Original Articles

FIXED POINT THEOREMS IN A LOCALLY CONVEX SPACE

Published in: Quaestiones Mathematicae
Volume 19 , issue 3-4 , 1996 , pages: 505–515

DOI: 10.1080/16073606.1996.9631993

Author(s): S.N. Mishra Department of Mathematics, South Africa , S.L. Singh Department of Mathematics, India

Keywords: 47H10 , 54H25

Abstract

The notion of diminishing orbital diametral sum for a pair of commuting mappings has been introduced into a Hausdorff locally convex space whose topology is generated by a family of seminorms. Subsequently, this notion is utilized to prove common fixed point theorems which generalize certain theorems of Kirk and Tan.

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