Common fixed point theorems for multivalued mappings via cone-valued measure of noncompactness



	Common fixed point theorems for multivalued mappings via cone-valued measure of noncompactness


	Fixed Point Theory, Volume 23, No. 2, 2022, 729-740, June 15th, 2022 DOI: 10.24193/fpt-ro.2022.2.18 Authors: Vo Viet Tri and Donal O'Regan Abstract: We obtain common fixed point theorems for a pair of condensing multivalued mappings with respect to a cone-valued measure of noncompactness under a semi-weakly isotone condition, and we apply it to the system of multivalued differential equations with deviating argument of the form x'(t) ∈ f[t, x(t), x(h(t))] and (0.1) x'(t) ∈ g[t, x(t), x(h(t))], x(0) = x₀, t ∈ [0, b]. (0.2) Key Words and Phrases: Multivalued equations, common fixed point, measure of noncompactness, semi-weakly isotone, condensing mutivalued mapping. 2010 Mathematics Subject Classification: 47H10, 54H25. Published on-line: June 15th, 2022. Abstract pdf Fulltext pdf Back to volume's table of contents