A fixed-point theorem for ordered contraction-type decreasing operators in Banach space with lattice structure. (English) Zbl 1442.47038
Summary: In this work, we mainly improve the results in [A. Amini-Harandi and H. Emami, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 72, No. 5, 2238–2242 (2010; Zbl 1197.54054)]. By introducing a new kind of ordered contraction-type decreasing operator in Banach space, we obtain a unique fixed point by using the iterative algorithm. An example is also presented to illustrate the theorem.
MSC:
| 47H10 | Fixed-point theorems |
| 47H07 | Monotone and positive operators on ordered Banach spaces or other ordered topological vector spaces |
| 47J26 | Fixed-point iterations |
Citations:
Zbl 1197.54054References:
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