Applications of fixed point technique in solving certain dynamic programming and variational inequalities

DOI10.1016/J.NA.2005.03.033zbMath1159.90505OpenAlexW2127580191MaRDI QIDQ999525

J. Martínez

Publication date: 4 February 2009

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.2005.03.033

zbMATH Keywords

upper semicontinuous functioncompatible functions\((\epsilon, \gamma, \Phi )(p, q)\) contraction\(\delta \)-compatibilityweakly compatible functionsweakly compatible functions of type \((T)\) and type \((I)\)

Mathematics Subject Classification ID

Variational inequalities (49J40) Dynamic programming (90C39) Fixed-point theorems (47H10)

Related Items (3)

Solvability and iterative approximations for a functional equation ⋮ A comparison of various noncommuting conditions in metric fixed point theory and their applications ⋮ F-contractions of Hardy–Rogers-type and application to multistage decision

Cites Work

• Some fixed point theorems for compatible maps
• Some existence theorems for functional equations arising in dynamic programming
• Functional equations in dynamic programming
• Fixed points for set valued functions without continuity
• Applications of fixed-point methods to discrete variational and quasi- variational inequalities
• Fixed Points Via "Biased Maps"
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