Wt0-distance and best proximity points involving b-simulation functions

DOI10.2298/pim2327067kOpenAlexW4379799868MaRDI QIDQ6096886

Ghasem Soleimani Rad, Aleksandar Kostić, Hamidreza Rahimi

Publication date: 15 September 2023

Published in: Publications de l'Institut Math?matique (Belgrade) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2298/pim2327067k

zbMATH Keywords

best proximity point\(b\)-metric space\(b\)-simulation function\(wt_0\)-distance

Mathematics Subject Classification ID

Nonlinear programming (90C30) Complete metric spaces (54E50) Fixed-point theorems (47H10) Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65) Uniqueness of best approximation (41A52)

Cites Work

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• Best approximation and variational inequality problems involving a simulation function
• Best proximity point results in partially ordered metric spaces via simulation functions
• Coincidence point theorems on metric spaces via simulation functions
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• On the topology and \(wt\)-distance on metric type spaces
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• Existence and uniqueness for a first-order periodic differential problem via fixed point results
• Fixed Point Results on $b$-Metric Space via Picard Sequences and $b$-Simulation Functions
• Fixed point theorems for simulation functions in $\mbox{b}$-metric spaces via the $wt$-distance
• Nonlinear contractions involving simulation functions in a metric space with a partial order
• Contractive mappings, Kannan mappings and metric completeness
• A new approach to the study of fixed point theory for simulation functions

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