Fixed point theory for multivalued \({\phi}\)-contractions

DOI10.1186/1687-1812-2011-50zbMath1315.47041OpenAlexW2072568712WikidataQ59268873 ScholiaQ59268873MaRDI QIDQ362614

Vasile L. Lazăr

Publication date: 22 August 2013

Published in: Fixed Point Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/1687-1812-2011-50

zbMATH Keywords

fixed pointmultivalued operatorperiodic pointdata dependencesuccessive approximationsUlam-Hyers stabilityweakly Picard operatorPicard operatorfractal operatorlimit shadowing propertymultivalued Picard operatormultivalued weakly Picard operatorsequence of operatorsset-to-set operatorstrict fixed pointstrict periodic point

Mathematics Subject Classification ID

Attractors and repellers of smooth dynamical systems and their topological structure (37C70) Fixed-point theorems (47H10) Set-valued operators (47H04) Fixed-point and coincidence theorems (topological aspects) (54H25) Approximate trajectories (pseudotrajectories, shadowing, etc.) in smooth dynamics (37C50) Perturbations of nonlinear operators (47H14)

Related Items (9)

Ulam stability for Hilfer type fractional differential inclusions via the weakly Picard operators theory ⋮ On fixed points of \({\alpha}\)-\({\psi}\)-contractive multifunctions ⋮ Existence and stability of solutions of \(\psi\)-Hilfer fractional functional differential inclusions with non-instantaneous impulses ⋮ Some variants of Ćirić's multi-valued contraction principle ⋮ A general class of noninstantaneous impulsive fractional differential inclusions in Banach spaces ⋮ The Reich-Zaslavski property and fixed points of non-self multivalued mappings ⋮ Fixed points for multivalued contractions with respect to a Pompeiu type metric ⋮ OCCURRENCE OF STABLE ROUGH FRACTIONAL INTEGRAL INCLUSION ⋮ Fixed points, fixed sets and iterated multifunction systems for nonself multivalued operators

Cites Work

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