Fixed points of nonlinear contractions with applications

DOI10.3934/math.2021545zbMath1502.54061OpenAlexW3175020219MaRDI QIDQ2671010

Mohammed Shehu Shagari, Saima Rashid, Qiu-Hong Shi, Khadijah M. Abualnaja, Usamot Idayat Foluke

Publication date: 3 June 2022

Published in: AIMS Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/math.2021545

zbMATH Keywords

dynamic programmingintegral equationfixed point\(\psi\)-contraction\(r\)-hybrid \(\psi\)-contraction

Mathematics Subject Classification ID

Complete metric spaces (54E50) Dynamic programming (90C39) Fixed-point and coincidence theorems (topological aspects) (54H25) Special maps on metric spaces (54E40) Volterra integral equations (45D05)

Cites Work

• New fixed point theorems for generalized \(F\)-contractions in complete metric spaces
• Fixed points of a new type of contractive mappings in complete metric spaces
• Approximation of the common minimum-norm fixed point of a finite family of asymptotically nonexpansive mappings
• ``Optimal choice of the step length of the projection and contraction methods for solving the split feasibility problem
• On \(p\)-hybrid Wardowski contractions
• Functional equations in dynamic programming
• Interpolative Reich-Rus-Ćirić type contractions on partial metric spaces
• Existence of solution for an infinite system of nonlinear integral equations via measure of noncompactness and homotopy perturbation method to solve it
• Common fixed point results for new Ciric-type rational multivalued \(F\)-contraction with an application
• New formulation for discrete dynamical type inequalities via \(h\)-discrete fractional operator pertaining to nonsingular kernel
• Some inequalities for a new class of convex functions with applications via local fractional integral
• Efficient computations for weighted generalized proportional fractional operators with respect to a monotone function
• New computations for extended weighted functionals within the Hilfer generalized proportional fractional integral operators
• More efficient estimates via \(\hslash\)-discrete fractional calculus theory and applications
• On multivalued hybrid contractions with applications
• Some new bounds analogous to generalized proportional fractional integral operator with respect to another function
• Subharmonic oscillations of a forced pendulum with time-dependent damping
• On interpolative Hardy-Rogers type contractions
• Hybrid multivalued type contraction mappings in \(\alpha_K\)-complete partial \(b\)-metric spaces and applications
• Algorithms with strong convergence for the split common solution of the feasibility problem and fixed point problem
• Some fixed point theorems concerning \(F\)-contraction in complete metric spaces
• Fixed point optimization algorithm and its application to network bandwidth allocation
• Fixed points of \(F\)-weak contractions on complete metric spaces
• Fixed point results for F-contractive mappings of Hardy-Rogers-type
• A Fixed Point Approach to Homological Perturbation Theory
• Revisiting the Kannan Type Contractions via Interpolation
• Some Remarks Concerning Contraction Mappings
• On nonlinear variational inequalities

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