Fixed point theorems of operators with ppf dependence in banach spaces

DOI10.1080/00036817708839165zbMath0375.47027OpenAlexW1972638253WikidataQ58307868 ScholiaQ58307868MaRDI QIDQ4155367

Y. M. Reddy, Stephen R. Bernfeld, Vangipuram Lakshmikantham

Publication date: 1977

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036817708839165

Mathematics Subject Classification ID

General theory of numerical analysis in abstract spaces (65J05) Fixed-point theorems (47H10)

Related Items (28)

Unnamed Item ⋮ Some \(PPF\) dependent fixed point theorems for generalized \(\alpha\)-\(F\)-contractions in Banach spaces and applications ⋮ Monotone method for integrodifferential equation with periodic boundary conditions ⋮ PPF dependent fixed point theorems for \(\alpha_c\)-admissible rational type contractive mappings in Banach spaces ⋮ Monotone iterative technique for functional differential equations with retardation and anticipation ⋮ Fixed-point theorems in partially ordered metric spaces for operators with PPF dependence ⋮ Quasilinear iterative scheme for a fourth-order differential equation with retardation and anticipation ⋮ PPF dependent fixed point theorems for an \(\alpha_c\)-admissible non-self mapping in the Razumikhin class ⋮ Some PPF dependent random fixed point theorems and periodic boundary value problems of random differential equation ⋮ PPF dependent common fixed point theorems for mappings in Banach spaces ⋮ Condensing operators ⋮ On sufficient conditions for the existence of past-present-future dependent fixed point in the Razumikhin class and application ⋮ PPF Dependent Fixed Points in Razumikhin Metrical Chains ⋮ Fixed point theorems for mixed monotone operators with PPF dependence ⋮ New \(PPF\) dependent fixed point theorems for Suzuki type \(GF\)-contractions ⋮ Functional differential systems with retardation and anticipation ⋮ Nonhomogeneous boundary value problem for first-order impulsive differential equations with delay ⋮ Fixed point theorems for contractions of rational type with PPF dependence in Banach spaces ⋮ Unnamed Item ⋮ Quasilinearization for functional differential equations with retardation and anticipation ⋮ Periodic boundary value problem for differential equations with delay and monotone iterative method ⋮ Monotone method for first order functional differential equations with retardation and anticipation ⋮ PPF dependent fixed points of generalized contractive type mappings using C-class functions with an application ⋮ New fixed point results with PPF dependence in Banach spaces endowed with a graph ⋮ Special issue: Lakshmikantham's legacy: a tribute on his 75th birthday ⋮ A brief biography and survey of collected works of V. Lakshmikantham ⋮ Periodic boundary value problems for first order impulsive delay differential equations ⋮ Random fixed points for ψ-contractions with application to random differential equations

Cites Work

• Differential equation s in abstract spaces
• Strong and weak convergence of the sequence of successive approximations for quasi-nonexpansive mappings

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