Fixed Point Theorems for Set-Valued Mappings on TVS-Cone Metric Spaces

2015/08/20 by Fierro, Raúl
#FOS: Mathematics #General Topology (math.GN) #Primary 47H10 #Secondary 47H04

paper · doi:10.48550/arxiv.1508.04962

Abstract

In the context of tvs-cone metric spaces, we prove a Bishop-Phelps and a Caristi's type theorem. These results allow us to prove a fixed point theorem for (δ, L)-weak contraction according to a pseudo Hausdorff metric defined by means of a cone metric.

Related

• TVS-cone metric spaces as a special case of metric spaces
• About nonlinear contractive conditions on cone metric spaces
• Fixed Point Theorems for Multivalued Weak Contractions in Cone Metric Spaces
• On Some Topological Concepts of TVS-Cone Metric Spaces and Fixed Point Theory Remarks
• Fixed Point Theorems in Partial Cone Metric Spaces