Fixed point theorems for generalized asymptotic pointwise \(\rho\)-contraction mappings involving orbits in modular function spaces

DOI10.1016/j.aml.2011.11.027zbMath1251.47050OpenAlexW1995325604WikidataQ59307036 ScholiaQ59307036MaRDI QIDQ452909

Chirasak Mongkolkeha, Poom Kumam

Publication date: 18 September 2012

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2011.11.027

zbMATH Keywords

fixed pointsasymptotic pointwise \(\rho\)-contraction involving orbitsmodular function spacesstrongly asymptotic pointwise \(\rho\)-contractions involving orbits

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Fixed-point theorems (47H10) Fixed-point and coincidence theorems (topological aspects) (54H25) Modular spaces (46A80)

Related Items (7)

On fuzzy modular spaces ⋮ Fixed points of relaxed (Ψ,φ)-weakly N-contraction mappings in modular spaces ⋮ Generalized proximal \(\psi\)-contraction mappings and best proximity points ⋮ Coupled fixed point theorems in cone metric spaces with a \(c\)-distance and applications ⋮ Fixed-point theorems for multivalued mappings in modular metric spaces ⋮ Geraghty-type theorems in modular metric spaces with an application to partial differential equation ⋮ A note on the admissibility of modular function spaces

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Fixed point theorems for contraction mappings in modular metric spaces
• On asymptotic pointwise nonexpansive mappings in modular function spaces
• Fixed point and common fixed point theorems for generalized weak contraction mappings of integral type in modular spaces
• Fixed points of asymptotic pointwise contractions in modular spaces
• On asymptotic pointwise contractions in metric spaces
• Quasicontraction mappings in modular spaces without \(\Delta_2\)-condition
• Generalized asymptotic pointwise contractions and nonexpansive mappings involving orbits
• On asymptotic pointwise contractions in modular function spaces
• Fixed points of nonlinear and asymptotic contractions in the modular space
• Fixed point theory in modular function spaces
• On modular spaces
• An Introduction to Fixed Point Theory in Modular Function Spaces
• Uniformly Lipschitzian mappings in modular function spaces

This page was built for publication: Fixed point theorems for generalized asymptotic pointwise \(\rho\)-contraction mappings involving orbits in modular function spaces