Some Fixed Point Theorems in Banach Spaces and Application to a Transport Equation with Delayed Neutrons
Sign Up to like & getrecommendations! Published in 2021 at "Mediterranean Journal of Mathematics"
DOI: 10.1007/s00009-021-01815-4
Abstract: In this paper, we present some fixed point theorems of Krasnosel’skii’s type in Banach spaces. The involved operators need not to be compact nor weakly continuous. The results are obtained and formulated with the use… read more here.
Keywords: fixed point; transport equation; banach spaces; point theorems ... See more keywords
On the Conditions of Fixed-Point Theorems Concerning $$\varvec{F}$$F-Contractions
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DOI: 10.1007/s00025-018-0846-1
Abstract: We prove a fixed-point theorem that generalizes and simplifies a number of results in the theory of F-contractions. We show that all of the previously imposed conditions on the operator can be either omitted or… read more here.
Keywords: theorems concerning; point; point theorems; concerning varvec ... See more keywords
Best proximity point theorems for some classes of contractions
Sign Up to like & getrecommendations! Published in 2018 at "Acta Mathematica Hungarica"
DOI: 10.1007/s10474-018-0882-z
Abstract: This article elicits some best proximity point theorems, dealing with a special genre of global minimization problem to produce optimal approximate solutions for nonlinear equations of the form Tx = x, which models many nonlinear phenomena, where… read more here.
Keywords: proximity point; contraction; best proximity; point theorems ... See more keywords
Fixed point theorems for generalized semi-quasi contractions
Sign Up to like & getrecommendations! Published in 2017 at "Journal of Fixed Point Theory and Applications"
DOI: 10.1007/s11784-016-0308-x
Abstract: In this note, we introduce the notion of a generalized semi-quasi contraction and obtain a fixed point theorem for such contraction. Our results extend and generalize some well-known fixed point theorems including Ćirić’s quasi contraction… read more here.
Keywords: generalized semi; theorems generalized; semi quasi; point ... See more keywords
Some fixed point theorems for non-self mappings of contractive type with applications to endpoint theory
Sign Up to like & getrecommendations! Published in 2017 at "Journal of Fixed Point Theory and Applications"
DOI: 10.1007/s11784-017-0428-y
Abstract: In this paper, in the setting of complete metric spaces we establish some fixed point theorems for non-self mappings of contractive type satisfying either the Reich–Zaslavski property or the approximate fixed point property. As applications,… read more here.
Keywords: theorems non; point; non self; point theorems ... See more keywords
Hybrid fixed point theorems with application to fractional evolution equations
Sign Up to like & getrecommendations! Published in 2017 at "Journal of Fixed Point Theory and Applications"
DOI: 10.1007/s11784-017-0449-6
Abstract: In this paper, we first prove some hybrid fixed point theorems of Krasnoselskii type via the measure of noncompactness in Banach spaces. Then some coupled fixed point theorems are established using the obtained hybrid fixed… read more here.
Keywords: hybrid fixed; theorems application; point; fractional evolution ... See more keywords
Best proximity point theorems for contractive mappings
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Fixed Point Theory and Applications"
DOI: 10.1007/s11784-018-0560-3
Abstract: This article is concerned with some new best proximity point theorems for principal cyclic contractive mappings, proximal cyclic contractive mappings, and proximal contractive mappings. As a consequence, an interesting fixed point theorem, due to Edelstein,… read more here.
Keywords: proximity point; point; contractive mappings; point theorems ... See more keywords
Some fixed point theorems for s-convex subsets in p-normed spaces based on measures of noncompactness
Sign Up to like & getrecommendations! Published in 2018 at "Journal of Fixed Point Theory and Applications"
DOI: 10.1007/s11784-018-0562-1
Abstract: The Kurotowskii and Hausdorff measures of noncompactness in p-normed spaces are studied, where $$0 read more here.
Keywords: measures noncompactness; normed spaces; point; point theorems ... See more keywords
Fixed point theorems for multivalued and single-valued contractive mappings on Menger PM spaces with applications
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DOI: 10.1007/s11784-018-0594-6
Abstract: In this paper, by introducing multivalued $$(\alpha ,\eta )$$(α,η)–$$\psi $$ψ-contractive mappings, we obtain new fixed point theorems for multivalued and single-valued mappings and also coupled fixed point theorems in complete Menger PM and partially ordered… read more here.
Keywords: multivalued single; theorems multivalued; point; contractive mappings ... See more keywords
Coincidence and fixed points of multivalued F-contractions in generalized metric space with application
Sign Up to like & getrecommendations! Published in 2020 at "Journal of Fixed Point Theory and Applications"
DOI: 10.1007/s11784-020-00815-3
Abstract: The aim of the paper was to prove some new fixed point theorems, coincidence point theorems and common fixed point theorems for multivalued F-contractions involving a binary relation that is not necessarily a partial order,… read more here.
Keywords: generalized metric; coincidence; point theorems; multivalued contractions ... See more keywords
Compression–Expansion Fixed Point Theorems for Decomposable Maps and Applications to Discontinuous $$\phi $$-Laplacian problems
Sign Up to like & getrecommendations! Published in 2021 at "Qualitative Theory of Dynamical Systems"
DOI: 10.1007/s12346-021-00505-6
Abstract: In this paper, we prove new compression–expansion type fixed point theorems in cones for the so-called decomposable maps, that is, compositions of two upper semicontinuous multivalued maps. As an application, we obtain existence and localization… read more here.
Keywords: fixed point; decomposable maps; point theorems; point ... See more keywords