We now introduce the concept of a generalized Ćirić quasi-contraction map in generalized metric spaces.
In this paper, we first give a new fixed point theorem for generalized Ćirić quasi-contraction maps in generalized metric spaces.
Recall that the investigations of fixed points of maps in complete generalized metric spaces appeared for the first time in Diaz and Margolis [8] and Margolis [9].
Theorems 22, 23 and Corollary 24 for the solvability of QVI can be applied to generalize results by Isac and the second author [10] for QVIs involving monotone maps in a generalized sense defined on neighborhood retracts including Riemannian manifolds.
The second is also to use constrained layout, with a catalog of standard positions for common motifs in generalized maps; for example, always lay out the generalized β-oxidation of fatty acids as a 4-step cycle, with standard positions for the generalized metabolites common for all the networks that incorporate β-oxidation.
Very recently, Karapınar [5] gave the analog of the notion of a α-ψ contractive mapping, in the context of generalized metric spaces as follows.
In this work, the set-valued Caristi-type mapping in the setting of generalized metric space, as a semimetric space, is considered.
In particular, an -widely more generalized hybrid mapping is generalized hybrid in the sense of Kocourek, Takahashi and Yao [1] if α + β = − γ − δ = 1 and ε = ζ = η = 0.
If for all, and, for all, is a generalized -accretive mapping, then the problem (1.2) reduces to the following generalized nonlinear random multivalued operator equation involving generalized -accretive mapping in Banach spaces.
(2) If for all, and, for all, is a generalized -accretive mapping, then the problem (1.2) reduces to the following generalized nonlinear random multivalued operator equation involving generalized -accretive mapping in Banach spaces. .
