Best Proximity point for Z-contraction and Suzuki type Z-contraction mappings with an application to fractional calculus

DOI10.4995/agt.2016.5660zbMath1351.54025OpenAlexW2529332363WikidataQ59306869 ScholiaQ59306869MaRDI QIDQ2825451

Somayya Komal, Dhananjay Gopal, Poom Kumam

Publication date: 13 October 2016

Published in: Applied General Topology (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4995/agt.2016.5660

zbMATH Keywords

functional differential equationbest proximity pointweak \(P\)-propertySuzuki type \(\mathcal{Z}\)-contraction

Mathematics Subject Classification ID

Fixed-point and coincidence theorems (topological aspects) (54H25) Fractional ordinary differential equations (34A08)

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Cites Work

• Unnamed Item
• Common fixed point theorems under \((R,\mathcal{S})\)-contractivity conditions
• Coupled best proximity point theorem in metric spaces
• Global optimal solutions of noncyclic mappings in metric spaces
• A best proximity point theorem for weakly contractive non-self-mappings
• Best proximity points: Global optimal approximate solutions
• Best proximity point theorems generalizing the contraction principle
• Common best proximity points: global minimization of multi-objective functions
• Existence and uniqueness for a nonlinear fractional differential equation
• Generalized cyclic contractions in partially ordered metric spaces
• Best proximity points: approximation and optimization
• New fixed point theorem under \(R\)-contractions
• Extensions of two fixed point theorems of F. E. Browder
• Fixed point results on metric and partial metric spaces via simulation functions
• Nonlinear contractions involving simulation functions in a metric space with a partial order
• Extensions of Banach's Contraction Principle
• A generalized Banach contraction principle that characterizes metric completeness