Advances in Operator Theory
- Adv. Oper. Theory
- Volume 3, Number 2 (2018), 326-336.
On different type of fixed point theorem for multivalued mappings via measure of noncompactness
In this paper by using the measure of noncompactness concept, we present new fixed point theorems for multivalued maps. In further we introduce a new class of mappings which are general than Meir-Keeler mappings. Finally, we use these results to investigate the existence of weak solutions to an Evolution differential inclusion with lack of compactness.
Adv. Oper. Theory Volume 3, Number 2 (2018), 326-336.
Received: 23 April 2017
Accepted: 11 September 2017
First available in Project Euclid: 15 December 2017
Permanent link to this document
Digital Object Identifier
Primary: 47H10: Fixed-point theorems [See also 37C25, 54H25, 55M20, 58C30]
Secondary: 47H08: Measures of noncompactness and condensing mappings, K-set contractions, etc. 34G25: Evolution inclusions 34A60: Differential inclusions [See also 49J21, 49K21]
Bouzara, Nour El Houda; Karakaya, Vatan. On different type of fixed point theorem for multivalued mappings via measure of noncompactness. Adv. Oper. Theory 3 (2018), no. 2, 326--336. doi:10.15352/AOT.1704-1153. https://projecteuclid.org/euclid.aot/1513328633