New fixed point theorems for \(\alpha\)-\(H\) \(\Theta\)-contractions in ordered metric spaces

DOI10.1007/s11784-016-0330-zzbMath1444.54032OpenAlexW2527738395MaRDI QIDQ505843

Nawab Hussain, Farhan Golkarmanesh, Peyman Salimi, Vahid Parvaneh

Publication date: 26 January 2017

Published in: Journal of Fixed Point Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11784-016-0330-z

zbMATH Keywords

fixed point\(\alpha\)-\(\eta\)-continuous functionorbitally continuous function\(\alpha\)-\(H\) \(\Theta\)-contractions

Mathematics Subject Classification ID

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 (8)

Global optimization and applications to a variational inequality problem ⋮ Some new \(\varphi\)-fixed point and \(\varphi\)-fixed disc results via auxiliary functions ⋮ Weak \(\theta\)-contractions and some fixed point results with applications to fractal theory ⋮ Some existence results for a system of nonlinear fractional differential equations ⋮ Generalized JS-Contractions in b-Metric Spaces with Application to Urysohn Integral Equations ⋮ Remarks on ``New fixed point theorems for \(\alpha \)-\(H\theta \)-contractions in ordered metric spaces ⋮ Best proximity point results for generalized \(\Theta\)-contractions and application to matrix equations ⋮ Common fixed points of \((\alpha, \eta) - (\theta, \digamma)\) rational contractions with applications

Cites Work

• Suzuki-type fixed point results in metric type spaces
• Fixed and periodic points of generalized contractions in metric spaces
• Fixed point theorems for \(\alpha\)-\(\psi\)-contractive type mappings
• Fixed point theorems in ordered Banach spaces and applications to nonlinear integral equations
• New \(PPF\) dependent fixed point theorems for Suzuki type \(GF\)-contractions
• Suzuki-Wardowski type fixed point theorems for \(\alpha\)-gf-contractions
• A new type of fixed point theorem in metric spaces
• Fixed point theory in \(\alpha\)-complete metric spaces with applications
• Discussions on recent results for \(\alpha\)-\(\psi\)-contractive mappings
• Fixed point results for modified weak and rational \(\alpha\)-\(\psi\)-contractions in ordered 2-metric spaces
• Modified \(\alpha\)-\(\psi\)-contractive mappings with applications
• A new generalization of the Banach contraction principle
• Contractive mapping theorems in partially ordered sets and applications to ordinary differential equations
• \({\alpha}\)-admissible mappings and related fixed point theorems
• On Suzuki-Wardowski type fixed point theorems
• Generalized dynamic process for generalized (f,L)-almost F-contraction with applications
• A generalized Banach contraction principle that characterizes metric completeness

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