• Journal of the Korean Institute of Intelligent Systems
• /
• v.21 no.2
• /
• pp.250-253
• /
• 2011

In this paper, we study characterizations of fuzzy weakly r-M continuous function on r-minimal structures in terms of generalized fuzzy r-minimal open sets.

• East Asian mathematical journal
• /
• v.19 no.2
• /
• pp.241-249
• /
• 2003

In [11] the feeble continuity is introduced and then the weak and strong forms of feeble(or, equivalently $\alpha$-continuity) continuity are studied. In this note, we introduce a type of function called a slightly $\alpha$-continuous function and study several properties of it

• International Journal of Fuzzy Logic and Intelligent Systems
• /
• v.10 no.4
• /
• pp.303-307
• /
• 2010

In this paper, we introduce the concept of fuzzy weakly r-minimal continuous function between a fuzzy r-minimal space and a fuzzy topological space. We investigate characterizations and some properties for the continuity.

• Journal of the Chungcheong Mathematical Society
• /
• v.24 no.3
• /
• pp.409-415
• /
• 2011

We introduce the notion of weakly quasi generalized continuous functions, and investigate properties for the continuity.

• Korean Journal of Mathematics
• /
• v.20 no.1
• /
• pp.117-123
• /
• 2012

We provide a convergence analysis of Newton's method for set valued maps under center H$\ddot{o}$lder continuity conditions on the Fr$\acute{e}$chet derivative of the operator involved. This approach extends the applicability of earlier works [4,5,7].

• The Pure and Applied Mathematics
• /
• v.19 no.4
• /
• pp.423-435
• /
• 2012

We give some properties of weak Bloch functions and also give some properties of ${\phi}$-uniform domains and ${\phi}$-John domains in terms of moduli of continuity of Bloch functions and weak Bloch functions.

• Journal of the Chungcheong Mathematical Society
• /
• v.24 no.1
• /
• pp.11-17
• /
• 2011

We introduce the notion of weak M-precontinuity which is a generalization of M-precontinuity defined between spaces with minimal structures. We also investigate some properties and characterizations for the continuity.

• East Asian mathematical journal
• /
• v.27 no.3
• /
• pp.261-271
• /
• 2011

In this paper, fuzzy ${\alpha}^*$-set, fuzzy C-set, fuzzy AB-set, fuzzy t-set, fuzzy B-set, etc., are introduced in the sense of Sostak [12] and Ramadan [9]. By using these sets, a decomposition of fuzzy continuity and complete fuzzy continuity are provided. Characterization of smooth fuzzy extremally disconnected spaces is also obtained in this connection.

• Communications of the Korean Mathematical Society
• /
• v.33 no.3
• /
• pp.985-999
• /
• 2018

This paper is devoted to the existence and uniqueness of $L^p$ (p > 1) solutions for general time interval multidimensional backward stochastic differential equations (BSDEs for short), where the generator g satisfies a ($p{\wedge}2$)-order weak monotonicity condition in y and a Lipschitz continuity condition in z, both non-uniformly in t. The corresponding stability theorem and comparison theorem are also proved.

• International Journal of Fuzzy Logic and Intelligent Systems
• /
• v.12 no.1
• /
• pp.66-76
• /
• 2012

In this paper, we introduce the concept of ordinary smooth topology on a set X by considering the gradation of openness of ordinary subsets of X. And we obtain the result [Corollary 2.13] : An ordinary smooth topology is fully determined its decomposition in classical topologies. Also we introduce the notion of ordinary smooth [resp. strong and weak] continuity and study some its properties. Also we introduce the concepts of a base and a subbase in an ordinary smooth topological space and study their properties. Finally, we investigate some properties of an ordinary smooth subspace.