Generalized common fixed point theorems in complex valued metric spaces and applications

DOI10.1186/1029-242X-2012-84zbMath1295.54090OpenAlexW2096975473WikidataQ59270765 ScholiaQ59270765MaRDI QIDQ367125

Poom Kumam, Wutiphol Sintunavarat

Publication date: 26 September 2013

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/1029-242x-2012-84

zbMATH Keywords

fixed pointscommon fixed pointsweakly compatible mappingscomplex valued metric spaces

Mathematics Subject Classification ID

Fixed-point and coincidence theorems (topological aspects) (54H25) Special maps on metric spaces (54E40)

Related Items (57)

Rational type inequality with applications to Voltera-Hammerstein nonlinear integral equations ⋮ Fixed point results satisfying rational-type contractive conditions in complex valued metric spaces ⋮ Applications and theorem on common fixed point in complex valued b-metric space ⋮ Unnamed Item ⋮ Fixed point theorems in complex valued metric spaces ⋮ COMPLEX VALUED METRIC SPACES FOR DAS AND GUPTA CONTRACTION AND FIXED POINT AND COMMON FIXED POINT THEOREMS ⋮ A unique common coupled fixed point theorem for Jungck type maps in complex valued \(b\)-metric spaces ⋮ Unnamed Item ⋮ Various fixed point theorems in complex valued \(b\)-metric spaces ⋮ Intuitionistic fuzzy fixed point theorems in complex-valued \(b\)-metric spaces with applications to fractional differential equations ⋮ Coincidence point theorem for two pairs of hybrid mappings in complex valued metric spaces ⋮ Some common coupled fixed point results for generalized contraction in complex-valued metric spaces ⋮ Common fixed point results for multi-valued mappings in complex-valued double controlled metric spaces and their applications to the existence of solution of fractional integral inclusion systems ⋮ Some fixed point theorems on complex valued modular metric spaces with an application ⋮ Some common fixed-point theorems for generalized-contractive-type mappings on complex-valued metric spaces ⋮ Coupled best proximity point theorem in metric spaces ⋮ Common coupled fixed point theorems for \(w^*\)-compatible mappings without mixed monotone property ⋮ Common \(\alpha\)-fuzzy fixed point results for Kannan type contractions with application ⋮ Existence of solutions for nonlinear impulsive fractional differential equations via common fixed-point techniques in complex valued fuzzy metric spaces ⋮ Fixed point results for almost generalized cyclic \((\psi, \varphi)\)-weak contractive type mappings with applications ⋮ Unnamed Item ⋮ Iterative approximation of fixed points of contraction mappings in complex valued Banach spaces ⋮ Unnamed Item ⋮ Some new fixed point theorems in complex valued \(G\)-metric spaces ⋮ Generalized common fixed point results with applications ⋮ Common fixed point theorems satisfying contractive type conditions in complex valued metric spaces ⋮ Some common fixed point results for rational type contraction mappings in complex valued metric spaces ⋮ Some common fixed points of multivalued mappings on complex-valued metric spaces with homotopy result ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Fuzzy fixed point results and applications to ordinary fuzzy differential equations in complex valued metric spaces ⋮ Fuzzy fixed point results for \(\Phi\) contractive mapping with applications ⋮ Unnamed Item ⋮ Common solution of Urysohn integral equations with the help of common fixed point results in complex valued metric spaces ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Common fixed point of mappings satisfying rational inequalities in ordered complex valued generalized metric spaces ⋮ Common best proximity points in complex valued b-metric spaces ⋮ Common fixed point theorems for mappings satisfying a contractive condition of rational expression on a ordered complex partial metric space ⋮ Complex valued \(b\)-metric spaces and common fixed point theorems under rational contractions ⋮ Common fixed points of \(f\)-contraction mappings in complex valued metric spaces ⋮ ON THE EXISTENCE AND UNIQUENESS OF COUPLED FIXED POINTS IN COMPLEX VALUED 2-METRIC SPACES ⋮ Rational type compatible single-valued mappings via unique common fixed point findings in complex-valued b-metric spaces with an application ⋮ ϕ-contractive multivalued mappings in complex valued metric spaces and remarks on some recent papers ⋮ On fuzzy fixed-point results in complex valued extended \(b\)-metric spaces with application ⋮ An approach of integral equations in complex-valued \(b\)-metric space using commuting self-maps ⋮ Common fixed points for multivalued mappings in complex valued metric spaces with applications ⋮ Common fixed point results for fuzzy mappings on complex-valued metric spaces with homotopy results ⋮ Unnamed Item ⋮ Generalized common fixed point results via greatest lower bound property ⋮ On fuzzy fixed points for fuzzy maps with generalized weak property ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Various generalizations of metric spaces and fixed point theorems ⋮ Complex valued dislocated metric spaces ⋮ Fixed points of weakly compatible mappings satisfying generalized \(\varphi\)-weak contractions ⋮ COMMON FIXED POINT THEOREM IN COMPLEX VALUED b-METRIC SPACE FOR RATIONAL CONTRACTIONS ON TWO SELF MAPS

Cites Work

• Common fixed point theorems for generalized \(\mathcal{JH}\)-operator classes and invariant approximations
• Fixed point theorems for contraction mappings in modular metric spaces
• Generalization of fixed point theorems in ordered metric spaces concerning generalized distance
• Brush spaces and the fixed point property
• Common fixed point theorems on generalized distance in ordered cone metric spaces
• Weak condition for generalized multi-valued \((f,\alpha ,\beta )\)-weak contraction mappings
• Some fixed point generalizations are not real generalizations
• Common fixed point theorem for hybrid generalized multi-valued contraction mappings
• Fixed point theorems for partially outward mappings
• Cone metric spaces and fixed point theorems of contractive mappings
• Some recent results in metric fixed point theory
• Fixed point classes on symmetric product spaces
• Fixed point results for multimaps in CAT(0) spaces
• Modular metric spaces. I: Basic concepts
• Compatible mappings and common fixed points. II
• Compatible mapping and common fixed points
• Gregus type fixed points for a tangential multi-valued mappings satisfying contractive conditions of integral type
• Common Fixed Point Theorems in Complex Valued Metric Spaces
• Commuting Mappings and Fixed Points

This page was built for publication: Generalized common fixed point theorems in complex valued metric spaces and applications