[PDF] Top 20 A Note on Pairwise Continuous Mappings and Bitopological Spaces

... A bitopological space (X , P , Q ) is said to be p 1 -regular if for each point x ∈ X , there is a p 1 -neighbourhood base of p 1 -closed sets, or, as is easily seen to be equivalent, if, for each point x ∈ X and ... See full document

... The notion of β-open set was introduced by Abd El- Monsef et al. [1] and Andrijevic [2]. Later on, as a generalization of the above mentioned set, πgβ sets have been introduced by Caldas and Jafari [4]. The concept of ... See full document

... paracompact bitopological spaces have K-equivalent ...of bitopological para- compactness will revert to the unitopological setting in presence of pairwise S 2 ... See full document

... Ravi O, Ekici E, LellisThivagar M et al.On (1,2)*-sets and decompositions of bitopological (1,2)*-. continuous mappings, Kochi J.[r] ... See full document

... is pairwise pre continuous and pairwise pre # -continuous; 2) f is pairwise α -continuous and pairwise α # -continuous; 3) f is pairwise weakly ... See full document

... in bitopological spaces. The supra topological spaces have been introduced by Mashhour [14] in ...topological spaces in ...semi-open mappings in bitopological ...supra ... See full document

... Pairwise semi-open, Pairwise almost compact, Pairwise S-closed, Pairwise regularly open and regularly closed, Pairwise extremal disconnectedness, Pairwise semi-continuous and irresolute [r] ... See full document

... The aim of this paper is to define and study super-continuous mappings and some other forms of continuity such as strong continuity, perfect continuity and complete continuity in bitopol[r] ... See full document

... In 1989, A. Kandil [5] introduced the notation of fuzzy bitopological space. Further in 1996, S.S. Thakur and R. Malviya [9] defined fuzzy semi-open and fuzzy semi-continuous in fuzzy bitopological ... See full document

... topological spaces. Kandil A. [5] introduced fuzzy bitopological spaces in 1991, Fuzzy semi-open sets and fuzzy semi continuous mappings in fuzzy topological spaces was studied ... See full document

... this note is to establish fixed point theorems for densifying mappings and compact mappings which are contractive in metric spaces and to investigate the existence of fixed points for a family ... See full document

... of continuous maps were introduced and studied by various authors in the recent development of ...in bitopological spaces using (1,2)*- g  ... See full document

... topological spaces using the notion of intuitionistic fuzzy ...topological spaces. In this paper we introduce intuitionistic fuzzy sgb-continuous mappings and intuitionistic fuzzy ... See full document

... The concept of generalized closed sets plays a significant role in topology. There are many research papers which deals with different types of generalized closed sets. Bhattacharya and Lahiri [4] introduced sg-closed ... See full document

... In this paper, we prove some strong and weak convergence theorems for continuous pseudocontractive mapping and a weak convergence theorem for nonexpansive mapping in real uniformly convex Banach spaces. As ... See full document

... of pairwise lightly normal ...of pairwise normal spaces and the class of pairwise almost normal spaces between the class of pairwise almost normal spaces and the class of ... See full document

... Lemma 3.1.2: Let (𝑋𝑋, 𝜏𝜏 1 , 𝜏𝜏 2 ) be a bitopological space and 𝐴𝐴 be a subset of 𝑋𝑋 . Then the following assertion hold. (𝒊𝒊) 𝑥𝑥 ∈ (𝑖𝑖, 𝑗𝑗) - 𝑔𝑔𝑐𝑐𝑐𝑐(𝐴𝐴) if and only if for every (𝑖𝑖, 𝑗𝑗) - 𝑔𝑔 - open set 𝑈𝑈 ... See full document

... In this paper we introduce g ˆˆ -closed sets [12] in bitopological spaces. Properties of these sets are investigated and we introduce two new bitopological spaces (i, j)- T ˆˆ 1/ 2 ... See full document

... of bitopological spaces was first introduced by Kelly ...a bitopological space by Kelly, a large number of topologists have turned their attention to the generalization of different concepts of a ... See full document

... solution of the cubic functional equation is said to be a cubic mapping. The stability problem for the cubic functional equation was solved by Jun and Kim 2 and Lee 3 for mappings f : X → Y , where X is a real ... See full document