Multivalued weakly Picard operators via simulation functions with application to functional equations

DOI10.3934/math.2021127OpenAlexW3112056458MaRDI QIDQ2146591

Habib ur Rehman, Saman Yaqoob, Azhar Hussain, Thabet Abdeljawad

Publication date: 17 June 2022

Published in: AIMS Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/math.2021127

zbMATH Keywords

functional equationdynamical systemdata dependencemultivalued Picard operator\(\mathcal{Z}\)-contraction

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Fixed points and coincidences in algebraic topology (55M20)

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Cites Work

• Coincidence point theorems on metric spaces via simulation functions
• Weakly (\(s, \, r\))-contractive multi-valued operators
• A new type of contractive multivalued operators
• Second-order integro-differential parabolic variational inequalities arising from the valuation of American option
• On equivalence of generalized multi-valued contractions and Nadler's fixed point theorem
• Multi-valued contraction mappings
• On a broad category of multivalued weakly Picard operators
• Some theorems for a new type of multivalued contractivemaps on metric space
• Simulation type functions and coincidence points
• A new perspective for multivalued weakly Picard operators
• A new approach to the study of fixed point theory for simulation functions
• Fixed points results via simulation functions
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