Common fixed point theorems for weakly increasing mappings on ordered orbitally complete metric spaces

DOI10.1186/1687-1812-2012-85zbMath1457.54036OpenAlexW2116099725WikidataQ59289583 ScholiaQ59289583MaRDI QIDQ372085

Hemant Kumar Nashine, Zoran Kadelburg, Hui-Sheng Ding

Publication date: 11 October 2013

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

Full work available at URL: https://doi.org/10.1186/1687-1812-2012-85

zbMATH Keywords

partially ordered setorbitally complete metric spaceweakly increasing mapsasymptotically regular maporbital continuity

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 (7)

Some fixed point theorems in complex valued metric spaces ⋮ A fixed point theorem in orbitally complete partially ordered metric spaces ⋮ Fixed point theorems in orbitally 0-complete partial metric spaces via rational contractive conditions ⋮ The method for solving fixed point problem of \(G\)-nonexpansive mapping in Hilbert spaces endowed with graphs and numerical example ⋮ Implicit relations related to ordered orbitally complete metric spaces and applications ⋮ Common fixed point theorems under implicit relations on ordered metric spaces and application to integral equations ⋮ Common fixed point theorems under generalized \(\mathcal {W}\)-weakly contractive condition in ordered orbitally complete metric spaces

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Common fixed points for some generalized multivalued nonexpansive mappings in uniformly convex metric spaces
• Coupled fixed point of generalized contractive mappings on partially ordered \(G\)-metric spaces
• Common fixed points of four maps in partially ordered metric spaces
• Fixed point results for mappings satisfying \((\psi ,\varphi )\)-weakly contractive condition in partially ordered metric spaces
• Monotone generalized nonlinear contractions and fixed point theorems in ordered metric spaces
• Common fixed point theorems for \(c\)-distance in ordered cone metric spaces
• Coupled common fixed point theorems for a pair of commuting mappings in partially ordered complete metric spaces
• Common fixed points for asymptotically regular mappings
• Fixed point theorems for weakly contractive mappings in partially ordered sets
• Some fixed point theorems on ordered metric spaces and application
• Compatible mapping and common fixed points
• Common fixed point theorems for a pair of countably condensing mappings in ordered Banach spaces
• Common fixed point theorems for some new generalized contractive type mappings
• Fixed point theorems for generalized contractions in ordered metric spaces
• Contractive mapping theorems in partially ordered sets and applications to ordinary differential equations
• Construction of fixed points of nonlinear mappings in Hilbert space
• A Generalization of Banach's Contraction Principle
• Commuting Mappings and Fixed Points
• A fixed point theorem in partially ordered sets and some applications to matrix equations
• Generalized contractions in partially ordered metric spaces

This page was built for publication: Common fixed point theorems for weakly increasing mappings on ordered orbitally complete metric spaces