Generalized contraction principle under relatively weaker contraction in partial metric spaces
DOI10.1186/s13662-019-2027-2zbMath1458.54050OpenAlexW2932922964WikidataQ128302838 ScholiaQ128302838MaRDI QIDQ1733580
Izhar Uddin, Atiya Perveen, Mohammad Imdad
Publication date: 21 March 2019
Published in: Advances in Difference Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1186/s13662-019-2027-2
binary relationpartial orderpartial metric space\(\mathcal{R}^{\neq}\)-continuous\(\mathcal{R}^{\neq}\)-precompletenesspreserving mappings
Complete metric spaces (54E50) Metric spaces, metrizability (54E35) Linearly ordered topological spaces, generalized ordered spaces, and partially ordered spaces (54F05) Fixed-point theorems (47H10) Fixed-point and coincidence theorems (topological aspects) (54H25) Fuzzy partial differential equations (35R13)
Cites Work
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- Unified relation-theoretic metrical fixed point theorems under an implicit contractive condition with an application
- Some coincidence theorems for generalized nonlinear contractions in ordered metric spaces with applications
- Sharpening some core theorems of Nieto and Rodríguez-López with application to boundary value problem
- Metric-like spaces, partial metric spaces and fixed points
- Fixed point and multidimensional fixed point theorems with applications to nonlinear matrix equations in terms of weak altering distance functions
- Some new fixed point theorems under \((\mathcal {A},\mathcal {S})\)-contractivity conditions
- On fuzzy solutions for heat equation based on generalized Hukuhara differentiability
- Some coupled fixed point results on partial metric spaces
- Fixed points for \((\psi , \varphi )\)-weak contractions
- Fixed point theorems for monotone mappings on partial metric spaces
- Existence and uniqueness of a common fixed point on partial metric spaces
- Some generalizations of fixed point theorems in partially ordered metric spaces and applications to partial differential equations with uncertainty
- Fuzzy delay differential equations under generalized differentiability
- Relation-theoretic contraction principle
- An extension of Krasnoselskii's fixed point theorem and its application to nonlocal problems for implicit fractional differential systems with uncertainty
- Abstract comparison principles and multivariable Gronwall-Bellman inequalities
- Fixed point theorems on a metric space endowed with an arbitrary binary relation and applications
- On random fuzzy fractional partial integro-differential equations under Caputo generalized Hukuhara differentiability
- Coupled fixed point results for \((\psi,\phi)\)-weakly contractive condition in ordered partial metric spaces
- Existence and uniqueness of fixed point in partially ordered sets and applications to ordinary differential equations
- Contractive mapping theorems in partially ordered sets and applications to ordinary differential equations
- Some fixed point results in ordered partial metric spaces
- Fixed point theorems by combining Jleli and Samets, and Branciaris inequalities
- On Banach fixed point theorems for partial metric spaces
- Partial Metric Topology
- A fixed point theorem in partially ordered sets and some applications to matrix equations
- Nonlinear contractions in metric spaces under locally T-transitive binary relations
- Relation-theoretic contraction principle in metric-like as well as partial metric spaces
- Common fixed point theorems under an implicit contractive condition on metric spaces endowed with an arbitrary binary relation and an application
- Relation-theoretic metrical coincidence theorems
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