Fixed point theorems for generalized set-contraction maps and their applications

DOI10.1016/J.NA.2009.11.033zbMath1225.54012OpenAlexW2019423512MaRDI QIDQ847340

Alireza Amini-Harandi, Jafar Zafarani, Majid Fakhar

Publication date: 12 February 2010

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2009.11.033

Mathematics Subject Classification ID

Fixed-point and coincidence theorems (topological aspects) (54H25) Topology of special sets defined by functions (54C50) Measures of noncompactness and condensing mappings, (K)-set contractions, etc. (47H08)

Related Items (4)

The Lefschetz fixed point theorem and its application to asymptotic fixed point theorem for set-valued mappings ⋮ Set contractions and KKM mappings in Banach spaces ⋮ Some asymptotic stationary point theorems in topological spaces ⋮ Unnamed Item

Cites Work

• KKM property and fixed point theorems in metric spaces
• Fixed point theorems for the class S-KKM mappings in abstract convex spaces
• Measures of noncompactness and condensing operators. Transl. from the Russian by A. Iacob
• Theory of functional differential equations. 2nd ed
• KKM and Ky Fan theorems in hyperconvex metric spaces
• KKM mappings in metric spaces
• KKM property and fixed point theorems
• Sadovskii's fixed point theorem without convexity
• Diametrically contractive multivalued mappings
• The fixed point index for local condensing maps
• Punti uniti in trasformazioni a codominio non compatto
• On uniformly Lipschitzian multivalued mappings in Banach and metric spaces
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