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

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

doi:10.4134/ckms.2012.27.4.709
fatcat:oywisd7y3jcnzahig5ypfmmfjy
*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] . ...##
###
Helical magnetic ordering in Tb completely suppressed by uniaxial tension: Evidence of electronic topological transition and support for the nesting hypothesis

2000
*
Physical Review B (Condensed Matter)
*

This range diminishes rapidly as uniaxial tension is applied,

doi:10.1103/physrevb.62.13844
fatcat:7pbfxi52dfdhrjz3xmukzpad2q
*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. ...##
###
Complete amino acid sequence and predicted membrane topology of phenobarbital-induced cytochrome P-450 (isozyme 2) from rabbit liver microsomes

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. ...

##
###
Complete topologized posets and semilattices

2022
*
arXiv
*
pre-print

In this paper we discuss

arXiv:1806.02869v3
fatcat:k3jxmydehff3tnwo75veusskki
*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*D*∈*D*(*and*sup*D*∈*D*).*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*). ...##
###
On d*-Complete Topological Spaces and Related Fixed Point Results

2020
*
Mathematics
*

In this paper, we introduce

doi:10.3390/math8091447
fatcat:pkaexinndzg4lhigivsr7cydtm
*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). ...##
###
Atsuji completions vis-à-vis hyperspaces

2008
*
Mathematica Slovaca
*

A metric space (X,

doi:10.2478/s12175-008-0089-9
fatcat:y2rl2vsz7bacfdd4273b5uw7va
*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. ...##
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On the lattice of Fréchet-Nikodým topologies

1987
*
Journal of Mathematical Analysis and Applications
*

Weber [9]

doi:10.1016/0022-247x(87)90268-x
fatcat:nntyrpm2vbciph4sxcp4eu4e5u
*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. ...##
###
Topological categories

1984
*
Topology and its Applications
*

Such categories provide a setting for general

doi:10.1016/0166-8641(84)90029-4
fatcat:3o5bicxsbzacrhdtafi6f2w3oe
*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. ...##
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A decomposition theorem for complete comodule algebras over complete Hopf algebras

1998
*
Colloquium Mathematicum
*

In particular ,

doi:10.4064/cm-74-2-243-252
fatcat:oz5v62rdlfembge7nfcmhxzdti
*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 ...##
###
The quasi Scott (Lawson) topology and q-continuous (q-algebraic) complete lattices

2015
*
Filomat
*

Also, we introduce

doi:10.2298/fil1501193g
fatcat:umphvxukwvf5tlwzkzfui4g3li
*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. ...##
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On computational environments of topological spaces

2008
*
Theoretical Computer Science
*

It is proved that

doi:10.1016/j.tcs.2008.06.022
fatcat:4qcanw55hnbzzirmqrzauawpwi
*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. ...##
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Fixed points of self maps in dp – complete topological spaces

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 ) , ...

##
###
The essence of ideal completion in quantitative form

2002
*
Theoretical Computer Science
*

We introduce

doi:10.1016/s0304-3975(00)00334-0
fatcat:hnqnpprphfbpxmub6mav5q54j4
*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. ...##
###
QUANTIFIED MODAL LOGIC ON THE RATIONAL LINE

2014
*
The Review of Symbolic Logic
*

In

doi:10.1017/s1755020314000021
fatcat:m2cpbusajrgupjbpneul7cfhfy
*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 ⊆ ...##
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The Zariski Topology for distributive lattices

1987
*
Rocky Mountain Journal of Mathematics
*

If sup

doi:10.1216/rmj-1987-17-2-195
fatcat:c4dkrgtr75ahbbuut5qjhm5xem
*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*. ...
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