A NEW EXTENSION OF DARBO’S FIXED POINT THEOREM USING RELATIVELY MEIR–KEELER CONDENSING OPERATORS

DOI10.1017/S000497271800045XOpenAlexW2884006895WikidataQ129494599 ScholiaQ129494599MaRDI QIDQ4684269

Calogero Vetro, Moosa Gabeleh

Publication date: 27 September 2018

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s000497271800045x

zbMATH Keywords

optimal solutionbest proximity pointstrictly convex Banach spacerelatively Meir-Keeler condensing operator

Mathematics Subject Classification ID

Initial value problems, existence, uniqueness, continuous dependence and continuation of solutions to ordinary differential equations (34A12) Fixed-point theorems (47H10) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09)

Related Items (13)

Coupled measure of noncompactness and functional integral equations ⋮ Best proximity point results and application to a system of integro-differential equations ⋮ On a new variant of F-contractive mappings with application to fractional differential equations ⋮ A new approach to the generalization of Darbo's fixed point problem by using simulation functions with application to integral equations ⋮ Global optimum solutions for a system of \((k, \psi)\)-Hilfer fractional differential equations: best proximity point approach ⋮ New best proximity point (pair) theorems via MNC and application to the existence of optimum solutions for a system of \(\psi\)-Hilfer fractional differential equations ⋮ Darbo type best proximity point results via simulation function with application ⋮ Unnamed Item ⋮ Cyclic (noncyclic) phi-condensing operator and its application to a system of differential equations ⋮ Existence of a solution of Hilfer fractional hybrid problems via new Krasnoselskii-type fixed point theorems ⋮ Unnamed Item ⋮ Best Proximity Point Results via Measure of Noncompactness and Application ⋮ Simulation functions and Meir–Keeler condensing operators with application to integral equations

Cites Work

• Unnamed Item
• Fixed point theorems for Meir-Keeler condensing operators via measure of noncompactness
• Measures of noncompactness in metric fixed point theory
• A characterization of proximal normal structure via proximal diametral sequences
• Optimum solutions for a system of differential equations via measure of noncompactness
• Un teorema di esistenza per le equazioni differenziali negli spazi di Banach
• Punti uniti in trasformazioni a codominio non compatto
• Proximal normal structure and relatively nonexpansive mappings
• Topological properties of the unit sphere of a Hilbert space

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