Fixed-point and random fixed-point theorems in cones of banach spaces

Random Fixed Point Theorems for Measurable Multifunctions in Banach Spaces

In this paper we prove several random fixed point theorems for measurable closed and nonclosed valued multifunctions satisfying general continuity conditions. Our work extends and sharpens earlier results by Engl, Itoh and Reich. 1. Preliminaries and definitions. The study of random fixed points was initiated by the Prague school of probabilists in the fifties. Recently the interest on this sub...

Common Fixed Point Theorems of Integral Type in Modular Spaces

Browder-Krasnoselskii-Type Fixed Point Theorems in Banach Spaces

1 Department of Mathematical Sciences, Florida Institute of Technology, 150 West University Boulevard, Melbourne, FL 32901, USA 2 Mathematics and Statistics Department, King Fahd University of Petroleum and Minerals, Dhahran 31261, Saudi Arabia 3 Department of Mathematics, National University of Ireland, Galway, Ireland 4 Laboratoire de Mathématiques et de Dynamique de Populations, Université C...

Fixed Point Theorems for ws-Compact Mappings in Banach Spaces

1 Department of Mathematical Sciences, Florida Institute of Technology, 150 West University Boulevard, Melbourne, FL 32901, USA 2 Mathematics and Statistics Department, King Fahd University of Petroleum and Minerals, Dhahran 31261, Saudi Arabia 3 Department of Mathematics, National University of Ireland, Galway, Ireland 4 Université Cadi Ayyad, Laboratoire de Mathématiques et de Dynamique de Po...

Fixed Point Theorems for Generalized Lipschitzian Semigroups in Banach Spaces

Fixed point theorems for generalized Lipschitzian semigroups are proved in puniformly convex Banach spaces and in uniformly convex Banach spaces. As applications, its corollaries are given in a Hilbert space, in Lp spaces, in Hardy space Hp , and in Sobolev spaces Hk,p , for 1<p <∞ and k≥ 0.