in this paper, some recent results established by marin borcut [m. borcut, tripled fixed point theorems for monotone mappings in partially ordered metric spaces, carpathian j. math. 28, 2 (2012), 207--214] and [m. borcut, tripled coincidence theorems for monotone mappings in partially ordered metric spaces, creat. math. inform. 21, 2 (2012), 135--142] are generalized and improved, with much sho...

In this paper, we introduce and study some new classes of invex sets preinvex functions with respect to an arbitrary function k the bifunction ?(.,.); which are called generalized functions. These nonconvex include function, convex k-convex as special cases. We properties It is shown that minimum on can be characterized by a class variational inequalities, directional variational-like inequalit...

In this paper, we introduce an iterative scheme Ishikawa-type for finding a common element of the set EP (G) of the equilibrium points of a bifunction G and the set Fix(T ) of fixed points of a nonexpansive mapping T in a Hilbert space H. We prove that the method converges strongly to an element z ∈ Fix(T ) T EP (G) which is the unique solution of the variational inequality 〈(A− γf)z, x− z〉 ≥ 0...

In this paper, some recent results established by Marin Borcut [M. Borcut, Tripled fixed point theorems for monotone mappings in partially ordered metric spaces, Carpathian J. Math. 28, 2 (2012), 207--214] and [M. Borcut, Tripled coincidence theorems for monotone mappings in partially ordered metric spaces, Creat. Math. Inform. 21, 2 (2012), 135--142] are generalized and improved, with much sho...

In this paper, we investigate a new extragradient algorithm for solving pseudomonotone equilibrium problems on Hadamard manifolds. The uses variable stepsize which is updated at each iteration and based some previous iterates. convergence analysis of the proposed discussed under mild assumptions. case where bifunction strongly pseudomonotone, $R$-linear rate formulated. A fundamental experiment...

A general notion of completely monotone functionals on an ordered Banach algebra B into a proper H*-algebra A with an integral representation for such functionals is given. As an application of this result we have obtained a characterization for the generalized completely continuous monotone functions on weighted foundation semigroups. A generalized version of Bochner’s theorem on foundation se...

The minimax theorem for a convex-concave bifunction is a fundamental theorem in optimization and convex analysis, and has a lot of applications in economics. In the last two decades, a nonconvex extension of this minimax theorem has been well studied under various generalized convexity assumptions. In this note, by exploiting the hidden convexity (joint range convexity) of separable homogeneous...