Ulam-Hyers stability for MKC mappings via fixed point theory

DOI10.1155/2016/9623597zbMath1381.39028OpenAlexW2405121650WikidataQ59126607 ScholiaQ59126607MaRDI QIDQ294914

Hamed H. Alsulami, Erdal Karapınar, Anisa Mukhtar Hassan

Publication date: 16 June 2016

Published in: Journal of Function Spaces (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2016/9623597

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Stability, separation, extension, and related topics for functional equations (39B82)

Related Items (9)

Stability analysis for a class of implicit fractional differential equations involving Atangana-Baleanu fractional derivative ⋮ Hyers-Ulam stability of impulsive Volterra delay integro-differential equations ⋮ New discussion on nonlocal controllability for fractional evolution system of order \(1 < r < 2\) ⋮ A note on the approximate controllability of second-order integro-differential evolution control systems via resolvent operators ⋮ An analysis on the controllability and stability to some fractional delay dynamical systems on time scales with impulsive effects ⋮ On the generalized fractional snap boundary problems via \(G\)-Caputo operators: existence and stability analysis ⋮ Brzdęk’s fixed point method for the generalised hyperstability of bi-Jensen functional equation in (2,β)-Banach spaces ⋮ Different types of Hyers-Ulam-Rassias stabilities for a class of integro-differential equations ⋮ A fixed point theorem and Ulam stability of a general linear functional equation in random normed spaces

Cites Work

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• Fixed point results for generalized \((\alpha, \psi)\)-Meir-Keeler contractive mappings and applications
• Metric-like spaces, partial metric spaces and fixed points
• A note on common fixed points for (\({\psi,\alpha,\beta}\))-weakly contractive mappings in generalized metric spaces
• Fixed point theorems for \(\alpha\)-\(\psi\)-contractive type mappings
• Generalized \(\alpha\)-\(\psi\) contractive type mappings and related fixed point theorems with applications
• Fixed points for generalized \((\alpha, \psi)\)-contractions on generalized metric spaces
• Some new fixed point theorems for \(\alpha\)-Geraghty contraction type maps in metric spaces
• Dislocated metric space to metric spaces with some fixed point theorems

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