, etc.
• 54E15: Uniform structures and generalizations

• Wydawca: Faculty of Mathematics, Computer Science and Econometrics, University of Zielona Góra
• Czasopismo: Discussiones Mathematicae, Differential Inclusions, Control and Optimization
• Rocznik: 1997
• Tom: 17
• Numer: 1-2
• Strony: 89-96

Daty

wydano

1997

otrzymano

1998-01-15

Twórcy

autor

Vasil G. Angelov

• Department of Mathematics, University of Mining and Geology, "St. I. Rilski" 1100 Sofia, Bulgaria

autor

Lubomir P. Georgiev

• Department of Mathematics, University of Mining and Geology, "St. I. Rilski" 1100 Sofia, Bulgaria

Bibliografia

• [1] W.A. Kirk, R. Schöneberg, Mapping theorem for local expansions in metric and Banach spaces, J.Math. Anal. Appl. 72 (1) (1979), 114-121.
• [2] K. Deimling, Nonlinear Functional Analysis, Springer Verlag 1985.
• [3] E. Zeidler, Nonlinear Functional Analysis and its Applications I. Fixed Points Theorems, Springer Verlag, 1993.
• [4] K. Menger, Untersuchungen über allgemeine Metrik, Math. Annalen, 100 (1928), 75-163.
• [5] W.A. Kirk, Caristi's fixed point theorem and metric convexity, Colloquium Mathematicum, 36 (1) (1976), 81-86.
• [6] A. Weil, Sur les espaces structure uniforme et sur la topologie generale, Hermann & C-ie, Ed. Paris 1938.
• [7] J. R. Isbell, Uniform spaces, AMS, Providence, Rhod Islande 1964.
• [8] J. L. Kelley, General Topology, D. van Nostrand Co., Inc. Princeton, New Jersey 1953.