A generalization of Nadler's fixed point theorem and its application

zbMath1326.47055MaRDI QIDQ367301

Naseer Shahzad, Hemant Kumar Pathak

Publication date: 26 September 2013

Published in: Topological Methods in Nonlinear Analysis (Search for Journal in Brave)

zbMATH Keywords

\(\sigma\)-algebraOpial's condition\(H^+\)-type multi-valued nonexpansive mappingBochner integrable functionsdemiclosed mapping

Mathematics Subject Classification ID

Semigroups of nonlinear operators (47H20) Transformation groups and semigroups (topological aspects) (54H15) Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) Fixed-point theorems (47H10) Fixed-point and coincidence theorems (topological aspects) (54H25) Integro-differential operators (47G20)

Related Items (13)

Unnamed Item ⋮ \(\mathcal {H}^+\)-multivalued contractions and their application to homotopy theory ⋮ Fixed point theorems of enriched multivalued mappings via sequentially equivalent Hausdorff metric ⋮ On some fixed point results for \(H^+\)-type contraction mappings in metric spaces ⋮ Fixed points of multivalued \(({\alpha_*}-\phi)\)-contractions and metric transforms ⋮ Fixed point, data dependence and well-posed problems on \(\mathcal {H}^+\)-metric spaces and their application to homotopy theory ⋮ Remarks on metric transforms and fixed-point theorems ⋮ Fixed points for multivalued contractions with respect to a Pompeiu type metric ⋮ Existence theorems on advanced contractions with applications ⋮ On nonlinear set-valued \(\theta\)-contractions ⋮ Caristi, Nadler and \(\mathcal{H}^+\)-type contractive mappings and their fixed points in \(\theta\)-metric spaces ⋮ An extended local principle of fixed points for weakly contractive set-valued mappings ⋮ On the new Hyers–Ulam–Rassias stability of the generalized cubic set-valued mapping in the incomplete normed spaces

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