Fixed point theorems for a class of \(\alpha\)-admissible contractions and applications to boundary value problem

DOI10.1155/2014/187031zbMath1469.54048OpenAlexW2084335044WikidataQ59035887 ScholiaQ59035887MaRDI QIDQ1722306

Selma Gülyaz, Erdal Karapınar, Hamed H. Alsulami, İnci M. Erhan

Publication date: 14 February 2019

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2014/187031

Mathematics Subject Classification ID

Complete metric spaces (54E50) Linearly ordered topological spaces, generalized ordered spaces, and partially ordered spaces (54F05) Fixed-point and coincidence theorems (topological aspects) (54H25) Special maps on metric spaces (54E40)

Related Items (27)

Discussion on the fixed point problems with constraint inequalities ⋮ Study on Pata \(E\)-contractions ⋮ On Parametric $$(b, \theta )$$-Metric Space and Some Fixed Point Theorems ⋮ Revising the Hardy-Rogers-Suzuki-type \(Z\)-contractions ⋮ On (α,ψ)-k-contractions in the extended b-metric space ⋮ A fixed point theorem for generalized contractive type set-valued mappings with application to nonlinear fractional differential inclusions ⋮ Fixed points of JS-contractive mappings with applications ⋮ Unnamed Item ⋮ Fixed point results on \(\Delta\)-symmetric quasi-metric space via simulation function with an application to Ulam stability ⋮ Unnamed Item ⋮ Some notes on the existence of solution for ordinary differential equations via fixed point theory ⋮ Fixed points of \(\alpha\)-admissible mappings on partial metric spaces ⋮ Fixed point results for generalized contractive mappings involving altering distance functions on complete quasi-metric spaces and applications ⋮ An Ulam stability result on quasi-\(b\)-metric-like spaces ⋮ Nonunique Fixed Points on Partial Metric Spaces Via Control Functions ⋮ \(F(\psi,\phi)\)-contractions for \(\alpha\)-admissible mappings on \(M\)-metric spaces ⋮ Fixed points of \(\alpha\)-admissible Meir-Keeler contraction mappings on quasi-metric spaces ⋮ Revisiting Bianchini and Grandolfi theorem in the context of modified \(\omega\)-distances ⋮ Unnamed Item ⋮ Fixed points of Kannan contractive mappings in relational metric spaces ⋮ Recent advances on the results for nonunique fixed in various spaces ⋮ The Picard theorem on \(S\)-metric spaces ⋮ A survey on interpolative and hybrid contractions ⋮ Suzuki-type fixed point results in Gb-metric spaces ⋮ A remark on ``Existence and uniqueness for a neutral differential problem with unbounded delay via fixed point results \(\mathcal{F}\)-metric spaces ⋮ Fixed point theorems for quadruple self-mappings satisfying integral type inequalities ⋮ Generalized α-Meir-Keeler contraction mappings on Branciari b-metric spaces

Cites Work

• A new contraction mapping principle in partially ordered metric spaces and applications to ordinary differential equations
• Fixed point theorems for \(\alpha\)-\(\psi\)-contractive type mappings
• Generalized \(\alpha\)-\(\psi\) contractive type mappings and related fixed point theorems with applications
• Fixed point theorems for weakly contractive mappings in partially ordered sets
• Contractive-like mapping principles in ordered metric spaces and application to ordinary differential equations
• On \(\alpha\)-\(\psi\)-Meir-Keeler contractive mappings
• 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
• Fixed point theorems by altering distances between the points
• A fixed point theorem for contraction type maps in partially ordered metric spaces and application to ordinary differential equations

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