The mapping we consider is multivalued and the contraction inequality is of integral type.
For a bifunction and a nonlinear mapping, we consider the following equilibrium problem: (1.2).
For the uniqueness of a fixed point of a generalized α-Geraghty contractive mapping, we consider the following hypothesis.
To show that is a continuous mapping, we consider and their corresponding images and It is straightforward to see that satisfies (3.30).
For the uniqueness of a fixed point of a generalized α-Geraghty contraction type mapping, we consider the following hypothesis: (K) For all x ≠ y ∈ X, there exists v ∈ X such that α ( x, v ) ≥ 1, α ( y, v ) ≥ 1 and α ( v, T v ) ≥ 1. .
By using this mapping, we consider an iterative method for finding a common element of the set of a generalized equilibrium problem of the set of solution to a system of variational inequalities, and of the set of fixed points of an infinite family of strict pseudo-contractions.
In the case of the wilderness map, we considered a species covered by a certain rank when the points of the respective rank intersected at any rate the grid cells in which that species was present.
First, with the RAD-only map we considered the (i) total number of loci detected, (ii) the percentage of polymorphic loci, (iii) the number of missing allele calls for polymorphic loci, (iv) the percentage of codominant loci, (v) segregation distortion, (vi) the number of significant singletons (vii) linkage map length, and (viii) the number, location, interaction and effect of significant QTL.
In the case of 2-D maps, we consider the Beddington, Free, and Lawton and Udwadia and Raju maps.
We do not assume any compact assumptions on the spaces and convexity assumptions on the maps we consider.
