Common fixed point theorems for a finite family of multivalued mappings in an ordered Banach space

Abstract

Abstract In this paper, we prove some common fixed point theorems for a finite family of multivalued and single-valued mappings operating on ordered Banach spaces. Our results extend and generalize many results in the literature on fixed point theory and lead to existence theorems for a system of integral inclusions.

Keywords

• Condensing mapping
• Common fixed point
• Integral inclusion
• Isotone mapping
• Measure of noncompactness
• Ordered Banach space