Positive fixed points for convex and decreasing operators in probabilistic Banach spaces with an application to a two-point boundary value problem

DOI10.1186/s13663-015-0338-xzbMath1344.47059OpenAlexW1922920593WikidataQ59431133 ScholiaQ59431133MaRDI QIDQ285881

Mohamed Jleli, Bessem Samet

Publication date: 19 May 2016

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

Full work available at URL: https://doi.org/10.1186/s13663-015-0338-x

zbMATH Keywords

coneboundary value problemconvex and decreasing operatorpositive fixed pointprobabilistic Banach space

Mathematics Subject Classification ID

Monotone and positive operators on ordered Banach spaces or other ordered topological vector spaces (47H07) Nonlocal and multipoint boundary value problems for ordinary differential equations (34B10) Operator theory in probabilistic metric linear spaces (47S50)

Related Items (2)

\(\varphi\)-\((h,e)\)-concave operators and applications ⋮ Unification of several distance functions and a common fixed point result

Cites Work

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• A common fixed point for operators in probabilistic normed spaces
• Positive solutions for nonlinear operator equations and several classes of applications
• A fixed point theorem for convex and decreasing operators
• Approximation of random fixed points in normed spaces
• Random fixed points of pseudo-contractive random operators
• Positive solutions of operator equations on ordered Banach spaces and applications
• Stability of functional equations in random normed spaces
• Statistical Metrics

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