Positive Fixed Point of Strict Set Contraction Operators on Ordered Banach Spaces and Applications

Positive Fixed Point of Strict Set Contraction Operators on Ordered Banach Spaces and Applications

and Applied Analysis 3 wider variety of situations. Our results either improve or generalize the corresponding results due to 19–22 and many of others. As an application of our main results, we consider the existence of positive solutions for second-order differential equations with integral boundary conditions in an ordered Banach space. On the other hand, our conditions are weaker than those ...

Positive Fixed Points for Semipositone Operators in Ordered Banach Spaces and Applications

and Applied Analysis 3 by (17). From (17) we know R > r 0 /(1 − m 0 r 0 ), thus (R − r 0 )/r 0 ≥ m 0 R. This and (H3), (4), and (19) imply [y 1 − x 0 ] + = y 1 − x 0 > ( R

Ordered S-Metric Spaces and Coupled Common Fixed Point Theorems of Integral Type Contraction

In the present paper, we introduces the notion of integral type contractive mapping with respect to ordered S-metric space and prove some coupled common fixed point results of integral type contractive mapping in ordered S-metric space. Moreover, we give an example to support our main result.

Fixed Point of Multivalued Operators on Ordered Generalized Metric Spaces

Recently, Bucur, Guran and Petruşel presented some results on fixed point of multivalued operators on generalized metric spaces which extended some old fixed point theorems to the multivalued case ([1]). In this paper, we shall give some results on fixed points of multivalued operators on ordered generalized metric spaces by providing different conditions in respect to [1].

Fixed Point Theorems for Nonlinear Operators with and without Monotonicity in Partially Ordered Banach Spaces