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COINCIDENCES AND FIXED POINT THEOREMS FOR MAPPINGS SATISFYING CONTRACTIVE CONDITION OF INTEGRAL TYPE ON d-COMPLETE TOPOLOGICAL SPACES

Ramesh Chandra Dimri, Amit Singh
2012 Communications of the Korean Mathematical Society  
In this paper, we prove some fixed point theorems for some weaker forms of compatibility satisfying a contractive condition of integral type on d-complete Hausdorff topological spaces.  ...  Our results extend and generalize some well known previous results.  ...  The d-complete symmetrizable spaces form an important class of d-complete topological spaces. Other examples of dcomplete topological spaces may be found in Hicks and Rhoades [10] .  ... 
doi:10.4134/ckms.2012.27.4.709 fatcat:oywisd7y3jcnzahig5ypfmmfjy

Helical magnetic ordering in Tb completely suppressed by uniaxial tension: Evidence of electronic topological transition and support for the nesting hypothesis

A. Vl. Andrianov, D. I. Kosarev, A. I. Beskrovnyi
2000 Physical Review B (Condensed Matter)  
This range diminishes rapidly as uniaxial tension is applied, and at tensions over p*ϭ680 bar the helical ordering is completely suppressed.  ...  The experiment supports the hypothesis that the type of magnetic ordering in rare-earth metals is determined by Fermi surface topology, which can in turn be altered by uniaxial deformation.  ...  As the FS topology is different in Y and Gd, the change in FS topology would definitely occur in this system at some x.  ... 
doi:10.1103/physrevb.62.13844 fatcat:7pbfxi52dfdhrjz3xmukzpad2q

Complete amino acid sequence and predicted membrane topology of phenobarbital-induced cytochrome P-450 (isozyme 2) from rabbit liver microsomes

G. E. Tarr, S. D. Black, V. S. Fujita, M. J. Coon
1983 Proceedings of the National Academy of Sciences of the United States of America  
The secondary structure of isozyme 2 was predicted and a model was developed for the membrane topology of this cytochrome.  ...  We report here the complete amino acid sequence of P-  ...  FIG. 2 . 2 Overlap strategy for the determination of the complete sequence of P-450 isozyme 2.  ... 
doi:10.1073/pnas.80.21.6552 pmid:6579541 pmcid:PMC390391 fatcat:36ji5d2eqbesrllcyvhdpterai

Complete topologized posets and semilattices

Taras Banakh, Serhii Bardyla
2022 arXiv   pre-print
In this paper we discuss the notion of completeness of topologized posets and survey some recent results on closedness properties of complete topologized semilattices.  ...  By the down-completeness (and ↑κ-completeness) of X the chain D has inf DD (and sup DD). The continuity of h implies that f (inf D) ∈ f (D) ⊂ f (D) =C (and f (sup D) ∈ f (D) ⊂ f (D) =C).  ...  If the topologized semilattice X is down-complete (and ↑κ-complete), then so is the topologized semilattice Y . Proof. Assume that the topologized semilattice X is down-complete (and ↑κ-complete).  ... 
arXiv:1806.02869v3 fatcat:k3jxmydehff3tnwo75veusskki

On d*-Complete Topological Spaces and Related Fixed Point Results

Zoran D. Mitrović, Ivan Aranđelović, Vesna Mišić, Hassen Aydi, Bessem Samet
2020 Mathematics  
In this paper, we introduce the concept of d*-complete topological spaces, which include earlier defined classes of complete metric spaces and quasi b-metric spaces.  ...  Further, we prove some fixed point results for mappings defined on d*-complete topological spaces, generalizing earlier results of Tasković, Ćirić and Prešić, Prešić, Bryant, Marjanović, Yen, Caccioppoli  ...  The pair (X, d) is a d-complete topological space if it satisfies (α) and (β). The pair (X, d) is a d * -complete topological space if it satisfies (α) and (γ).  ... 
doi:10.3390/math8091447 fatcat:pkaexinndzg4lhigivsr7cydtm

Atsuji completions vis-à-vis hyperspaces

Tanvi Jain, S. Kundu
2008 Mathematica Slovaca  
A metric space (X, d) is said to have an Atsuji completion if its completion ($$ \hat X $$, d) is an Atsuji space.  ...  We also characterize topologically those metrizable spaces whose completions are Atsuji spaces.  ...  Acknowledgementº The authors would like to thank Prof. L'. Holá for her suggestions, in particular for suggesting improvements in Theorem 3.6, and the referee for comments and observations.  ... 
doi:10.2478/s12175-008-0089-9 fatcat:y2rl2vsz7bacfdd4273b5uw7va

On the lattice of Fréchet-Nikodým topologies

Cecilia Brook Weakley
1987 Journal of Mathematical Analysis and Applications  
Weber [9] and Brook and Traynor [4] independently showed that the exhaustive FN topologies form a complete Boolean algebra and the existence of relative complements is the basis of the Lebesgue decomposition  ...  Drewnowski, who first studied FN topologies systematically [5] , observed that the collection of FN topologies on an algebra forms a complete lattice with 0 and 1.  ...  The set FN(.d) of all FN topologies on x2, ordered by inclusion, is a complete lattice, Proof: By 1. 2 and 1.4, E(d) is a complete distributive lattice with largest element E.  ... 
doi:10.1016/0022-247x(87)90268-x fatcat:nntyrpm2vbciph4sxcp4eu4e5u

