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Research on Some Problems for Nonlinear Operators in the Z-Z-B Space.
- Source :
-
Mathematics (2227-7390) . Jul2022, Vol. 10 Issue 13, p2217-N.PAG. 10p. - Publication Year :
- 2022
-
Abstract
- In this paper, we first propose a new concept of Z-Z-B spaces, which is a generalization of Z-C-X spaces. Meanwhile, the new concept of the superior cone is introduced. Secondly, we study some new problems for semi-closed 1-set-contractive operators in the Z-Z-B space and obtain some new results. These new theorems are proven by combining partial order theory with fixed point index theory. Regarding these theorems, in the latter part of the paper, the proofs are omitted since the methods of proving these theorems are similar. Moreover, two important inequality lemmas are proven. [ABSTRACT FROM AUTHOR]
- Subjects :
- *NONLINEAR operators
*FIXED point theory
*NONLINEAR equations
*OPERATOR equations
Subjects
Details
- Language :
- English
- ISSN :
- 22277390
- Volume :
- 10
- Issue :
- 13
- Database :
- Academic Search Index
- Journal :
- Mathematics (2227-7390)
- Publication Type :
- Academic Journal
- Accession number :
- 157999256
- Full Text :
- https://doi.org/10.3390/math10132217