Fixed points of mixed non-monotone tripled operators in ordered Banach spaces and applications

Abstract

This paper is concerned with a class of mixed non-monotone tripled operators under the general conditions of ordering relations in ordered Banach spaces. By means of the cone theory and technique of equivalent norms, the existence and uniqueness of fixed points for such tripled operators are established. The proof method in this paper is different from those used in the former relevant theorems. At last, an application is presented to illustrate our result. We extend some previous existing results. c 2016 all rights reserved.

Existence and uniqueness of solutions for a class of nonlinear integro-differential equations on unbounded domains in Banach spaces

“…The theory of nonlinear integro-differential equations in abstract spaces is a fast growing field with important applications to a number of areas of analysis as well as other branches of science [1]. In recent years, there has been a significant development in nonlinear integro-differential equations (see [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15][16][17][18][19][20] and the references therein).…”