Topological categories

G.C.L. Brümmer
1984 Topology and its Applications  
Such categories provide a setting for general topology and topological algebra when I is the category of sets or a category of algebras.  ...  This is a survey for the working mathematician of the theory of initially complete categories.  ...  The pair (d, T) is called an initially complete category if T: d + 2' is topological, and a topological category under the additional conditions mentioned in Section 1. Theorem.  ... 
doi:10.1016/0166-8641(84)90029-4 fatcat:3o5bicxsbzacrhdtafi6f2w3oe

A decomposition theorem for complete comodule algebras over complete Hopf algebras

Andrzej Tyc
1998 Colloquium Mathematicum  
In particular , the induced topology in A D is equivalent to the J ∩ A D -adic topology in A D . R e m a r k 3.5.  ...  If (M, {M i }) and (N, {N s }) are topological modules, then the tensor product M ⊗ N will be treated as a topological module with the topology defined by the family The category of all complete modules  ... 
doi:10.4064/cm-74-2-243-252 fatcat:oz5v62rdlfembge7nfcmhxzdti

The quasi Scott (Lawson) topology and q-continuous (q-algebraic) complete lattices

D.N. Georgiou, A.C. Megaritis
2015 Filomat  
Also, we introduce and investigate the notions of q-continuous and q-algebraic complete lattices. Finally, we give and examine the quasi Lawson topology on a complete lattice.  ...  This topology is always larger than or equal to the Scott topology and smaller than or equal to the strong Scott topology. Results concerning the above topology are given.  ...  The authors would like to thank the referee for very helpful comments and suggestions.  ... 
doi:10.2298/fil1501193g fatcat:umphvxukwvf5tlwzkzfui4g3li

On computational environments of topological spaces

Fangping Huang, Jihua Liang
2008 Theoretical Computer Science  
It is proved that the maximal point space of a Choquet complete weak domain is also Choquet complete.  ...  And it is also shown that Hausdorff compactifications of Tychonoff spaces can be realized via some of their computational environments.  ...  Acknowledgements The first author is very grateful to Professor Dieter Spreen and Professor Klaus Keimel for their careful reading and valuable revision opinion of this paper.  ... 
doi:10.1016/j.tcs.2008.06.022 fatcat:4qcanw55hnbzzirmqrzauawpwi

Fixed points of self maps in dp – complete topological spaces

V.Naga Raju
2013 IOSR Journal of Mathematics  
The purpose of this paper is to prove some fixed point theorems in d p -complete topological spaces which generalize the results of Troy L Hicks and B.E.Rhoades[6 ].  ...  Therefore the class of 2 d -complete topological spaces is wider than the class of d-complete spaces and hence a separate study of fixed point theorems of self-maps on 2 d -complete topological spaces  ...  Introduction In 1992, Troy L Hicks [5] introduced the notion of d-complete topological spaces as follows: 1.1 Definition: A topological space (X, t) is said to be d-complete if there is a mapping ) ,  ... 
doi:10.9790/5728-0852023 fatcat:o5lcoj3ukzfzfbrxszhikvsf34

The essence of ideal completion in quantitative form

Robert C. Flagg, Philipp Sünderhauf
2002 Theoretical Computer Science  
We introduce topological V-continuity spaces and their Smyth completion and show that this is an adequate setting to consider ideal completion of quantitative domains: Performing the Smyth completion of  ...  a V-continuity space regarded as topological V-continuity space gives the ideal completion of the original space together with its Scott topology.  ...  It is our main result that the Smyth Completion of this tV-cs yields the ideal completion of (X; d) and its Scott topology. Theorem 29.  ... 
doi:10.1016/s0304-3975(00)00334-0 fatcat:hnqnpprphfbpxmub6mav5q54j4

QUANTIFIED MODAL LOGIC ON THE RATIONAL LINE

PHILIP KREMER
2014 The Review of Symbolic Logic  
In the topological semantics for propositional modal logic, S4 is known to be complete for the class of all topological spaces, for the rational line, for Cantor space, and for the real line.  ...  In the topological semantics for quantified modal logic, QS4 is known to be complete for the class of all topological spaces, and for the family of subspaces of the irrational line.  ...  QS4 is complete for the class of all predicate topological spaces; and 2. if D is countably infinite, then QS4 is complete for the following set of predicate topological spaces: { X, τ X , D : ∅ = X ⊆  ... 
doi:10.1017/s1755020314000021 fatcat:m2cpbusajrgupjbpneul7cfhfy

The Zariski Topology for distributive lattices

Gerhard Gierz, Albert Stralka
1987 Rocky Mountain Journal of Mathematics  
If sup D exists and if D converges to sup D in the Zariski topology, then sup D is said to be a topological supremum of D relative to the Zariski topology.  ...  Both J and I x I are completely distributive, so their usual topology is the interval topology.  ... 
doi:10.1216/rmj-1987-17-2-195 fatcat:c4dkrgtr75ahbbuut5qjhm5xem
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