Method of search functionals and its applications in fixed point and coincidence theory

DOI10.1007/s10958-024-07258-yMaRDI QIDQ6582419

Tatiana N. Fomenko

Publication date: 2 August 2024

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)

zbMATH Keywords

fixed pointscoincidence pointsexistence of zerossearch functionals

Mathematics Subject Classification ID

Connections of general topology with other structures, applications (54Hxx) Maps and general types of topological spaces defined by maps (54Cxx) Nonlinear operators and their properties (47Hxx)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Approximation of coincidence points and common fixed points of a collection of mappings of metric spaces
• Cascade search of the coincidence set of collections of multivalued mappings
• Covering mappings in metric spaces and fixed points
• Leray-Schauder type results for multivalued contractions
• Sur les opérations dans les ensembles abstraits et leur application aux équations intégrales.
• The fixed points of contractions of \(f\)-quasimetric spaces
• Cascade search for preimages and coincidences: global and local versions
• Zeros of functionals and a parametric version of Michael selection theorem
• Preservation of the existence of zeros in a family of set-valued functionals and some consequences
• Cascade search principle and its applications to the coincidence problems of \(n\) one-valued or multi-valued mappings
• The existence of zeros of multivalued functionals, coincidence points, and fixed points in \(f\)-quasimetric spaces
• $(q_1,q_2)$-квазиметрические пространства. Накрывающие отображения и точки совпадения

Related Items (1)

Zeros of a functional associated with a family of search functionals. Corollaries for coincidence and fixed points of mappings of metric spaces

This page was built for publication: Method of search functionals and its applications in fixed point and coincidence theory