Some fixed point theorems for \(F(\psi,\varphi)\)-contractions and their application to fractional differential equations

DOI10.1134/S1061920820030103zbMath1447.54039OpenAlexW3083760208MaRDI QIDQ2198331

Ayman Shehata, Shimaa I. Moustafa, Hari M. Srivastava

Publication date: 10 September 2020

Published in: Russian Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1061920820030103

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Fixed-point and coincidence theorems (topological aspects) (54H25) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09)

Related Items (11)

On multivalued L-contractions and an application ⋮ A certain class of $\theta_{L}$-type non-linear operators and some related fixed point results ⋮ Banach, Kannan, Chatterjea, and Reich‐type contractive inequalities for multivalued mappings and their common fixed points ⋮ Unnamed Item ⋮ On new type of \(F\)-contractive mapping for quasipartial \(b\)-metric spaces and some results of fixed-point theorem and application ⋮ Common fixed points of Kannan, Chatterjea and Reich type pairs of self-maps in a complete metric space ⋮ Existence, uniqueness and stability of fractional impulsive functional differential inclusions ⋮ Iterative method to find approximate solution of system of integral equations via generalized Meir-Keeler condensing operator ⋮ Difference sequence spaces based on Lucas band matrix and modulus function ⋮ New common fixed point theorems for Górnicki-type mappings and enriched contractions ⋮ Simulation functions and Meir–Keeler condensing operators with application to integral equations

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Existence and uniqueness of solutions for a coupled system of multi-term nonlinear fractional differential equations
• A new contraction mapping principle in partially ordered metric spaces and applications to ordinary differential equations
• Existence and uniqueness of positive solutions for a singular fractional three-point boundary value problem
• A note on boundary value problems for a coupled system of fractional differential equations
• Positive solutions for boundary value problems of nonlinear fractional differential equation
• Some convergence theorems of a sequence in complete metric spaces and its applications
• Existence and uniqueness of solutions for multi-point boundary value problems for fractional differential equations
• Boundary value problem for a coupled system of nonlinear fractional differential equations
• Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
• A contraction fixed point theorem in partially ordered metric spaces and application to fractional differential equations
• A fractional quadratic autocatalysis associated with chemical clock reactions involving linear inhibition
• Existence results for multiple positive solutions of nonlinear higher order perturbed fractional differential equations with derivatives
• Contractive mapping theorems in partially ordered sets and applications to ordinary differential equations
• Generalized contractions in partially ordered metric spaces and applications to ordinary differential equations
• Application of Schauder fixed point theorem to a coupled system of differential equations of fractional order
• A fixed point theorem in partially ordered sets and some applications to matrix equations
• A study of the fractional‐order mathematical model of diabetes and its resulting complications
• A fixed point theorem for contraction type maps in partially ordered metric spaces and application to ordinary differential equations
• Positive solutions for boundary value problem of nonlinear fractional differential equation

This page was built for publication: Some fixed point theorems for \(F(\psi,\varphi)\)-contractions and their application to fractional differential equations