On Random Approximations and a Random Fixed Point Theorem for Set Valued Mappings

DOI10.2307/2045580zbMath0607.47057OpenAlexW4247491422MaRDI QIDQ3746385

S. P. Singh, V. M. Sehgal

Publication date: 1985

Full work available at URL: https://doi.org/10.2307/2045580

zbMATH Keywords

selectionrandom fixed point result for set-valued mappings with compact convex values

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Fixed-point and coincidence theorems (topological aspects) (54H25) Random operators and equations (aspects of stochastic analysis) (60H25)

Related Items

Some random fixed point theorems for nonlinear mappings ⋮ Multivalued and random version of Perov fixed point theorem in generalized gauge spaces ⋮ Best approximation and fixed-point theorems for discontinuous increasing maps in Banach lattices ⋮ The best approximation theorems and variational inequalities for discontinuous mappings in Banach spaces ⋮ Random fixed point theorems for a certain class of mappings in banach spaces ⋮ Approximation of *-nonexpansive random multivalued operators on Banach spaces ⋮ Random fixed point theorems for random mappings ⋮ Common random fixed points of compatible random operators ⋮ Random fixed points of random multivalued operators on polish spaces ⋮ Some random approximations and random fixed point theorems for 1-set-contractive random operators ⋮ Random fixed point theorems for Ciric quasi contraction in cone random metric spaces ⋮ Random fixed points of set-valued operators ⋮ On random approximation and coincidence point theorems for multivalued operators ⋮ Random fixed point theorems for nonself mappings ⋮ New results in the theory of multivalued mappings. I: Topological characteristics and solvability of operator relations ⋮ Random fixed point theorems for nonlinear uniformly lipschitzian mappings ⋮ Convergence of iterative algorithms to common random fixed points of random operators ⋮ On Deterministic and Random Fixed Points ⋮ On random coincidence and fixed points for a pair of multivalued and single-valued mappings ⋮ Approximation theorems and fixed point theorems for multivalued condensing mappings in wedges ⋮ Random fixed point theorem of Krasnoselskii type for the sum of two operators ⋮ Carathéodory selections for multivalued mappings ⋮ Random fixed point theorems and applications to random first-order vector-valued differential equations ⋮ Random approximations and random fixed point theorems for random 1-setn-contractive non-self-maps in abstract cones ⋮ Some Random Fixed Point Theorems for Condensing and Nonexpansive Operators ⋮ Some common random fixed point theorems for contractive type conditions in cone random metric spaces ⋮ A principle of randomization for coincidence points with applications ⋮ Random fixed points of discontinuous random maps ⋮ Measurability of fixed point sets of multivalued random operators ⋮ Random fixed points of 1-set contractive random maps in Fréchet spaces ⋮ A random coincidence point theorem ⋮ Random fixed points for several classes of 1-ball-contractive and 1-set-contractive random maps ⋮ Some random approximation theorems with applications ⋮ Random Approximations and Random Fixed Point Theorems for Non-Self-Maps

Cites Work

• Unnamed Item
• Random fixed point theorems with an application to random differential equations in Banach spaces
• Fixed points in locally convex spaces
• Measurable relations
• Fixed point theorems in probabilistic analysis