Generalized Krasnoselskii fixed point theorem involving auxiliary functions in bimetric spaces and application to two-point boundary value problem

DOI10.1016/j.amc.2014.09.096zbMath1338.54157OpenAlexW2049560742MaRDI QIDQ298455

Maher Berzig, Sumit Chandok, Mohammad Saeed Khan

Publication date: 20 June 2016

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2014.09.096

zbMATH Keywords

fixed pointtwo-point boundary value problemcoincidence pointbimetric space

Mathematics Subject Classification ID

Fixed-point and coincidence theorems (topological aspects) (54H25)

Related Items (10)

Some fixed point theorems for \((\alpha,\psi)\)-rational type contractive mappings ⋮ Unnamed Item ⋮ A note on Krasnosel'skii fixed point theorem ⋮ Unnamed Item ⋮ Krasnoselskii-type fixed point theorem in ordered Banach spaces and application to integral equations ⋮ Application of fixed point theorems in triple bipolar controlled metric space to solve cantilever beam problem ⋮ Determining the optimal source points in MFS by minimizing an energy gap functional for 3D Laplace operator ⋮ Generalized contractive mappings and related results in \(b\)-metric like spaces with an application ⋮ Uniqueness of fixed points for sums of operators in ordered Banach spaces and applications ⋮ Existence of a unique solution for a third-order boundary value problem with nonlocal conditions of integral type

Cites Work

• An extension of coupled fixed point's concept in higher dimension and applications
• Some fixed point generalizations are not real generalizations
• Iterative approximation of fixed points
• Coincidence and common fixed point results on metric spaces endowed with an arbitrary binary relation and applications
• Common fixed-point theorems for nonlinear weakly contractive mappings
• Un'osservazione sulle contrazioni metriche
• Fixed point theorems by altering distances between the points
• Equivalence of some contractivity properties over metrical structures
• Fixed point theorems for $\alpha$--contractive mappings of Meir--Keeler type and applications
• Generalized contractions in partially ordered metric spaces
• Unnamed Item
• Unnamed Item

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