• Korean Journal of Mathematics
• /
• v.27 no.3
• /
• pp.629-643
• /
• 2019

In common fixed point problems in metric spaces several versions of weak commutativity have been considered. Mappings which are not compatible have also been discussed in common fixed point problems. Here we consider common fixed point problems of non-compatible and R-weakly commuting mappings in probabilistic semimetric spaces with the help of a control function. This work is in line with research in probabilistic fixed point theory using control functions. Further we support our results by examples.

• Korean Journal of Mathematics
• /
• v.29 no.3
• /
• pp.455-466
• /
• 2021

Coupled fixed point results have attracted much attention among the researchers in recent times specially in the field of fuzzy metric spaces. In this paper we established a coupled fixed point result for weakly compatible mappings in G-fuzzy metric spaces. We have deduced a corollary to our main theorem. Our result also supported by examples.

• Journal of the Chungcheong Mathematical Society
• /
• v.30 no.2
• /
• pp.227-238
• /
• 2017

The existence of solutions for nonlinear elliptic partial differential equations with general flux and damping terms is investigated.

• 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.

• Bulletin of the Korean Mathematical Society
• /
• v.41 no.3
• /
• pp.413-418
• /
• 2004

Invertible and isometric composition operators acting on vector-valued Hardy space $H^2$(E) are characterized.

• Communications of the Korean Mathematical Society
• /
• v.20 no.1
• /
• pp.63-70
• /
• 2005

In this paper we study bounded and compact weighted composition operator, induced by a fixed analytic function and an analytic self-map of the open unit disk, from Bergman space into weighted Bloch space. As a corollary, obtain the characterization of composition operator from Bergman space into weighted Bloch space.

• Kyungpook Mathematical Journal
• /
• v.47 no.2
• /
• pp.253-265
• /
• 2007

In this paper, the boundedness for some multilinear operators generated by singular integralv operators and Lipschitz functions on Hardy and Herz-type spaces are obtained.

• Honam Mathematical Journal
• /
• v.31 no.2
• /
• pp.239-245
• /
• 2009

In this paper, we introduce the notions of m-semiopen sets and M-semicontinuous functions on spaces with minimal structures and study some properties of such notions. In particular, we investigate characterizations for the M-semicontinuous function and the relationship between M-continuity and M-semicontinuity.

• The Pure and Applied Mathematics
• /
• v.15 no.3
• /
• pp.221-227
• /
• 2008

We introduce and study the new concepts of interior and closure operators on strong generalized neighborhood spaces. Also we introduce and investigate the concept of sgn-continuity on SGNS.

• Journal of the Korean Mathematical Society
• /
• v.43 no.3
• /
• pp.677-690
• /
• 2006

We show that a group of three closure properties including the selectively Pytkeev property coincide on $C_k$(X) for a locally compact X. We also introduce a new game characterization of these properties for such spaces.