[PDF] Top 20 New fixed point theorems on order intervals and their applications

... Fixed point theory has been an important tool in the study of differential and integral equa- tions [, ], economics [], optimization and game theory [] among ... See full document

... wide applications in microeconomics, the nuclear industry, and so on (see [1, ...important fixed point theorems for mixed monotone operators, see [3-5] and the references ...some new ... See full document

... Fixed point theory has played important roles in traditional equilibrium theory, varia- tional inequalities and optimization theory (see ...[–]). Fixed point theorems have been ... See full document

... Problems concerning the existence of fixed points of Lipschitz map have been of considerable interest in the theory of nonlinear operator. The study of nonlinear operators had its beginning about the start of the ... See full document

... the order- theoretic fixed point theorem and isotone selection theorems to obtain some existence theorems for discontinuous quasi-equilibrium ... See full document

... the fixed point has important applications in fields such as differential equations, equilibrium pro- blems, variational inequality, optimization problems, maxmin problems ...many new types of ... See full document

... a new result, which is different from Theorem ...We point out that the underlying strategy spaces of multiobjective noncooperative game models in [] are compact finite dimensional spaces and the payoff ... See full document

... Lomonosov [] proved in  that any nonscalar operator on a Banach space that com- mutes with a nonzero compact operator has a nontrivial hyperinvariant subspace. The re- sult of Lomonosov came into the scene like a ... See full document

... of fixed point in partially ordered sets has been considered recently in ...existence theorems for fuzzy differential ...some applications to matrix equations and to ordinary differential ... See full document

... The invariant subspace problem is probably the problem of operator theory. The question, that attracted the attention of great deal of mathematicians is quite simple to state . Given a Banach space X and an operator T ∈ ... See full document

... coupled fixed point was introduced and studied by Opoitsev [13, 14] and then by Guo and Lakhsmikantham ...coupled fixed points in connection to contractive type ...coupled fixed point ... See full document

... Metric fixed point theory is an important mathematical discipline because of its applications in areas such as variational and linear inequalities, optimization, and approximation ... See full document

... Sims,fixed point theorems for contractive mappings in complete G-metric spaces, Fixed Point Theory and Applications, Volume 2009, Article ID 917175. Rhoades, Fixed Point [r] ... See full document

... Chen, Some new fixed point theorems for set-valued contractions in complete metric spaces, Fixed Point Theory Appl. Liu, Common fixed point theorems for sequences of Φ -type contraction [r] ... See full document

... Kumam, Fixed point theorems for contraction mapping in modular metric spaces, Fixed Point Theory and Applications, (2011)", the authors have studied and introduced some ... See full document

... scheme 1.6 reduces to the three-step iteration with errors defined by 12, 13, and others. The purpose of this paper is to study the iterative sequences 1.6 to converge to a common fixed point of three ... See full document

... Fixed point theorems of sequential mapping with geometric mean contraction and its applications, Preprint..[r] ... See full document

... some fixed point theorems in cone metric spaces showing that metric spaces really doesnot provide enough space for the fixed point ...unique fixed point for a selfmap T of ... See full document

... Frigon in , see [], proved useful generalizations of the Ekeland variational princi- ple and Caristi’s fixed point theorem in complete gauge spaces. However, in establishing her results, she does not require ... See full document

... For applications of IFSs in image processing theory, in the theory of stochastic growth models, and in the theory of random dynamical systems, one can consult ... See full document