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1
Content available remote Iterates of q-Bernstein operators on triangular domain with all curved sides
EN
In this article, Phillips-type Bernstein operators (Btm,qF)(t,s) and (Bsn,qF)(t,s) , their products, and Boolean sum based on q-integer have been studied on a triangle with all curved sides. Furthermore, convergence of iterates of these operators have been analyzed using the weakly Picard operators technique and the contraction principle.
2
Content available remote A fixed point theorem for multi-valued weakly Picard operators in b-metric space
EN
In this paper, we establish a fixed point theorem for multi-valued operators in a complete b-metric space using the concept of Berinde and Berinde [9] on multi-valued weak contractions for the Picard iteration in a metric space. Our main result generalizes, extends and improves some of the recent results of Berinde and Berinde [9] as well as those of Daffer and Kaneko [17] and also unifies several classical results pertainning to single and multi-valued contractive mappings in the literature.
3
Content available remote Selections and common fixed points for some generalized multivalued contractions
EN
We show that some generalized multivalued contractions admit selections which are Caristi type mappings. Another purpose of this paper is to give a common fixed point theorem for two multivalued contractive type mappings defined on a closed ball of a complete metric space with values in the set of all nonempty and closed subsets of this space.
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