Extensions of almost-\(F\) and \(F\)-Suzuki contractions with graph and some applications to fractional calculus

DOI10.1186/s13663-015-0480-5zbMath1429.54045OpenAlexW2231916518WikidataQ59306873 ScholiaQ59306873MaRDI QIDQ288314

Dhananjay Gopal, Poom Kumam, Lokesh Budhia Budhia, Juan Martínez Moreno

Publication date: 25 May 2016

Published in: Fixed Point Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13663-015-0480-5

zbMATH Keywords

fixed pointnonlinear fractional differential equation\(F\)-Suzuki contractionalmost-\(F\)-contraction

Mathematics Subject Classification ID

Complete metric spaces (54E50) Fixed-point and coincidence theorems (topological aspects) (54H25) Special maps on metric spaces (54E40) Fractional ordinary differential equations (34A08)

Related Items (5)

Developments of some new results that weaken certain conditions of fractional type differential equations ⋮ Some applications of fixed point results for generalized two classes of Boyd-Wong's \(F\)-contraction in partial \(b\)-metric spaces ⋮ A new generalization of $\alpha$-type almost-$F$-contractions and $\alpha$-type $F$-Suzuki contractions in metric spaces and their fixed point theorems ⋮ New existence of fixed point results in generalized pseudodistance functions with its application to differential equations ⋮ FIXED POINT THEOREMS FOR MULTIVALUED NON-LINEAR <i>F</i>-CONTRACTIONS ON QUASI METRIC SPACES WITH AN APPLICATION

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