Approximation of point of coincidence and common fixed points of quasi-contraction mappings using the Jungck iteration scheme

DOI10.1016/j.amc.2015.04.098zbMath1410.54050OpenAlexW232562797MaRDI QIDQ1659663

Ivanka A. Nikolova, Petko D. Proinov

Publication date: 22 August 2018

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2015.04.098

zbMATH Keywords

error estimatescommon fixed pointquasi-contractionconvergence theorempoint of coincidenceJungck iteration

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Fixed-point and coincidence theorems (topological aspects) (54H25) Numerical solutions to equations with nonlinear operators (65J15)

Related Items (4)

Unnamed Item ⋮ Approximation and stability of common fixed points of Prešić type mappings in ultrametric spaces ⋮ Convergence and (S, T)-stability almost surely for random Jungck-type iteration processes with applications ⋮ Fixed points and coincidences of families of mappings between ordered sets and some metrical consequences

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Common fixed point theorems under a new continuity condition
• Common fixed points of noncommuting discontinuous weakly contractive mappings in cone metric spaces
• Approximation of common fixed points of weakly compatible pairs using the Jungck iteration
• Common fixed point theorems for mappings satisfying property (E.A) on cone metric spaces
• Fixed point theorem of generalized quasi-contractive mapping in cone metric space
• Common fixed points of generalized contractive maps in cone metric spaces
• New common fixed point theorems for maps on cone metric spaces
• A common fixed point theorem for compatible quasi contractive self mappings in metric spaces
• Common fixed point theorems for weakly compatible pairs on cone metric spaces
• Common fixed points of two maps in cone metric spaces
• Some generalizations of fixed point theorems in cone metric spaces
• Topological vector space-valued cone metric spaces and fixed point theorems
• A unified theory of cone metric spaces and its applications to the fixed point theory
• Iterative approximation of fixed points of quasi-contraction mappings in cone metric spaces
• Common fixed points in cone metric spaces
• Common fixed point results for noncommuting mappings without continuity in cone metric spaces
• SOME COMMON FIXED POINT RESULTS IN NON-NORMAL CONE METRIC SPACES
• Common Fixed Point Theorems for Commuting Maps on a Metric Space
• A Generalization of Banach's Contraction Principle
• Commuting Mappings and Fixed Points

This page was built for publication: Approximation of point of coincidence and common fixed points of quasi-contraction mappings using the Jungck iteration scheme