[PDF] Top 20 Fixed point theorems for a class of mixed monotone operators with convexity

... α-convex operators by means of the properties of cone, concave operators and the monotonicity of set-valued ...α-convex operators is new and the method is also new and different from previous ... See full document

... fixed-point theorems for mono- tone ...fixed point for a class of monotony ...fixed-point theorems and coincidence-point theorems for mixed monotone ... See full document

... () for any fixed y, C(·, y) : P → P is concave; for any fixed x, C(x, ·) : P → P is convex. Also we study the solution of the nonlinear eigenvalue equation A(x, x) + B(x, x) + C(x, x) = λx and discuss its properties. As ... See full document

... The results in essence extend and generalize recent related results, see [10-12] and the references therein. As an application, we apply our main fixed point theorem to study a class of nonlinear ... See full document

... In this paper, we extend the main results of 9 to mixed monotone operators. Without demanding compactness and continuity conditions and the existence of upper and lower solutions, we study the ... See full document

... The class of middle point linear operators, which are defined in Definition ...convex operators in the sense of ...affine operators. However, as shown in Example 3.3, middle point ... See full document

... tripled fixed point for nonlinear mappings in partially ordered complete metric spaces and obtained its ...a class of mixed monotone operators with ...tripled fixed ... See full document

... to mixed monotone operators with cer- tain concavity and convexity; for example, see [, , , , , , ...fixed point of mixed monotone ...fixed point theorem ... See full document

... Mixed monotone operator is an important nonlinear ...of mixed monotone operators in partially ordered Banach spaces requires compactness, continuity or concavity-convexity of the ... See full document

... fixed point theorems for monotone operators in partially ordered complete metric spaces are ...fixed point for a class of monotone operators is ... See full document

... coincidence point theorems for a w ∗ -compatible mapping in partially ordered cone metric spaces over a solid cone without the mixed g-monotone ...wider class of ...fixed point in ... See full document

... “Coupled fixed points for mixed monotone condensing operators and an existence theorem of the solutions for a class of functional equations arising in dynamic programming,” Journal of ... See full document

... convergence theorems of the sequence generated by the algorithm to a zero of the sum of two monotone operators and fixed point of mappings are ... See full document

... fixed point for mixed monotone operators, and further obtained their applications to integral ...fixed point and proved some related theorems for contractive type operators ... See full document

... fixed point theorems for the mixed monotone operators F : X × X → X obtained in (Choudhury and Maity in ...the mixed monotone property with another property which is ... See full document

... Mixed monotone operators were introduced by Guo and Lakshmikantham in 1 in ...of operators in Banach spaces and obtained a lot of interesting and important ...uniqueness theorems of ... See full document

... Khojasteh, F, Razani, A: Fixed point theorems for single-valued and multi-valued mixed monotone operators of Meir-Keeler type. Nonlinear Convex Anal[r] ... See full document

... fixed point (a notion introduced by Guo and Lakshmikantham) in the setting of partially or- dered metric spaces by introducing the notion of mixed monotone ... See full document

... Banach’s Fixed Point Theo- rem (or Banach ’ s Contractive Principle) to establish the existence of solutions for non- linear operator equations and integral ... See full document

... Liang, “Fixed point theorems for a class of nonlinear operators and their applications,” Acta Mathematica Sinica. Chinese Series, vol[r] ... See full document