CAJ | 학술논문

为获得锥内部为空的特殊锥度量空间中序列的收敛性概念，以及这类锥度量空间的度量化，利用锥的正规性，通过锥中收敛于零元的向量序列定义了收敛序列、柯西序列和完备；为得到这类锥度量空间的度量化问题，利用控制锥度量的向量的范数的下确界定义了一种由锥度量诱导的实度量。证明了锥内部为空的锥度量空间中的序列收敛、柯西序列和相应的空间完备与诱导的实度量定义的序列收敛、柯西序列和相应的空间完备是等价的，即得到了锥内部为空的锥度量空间的一种度量化。作为应用，利用修改距离函数，证明了这种特殊锥度量空间中的一个不动点定理。
위획득추내부위공적특수추도량공간중서렬적수렴성개념，이급저류추도량공간적도양화，이용추적정규성，통과추중수렴우령원적향량서렬정의료수렴서렬、가서서렬화완비；위득도저류추도량공간적도양화문제，이용공제추도량적향량적범수적하학계정의료일충유추도량유도적실도량。증명료추내부위공적추도량공간중적서렬수렴、가서서렬화상응적공간완비여유도적실도량정의적서렬수렴、가서서렬화상응적공간완비시등개적，즉득도료추내부위공적추도량공간적일충도양화。작위응용，이용수개거리함수，증명료저충특수추도량공간중적일개불동점정리。
In order to get the concept of convergence of sequence in the cone metric space with cone having no interiors and the metrizablity of this type of cone metric space, this paper defined convergence consequence, Cauchy sequence and completion by using the property of normal cone; further, defined a real metric induced by cone metric by norm of vector that controls the cone metric of cone metric space with cone having no interiors, then it is proved to be equivalent between convergence consequence, Cauchy sequence and complete defined by cone metric and convergence consequence, Cauchy sequence and complete defined by real metric induced by cone metric, and a type of metrizability for this type of cone metric space with cone having no interiors is derived. By using altering distance function, this study proved the theorem of a type of fixed point in the special type of cone metric space.