IJPAM: Volume 109, No. 2 (2016)
AND EXISTENCE RESULTS FOR POWER SET
Department of Mathematics
Yildiz Technical University
Esenler, Istanbul, 34220, TURKEY
Abstract. In this paper, we present a new iteration for set contraction mappings in a Banach space. In further, we introduce the concept of set stability for these class of mappings. Finally, we present some results on the existence of fixed points for power set contraction mappings, these results include in special case many results existing in literature like Darbo and generalized Darbo fixed point theorems.
Received: March 8, 2016
AMS Subject Classification: 47H10, 47H08
Key Words and Phrases: set contraction, measure of noncompactness, fixed point, iteration, stability
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DOI: 10.12732/ijpam.v109i2.3 How to cite this paper?
Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Pages: 193 -