In the last two decades, EP(1.1) has been generalized and extensively studied in many directions due to its importance (see, for example, [2, 3, 4, 5, 6] and references therein for the literature on the existence of solution of the various generalizations of EP(1.1)).
This setting generalizes the extensively studied ray search (or star search) problem, in which the searcher seeks a single target.
Recently, the equilibrium problem has been extensively generalized to the vector mappings (see [6 8, 10 16]).
Generalized methods rely extensively on data mining of sequence information, gene expression datasets, functional annotations and/or protein protein interactions.
The Fibonacci and the Lucas sequence have been studied extensively and generalized in many ways.
The important generalization of variational inequalities, called variational inclusions, have been extensively studied and generalized in different directions to study a wide class of problems arising in mechanics, optimization, nonlinear programming, economics, finance and applied sciences, and so forth; see, for example [1 7] and references theirin.
In [15], the impulsive functions are required to be ordered increasing; therefore, Theorem 4.1 in this paper extensively generalizes the main results in [15].
During the recent years, equilibrium problem has been extensively studied and generalized (e.g., [2, 3]).
In the last fifty years, the Banach contraction principle has been extensively studied and generalized on many settings.
In the last 50 years, the Banach contraction principle has been extensively studied and generalized in many settings.
