한국수학교육학회지시리즈B:순수및응용수학
- P-ISSN : 3059-0604
- E-ISSN : 3059-1309
- Publisher : 한국수학교육학회
4개 논문이 있습니다.
This paper is focused on introducing and studying a new class of spaces called fuzzy pre Volterra spaces with the help of fuzzy pre dense and fuzzy pre Gδ-sets. Examples are given to illustrate the concepts and by using these concepts, to explore several interesting characterizations of fuzzy pre Volterra spaces in this paper. Also we examine the notions of fuzzy Volterra spaces and fuzzy pre Volterra spaces are independent to each other.
The notions of complex fuzzy ideals in the sense of min-complex t-norm are introduced, and their relations and related properties are investigated. We explored the properties of sufficient and necessary conditions for complex fuzzy ideals.
We introduce wavelet amenable frames which are generated by the cyclic actions of a pair of special kind of operators on a single vector in separable Hilbert spaces and discuss some of its aspects. Frame operators of these frames are characterized. A necessary and sufficient condition for a pair of wavelet amenable frames to become canonical dual frames to each other is also obtained by observing an intertwining property of the frame operator.
In this paper, we prove the existence of coincidence points under nonlinear contraction on the settings of metric spaces endowed with an arbitrary binary relation. A suitable non-trivial example is provided to validate the claims of such findings. In addition, we also present an application for the utility of such newly obtained coincidence point results by solving the system of nonlinear fractional differential equations of Caputo type.