Monotone generalized contractions in partially ordered probabilistic metric spaces

DOI10.1016/j.topol.2009.08.029zbMath1206.54039OpenAlexW2035477397MaRDI QIDQ1032925

Dorel Miheţ, Ljubomir B. Ćirić, Reza Saadati

Publication date: 5 November 2009

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.topol.2009.08.029

zbMATH Keywords

complete metric spacecoincidencecommon fixed pointnon-decreasing mappingfixed pint

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Fixed-point and coincidence theorems (topological aspects) (54H25)

Related Items (42)

Fixed point theorems for multivalued and single-valued contractive mappings on Menger PM spaces with applications ⋮ Fixed point theorems for fuzzy mappings and applications to ordinary fuzzy differential equations ⋮ Generalized probabilistic \(G\)-contractions ⋮ Generalized contraction mapping principle and generalized best proximity point theorems in probabilistic metric spaces ⋮ Fixed point and best proximity point theorems for contractions in new class of probabilistic metric spaces ⋮ Weak and strong convergence theorems of fixed points for nonexpansive mappings and strongly pseudocontractive mappings in a new class of probabilistic normed spaces ⋮ Fixed point results for generalized \(F\)-contractions in modular metric and fuzzy metric spaces ⋮ Probabilistic \((\omega, \gamma, \phi)\)-contractions and coupled coincidence point results ⋮ Coupled fixed point theorems for \((\alpha, \phi)_{g}\)-contractive type mappings in partially ordered \(G\)-metric spaces ⋮ Unnamed Item ⋮ Coupled coincidence point results for compatible mappings in partially ordered probabilistic metric spaces ⋮ Solving the Banach fixed point principle for nonlinear contractions in probabilistic metric spaces ⋮ Common fixed point results for three maps in generalized metric space ⋮ A fixed point theorem for a special class of probabilistic contraction ⋮ Common fixed-point results for nonlinear contractions in ordered partial metric spaces ⋮ Mixed monotone-generalized contractions in partially ordered probabilistic metric spaces ⋮ Nonlinear coupled coincidence and coupled fixed point theorems for not necessary commutative contractive mappings in partially ordered probabilistic metric spaces ⋮ Coupled coincidence point theorems for contractions in generalized fuzzy metric spaces ⋮ Retracted article: Coupled fixed point theorems without continuity and mixed monotone property ⋮ Unnamed Item ⋮ Coupled fixed point theorems in partially ordered \(G\)-metric spaces ⋮ On extended, and extended rectangular, Menger probabilistic \(b\)-metric spaces: applications to the existence of solutions of integral, and fractional differential, equations ⋮ Two extensions of coupled coincidence point results for nonlinear contractive mappings ⋮ Coupled fixed point theorems for nonlinear contractions in partially ordered \(G\)-metric spaces ⋮ Some new fixed point results under constraint inequalities in comparable complete partially ordered Menger PM-spaces ⋮ Coupled coincidence point theorems under contractive conditions in partially ordered probabilistic metric spaces ⋮ Coupled fixed point results in generalized metric spaces ⋮ Common coupled fixed point theorems for contractive mappings in fuzzy metric spaces ⋮ Fixed point theorems for contractive mappings and Ciric-Maiti-Pal orbit mappings of contractive type in re-defined generalized metric spaces ⋮ \(N\)-fixed point theorems for nonlinear contractions in partially ordered metric spaces ⋮ Fixed point theorems for contractions in fuzzy normed spaces and intuitionistic fuzzy normed spaces ⋮ Common fixed point theorems on orbitally complete ordered metric spaces via asymptotic regularity ⋮ Ordered non-Archimedean fuzzy metric spaces and some fixed point results ⋮ Fixed point theorems for generalized weakly contractive condition in ordered metric spaces ⋮ Generalized probabilistic metric spaces and fixed point theorems ⋮ Random fixed point theorems in partially ordered metric spaces ⋮ Fixed point theorems on ordered metric spaces through a rational contraction ⋮ Common coupled fixed point theorems for weakly compatible mappings in fuzzy metric spaces ⋮ Two coupled weak contraction theorems in partially ordered metric spaces ⋮ A Kannan-like contraction in partially ordered spaces ⋮ Partial S-metric spaces and coincidence points ⋮ Fixed points of α-dominated mappings on dislocated quasi metric spaces

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