Fixed point theorems for almost contractions in partially ordered metric spaces

DOI10.1007/s11565-011-0144-2zbMath1302.54074OpenAlexW2017179261MaRDI QIDQ473484

Binayak S. Choudhury, Nikhilesh Metiya

Publication date: 24 November 2014

Published in: Annali dell'Università di Ferrara. Sezione VII. Scienze Matematiche (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11565-011-0144-2

zbMATH Keywords

fixed pointpartial orderingalmost contraction

Mathematics Subject Classification ID

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

Related Items (11)

End point results of generalized setvalued almost contractions in metric spaces endowed with a graph ⋮ End point theorems of multivalued operators without continuity satisfying hybrid inequality under two different sets of conditions ⋮ Fixed point sets of multivalued rational contractions with stability analysis ⋮ Nadler-Liu Functional Contractions in Metric Spaces ⋮ Unnamed Item ⋮ End point results in metric spaces endowed with a graph ⋮ Common best proximity point theorem for multivalued mappings in partially ordered metric spaces ⋮ Unnamed Item ⋮ Perturbed geometric contractions in ordered metric spaces ⋮ Stability of fixed point sets of a class of multivalued nonlinear contractions ⋮ Fixed point results in ordered metric spaces for rational type expressions with auxiliary functions

Cites Work

• Common fixed points of noncommuting discontinuous weakly contractive mappings in cone metric spaces
• Common fixed points of almost generalized contractive mappings in ordered metric spaces
• Coupled coincidence point theorems in ordered metric spaces
• Multivalued and singlevalued fixed point results in partially ordered metric spaces
• Fixed point theorems of multivalued monotone mappings in ordered metric spaces
• Fixed point theorems for weakly contractive mappings in partially ordered sets
• Some fixed point theorems on ordered metric spaces and application
• Abstract comparison principles and multivariable Gronwall-Bellman inequalities
• Contractive mapping theorems in partially ordered sets and applications to ordinary differential equations
• Some fixed point theorems for weakly compatible multi valued mappings satisfying an implicit relation
• A fixed point theorem in partially ordered sets and some applications to matrix equations
• On common fixed points of weakly compatible mappings satisfying ‘generalized condition (B)’
• Fixed point theorems in metric spaces
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