Common fixed point theorems for generalized non-expansive semi-topological semigroups in locally convex spaces


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	Common fixed point theorems for generalized non-expansive semi-topological semigroups in locally convex spaces


	Fixed Point Theory, Volume 18, No. 2, 2017, 709-720, June 1st, 2017 DOI: 10.24193/fpt-ro.2017.2.57 Authors: Tamer Nabil and Ahmed H. Soliman Abstract: In this paper, we shall be concerned with a special kind of equicontinuous semi-topological semigroups of self-mappings on a weakly compact convex subset of a separated locally convex space, namely, the generalized non-expansive mappings and we shall introduce some common fixed point results for this kind of semigroups. Also, we study a characterization of the existence of a left invariant mean on almost and weakly almost periodic functions on separable semi-topological semigroups. Our results extend the results due to Lau and Zhang [17] and Lau [13]. Key Words and Phrases: Fixed point property, non-expansive mapping, generalized non-expansive mapping, weakly compact convex set, eakly almost periodic, reversible semigroup, invariant mean. 2010 Mathematics Subject Classification: 47H10, 47H20, 43A07. Published on-line: June 1st, 2017. Abstract pdf Fulltext pdf Back to volume's table of contents