On T-stability of the Picard iteration for generalized \(\varphi\)-contraction mappings
From MaRDI portal
Publication:448770
DOI10.1155/2012/658971zbMath1252.54035OpenAlexW2140323688WikidataQ58695829 ScholiaQ58695829MaRDI QIDQ448770
Shahram Rezapour, Mihai Postolache, Robab Hamlbarani Haghi
Publication date: 7 September 2012
Published in: Abstract and Applied Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1155/2012/658971
Iterative procedures involving nonlinear operators (47J25) Complete metric spaces (54E50) Fixed-point and coincidence theorems (topological aspects) (54H25) Special maps on metric spaces (54E40)
Related Items
Common fixed points of ordered \(g\)-contractions in partially ordered metric spaces ⋮ Convergence and stability of modified Ishikawa iteration sequence with errors ⋮ On Noor-type iteration schemes for multivalued mappings in \(\mathrm{CAT}(0)\) spaces ⋮ Fixed point results, generalized Ulam-Hyers stability and well-posedness via \(\alpha\)-admissible mappings in \(b\)-metric spaces ⋮ A discussion on generalized almost contractions via rational expressions in partially ordered metric spaces ⋮ Fixed point theorems on \(b\)-metric spaces for weak contractions with auxiliary functions ⋮ Fixed and coupled fixed point theorems of omega-distance for nonlinear contraction ⋮ Common fixed point theorems for dominating and weak annihilator mappings in ordered metric spaces ⋮ Some coincidence point results for generalized (\({\psi,\varphi}\))-weakly contractive mappings in ordered \(G\)-metric spaces ⋮ Some new convergence and stability results for Jungck generalized pseudo-contractive and Lipschitzian type operators using hybrid iterative techniques in the Hilbert space ⋮ Fixed point theorem for weakly Chatterjea-type cyclic contractions ⋮ Fixed points of multivalued contractive mappings in partial metric spaces ⋮ Two new types of fixed point theorems in complete metric spaces ⋮ Fixed points of some new contractions on intuitionistic fuzzy metric spaces ⋮ Nonlinear quasi-contractions in non-normal cone metric spaces ⋮ Contraction conditions using comparison functions on \(b\)-metric spaces ⋮ On the iterates of asymptotically \(k\)-strict pseudocontractive mappings in Hilbert spaces with convergence analysis ⋮ Fixed and common fixed point theorems in frame of quasi metric spaces under contraction condition based on ultra distance functions ⋮ Some convergence, stability and data dependency results for a Picard-S iteration method of quasi-strictly contractive operators ⋮ On the error estimation and T-stability of the Ishikawa iteration for strongly demicontractive mappings ⋮ Common fixed points for weak \(\psi\)-contractive mappings in ordered metric spaces with applications ⋮ A new approach to \((\alpha, \psi)\)-contractive nonself multivalued mappings
Cites Work
This page was built for publication: On T-stability of the Picard iteration for generalized \(\varphi\)-contraction mappings