Best proximity points for generalized \((\mathcal{F},\mathcal{R})\)-proximal contractions

Fixed-point theorems (47H10) Fixed-point and coincidence theorems (topological aspects) (54H25) Applications of functional analysis in numerical analysis (46N40) Nonlinear functional analysis (46T99)

Cites Work

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Some coincidence theorems for generalized nonlinear contractions in ordered metric spaces with applications
Fixed points of a new type of contractive mappings in complete metric spaces
Coupled coincidence points of mappings in ordered partial metric spaces
A best proximity point theorem for weakly contractive non-self-mappings
Best proximity points: Optimal solutions
Relation-theoretic contraction principle
Fixed point theorems for weakly contractive mappings in partially ordered sets
Relation-theoretic metrical fixed-point results via \(w\)-distance with applications
Abstract comparison principles and multivariable Gronwall-Bellman inequalities
Fixed point theorems on a metric space endowed with an arbitrary binary relation and applications
Best proximity pair theorems for multifunctions with open fibres
Fixed point results for enriched ordered contractions in noncommutative Banach spaces
Best proximity points in noncommutative Banach spaces
Best proximity point results for \(p\)-proximal contractions
Discussion of coupled and tripled coincidence point theorems for \(\phi\)-contractive mappings without the mixed \(g\)-monotone property
Feng-Liu type approach to best proximity point results for multivalued mappings
Monotone generalized contractions in ordered metric spaces
Best proximity point theorems for non-self mappings
Ran-Reurings theorems in ordered metric spaces
Extensions of Banach's Contraction Principle
Best proximity point theorems for cyclic p-contractions with some consequences and applications
Relation-theoretic metrical coincidence theorems
Metric Fixed Point Theory
Contractive Operators in Relational Metric Spaces
On the existence of best proximity points for generalized contractions
Nieto-Lopez theorems in ordered metric spaces
The contraction principle for mappings on a metric space with a graph

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