It seems that the mathematicians, for example, use discursive thought because they assume the starting points, i.e., the axioms or definitions, of their sciences.
In the recent literature, a wide-ranging discussion of fixed point theorems for admissible mappings had the interest of several mathematicians, for example, see [6 12].
Since then, these have been thoroughly developed by several mathematicians, for example, Amemiya [2], Koshi and Shimogaki [3], Yamamuro [4], Orlicz [5], Mazur [6], Musielak [7], Luxemburg [8], Turpin [9].
The notion of well-posedness of a fixed point problem has evoked much interest to several mathematicians, for example, De Blasi and Myjak [19], Lahiri and Das [20], Popa [21, 22] and others.
From the point of view of a mathematician, for example, the most important aspect of a conjecturing task might be the goal, the conjecture that results from the conjecturing activity, and how that conjecture expands the sphere of potential mathematical knowledge (Thurston, 1994).
Much important combinatorial work has been done by applied mathematicians and physicists since the mid-20th century—for example, the work on Ising models (see below The Ising problem).
Furthermore, because solid mechanics poses challenging mathematical and computational problems, it (as well as fluid mechanics) has long been an important topic for applied mathematicians concerned, for example, with partial differential equations and with numerical techniques for digital computer formulations of physical problems.
For several years, the study of fixed point theory for multi-valued nonlinear mappings has attracted, and continues to attract, the interest of several well known mathematicians (see, for example, Brouwer [1], Chang [2], Chidume et al. [3], Denavari and Frigon [4], Yingtaweesittikul [5], Kakutani [6], Nash [7, 8], Geanakoplos [9], Nadler [10], Downing and Kirk [11]).
For decades, the study of fixed point theory for multi-valued nonlinear mappings has attracted, and continues to attract, the interest of several well-known mathematicians (see, for example, Brouwer [1], Kakutani [2], Nash [3, 4], Geanakoplos [5], Nadla [6], Downing and Kirk [7]).
The "analytical engine" of mathematician Charles Babbage, for example, laid the technical foundations of the computer in 1834, and Edward Butler ushered in the automobile age by patenting the first motorcycle in 1884.
The "analytical engine" of mathematician Charles Babbage, for example, laid the technical foundations of the computer in 1834, while Edward Butler ushered in the automobile age by patenting the first motorcycle in 1884.
