On the fixed points of certain types of functions for constructing associated calculi

DOI10.1007/s11784-018-0602-xzbMath1401.05047OpenAlexW2884211791MaRDI QIDQ1615328

Enas M. Shehata, Abdel-Shakoor M. Sarhan

Publication date: 30 October 2018

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

Full work available at URL: https://doi.org/10.1007/s11784-018-0602-x

zbMATH Keywords

convexquasiconvexcommon fixed points with common directionquasilinear and pseudolinear functions

Mathematics Subject Classification ID

(q)-calculus and related topics (05A30) Difference operators (39A70) Fixed points and periodic points of dynamical systems; fixed-point index theory; local dynamics (37C25) Difference equations, scaling ((q)-differences) (39A13) Convexity of real functions in one variable, generalizations (26A51) Monotonic functions, generalizations (26A48)

Related Items (4)

A general quantum Laplace transform ⋮ Unnamed Item ⋮ Leibniz’s Rule and Fubini’s Theorem Associated with a General Quantum Difference Operator ⋮ Quantum exponential functions in a Banach algebra

Cites Work

• Constants of motion for non-differentiable quantum variational problems
• A general quantum difference calculus
• Hahn difference operator and associated Jackson-Nörlund integrals
• Some inequalities based on a general quantum difference operator
• Pseudolinearity and efficiency
• Information in black hole radiation
• Quantum calculus
• \(q\)-deformed structures and nonextensive statistics: a comparative study

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