Common fixed point results for multi-valued mappings in complex-valued double controlled metric spaces and their applications to the existence of solution of fractional integral inclusion systems

Pari Amiri and Hojjat Afshari

Chaos, Solitons & Fractals, 2022, vol. 154, issue C

Abstract: Our purpose in this paper is to present some common fixed point results for αC-admissible multi-valued mappings which have greatest lower bound property. By utilizing an extended contraction condition that is more generally of than other contractions that be used in this literature, we deduce some convenient results in complex-valued double controlled metric spaces. Also, we give some significant applications of these results to the existence of the solution of Riemann–Liouville and Atangana–Baleanufractional integral inclusion systems.

Keywords: Common fixed point; Multi-valued mappings; Complex-valued double controlled metric space; Riemann–Liouville fractional integral inclusions; Atangana–Baleanu fractional integral inclusions (search for similar items in EconPapers)
Date: 2022
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:154:y:2022:i:c:s0960077921009760

DOI: 10.1016/j.chaos.2021.111622

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