# (m;m')-Weakly open maps

## Related Articles

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We continue the study of relatively almost countably compact subsets. We also give positive answers to some questions posed in [9] and [10].

- Weak contractions in Menger spaces-II. Sastry, K. P. R.; Babu, G. V. R.; Sandhya, M. L. // Journal of Advanced Research in Pure Mathematics;2010, Vol. 2 Issue 1, p65
We introduce weak contraction associated with two selfmaps and obtain common fixed point theorems in Menger spaces. Further, we extend the notion of weak contraction to a sequence of selfmaps and prove the existence of common fixed points for a sequence of selfmaps.

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We define gÎ¼-closed sets in generalized topological spaces and IgÎ¼-closed sets in generalized topological spaces with a hereditary class and give characterizations and properties of these sets.

- New separation axioms via gËœ-p-open sets. Devi, R.; Sarsak, M. S.; Selvakumar, A.; Jeevitha, R. // Journal of Advanced Research in Pure Mathematics;2010, Vol. 2 Issue 1, p84
In this paper we introduce and study some new separation axioms by utilizing the notion of g~-p-open sets.

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We define Îº-separated sets in generalized topological spaces for each cardinal number Îº and in particular, we discuss n-separation, â„µ0-separation and c-separation of generalized topological spaces. Also, we introduce Îº-connected generalized topological spaces and discuss their...

- Homotopy Characterization of ANR Function Spaces. Smrekar, Jaka // Journal of Function Spaces & Applications;2013, p1
Let Y be an absolute neighbourhood retract (ANR) for the class of metric spaces and let X be a topological space. Let YX denote the space of continuous maps from X to Y equipped with the compact open topology. We show that if X is a compactly generated Tychonoff space and Y is not discrete, then...

- Semi-local functions in ideal topological spaces. Khan, M.; Noiri, T. // Journal of Advanced Research in Pure Mathematics;2010, Vol. 2 Issue 1, p36
In this paper we define a semi-local function A*(I, Î¤) by using semi-open sets in an ideal topological space (X,Î¤,I). Some properties and characterizations of a semi-local function are explored. Semi-compatible spaces are also defined and investigated.

- Coupled coincidence points of Ï† almost generalized contractive mappings in partially ordered metric spaces. Babu, G. V. R.; Subhashini, P. // Journal of Advanced Research in Pure Mathematics;2013, Vol. 5 Issue 4, p1
Let (X, â©½) be a partially ordered set, F : X Ã— X â†’ X, g : X â†’ X. We introduce 'Ï†-almost generalized contractive map F associated with g in two variables' and prove the existence of coupled coincidence points in partially ordered metric spaces. Our results generalize...

- Further properties of g~-continuous functions. Rajesh, N. // Journal of Advanced Research in Pure Mathematics;2009, Vol. 1 Issue 3, p32
In [15] the authors, introduced the notion of ~g-continuity and investigated its fundamental properties. In this paper, we investigate some more properties of this type of continuity.