Best proximity point results in \(b\)-metric space and application to nonlinear fractional differential equation

DOI10.3390/math6110221OpenAlexW2898444857WikidataQ115221226 ScholiaQ115221226MaRDI QIDQ1634671

Tanzeela Kanwal, Azhar Hussain, Muhammad Adeel, Stojan Radenović

Publication date: 18 December 2018

Published in: Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3390/math6110221

zbMATH Keywords

Caputo derivative\(b\)-metric spaceSuzuki-contraction

Mathematics Subject Classification ID

Operator theory (47-XX) Real functions (26-XX)

Related Items (8)

Design of multi innovation fractional LMS algorithm for parameter estimation of input nonlinear control autoregressive systems ⋮ On existence and approximation of common fixed points in b-metric spaces ⋮ Best proximity point for generalized and \(S\)-Geraghty contractions ⋮ On the \((\alpha\text{-}\psi)\)-contractive mappings in \(C^\ast\)-algebra valued \(b\)-metric spaces and fixed point theorems ⋮ Unnamed Item ⋮ On almost \(b\)-metric spaces and related fixed point results ⋮ Best proximity results on dualistic partial metric spaces ⋮ Application of topological degree method in quantitative behavior of fractional differential equations

Cites Work

• A new approach to \((\alpha, \psi)\)-contractive nonself multivalued mappings
• Existence of fixed points for \(\Theta\)-type contraction and \(\theta\)-type Suzuki contraction in complete metric spaces
• Suzuki-type fixed point results in metric type spaces
• Edelstein-Suzuki-type fixed point results in metric and abstract metric spaces
• A new type of fixed point theorem in metric spaces
• Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
• Best proximity points for multi-valued Suzuki \(\alpha\)-\(F\)-proximal contractions
• Fixed point results for multivalued contractions on a metric space with a graph
• A new generalization of the Banach contraction principle
• Multi-valued contraction mappings
• On a broad category of multivalued weakly Picard operators
• The contraction principle for mappings on a metric space with a graph
• A generalized Banach contraction principle that characterizes metric completeness
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