On fixed point theorems of Leray--Schauder type

Common Fixed Point Theorems of Integral Type in Modular Spaces

The Abdus Salam International Centre for Theoretical Physics a Borsuk-ulam Type Generalization of the Leray-schauder Fixed Point Theorem

A generalization of the classical Leray-Schauder fixed point theorem, based on the infinitedimensional Borsuk-Ulam type antipode construction, is proposed. Two completely different proofs based on the projection operator approach and on a weak version of the well known Krein-Milman theorem are presented. MIRAMARE – TRIESTE May 2007 [email protected]; [email protected]

On Multivalued Caristi Type Fixed Point Theorems

In this paper, we prove some multivalued Caristi type fixed point theorems. These results generalize the corresponding generalized Caristi’s fixed point theorems due to Kada-Suzuki-Takahashi (1996), Bae (2003), Suzuki (2005), Khamsi (2008) and others. 2000 Mathematics Subject Classification: 47H09, 54H25.

Fixed Point Theory and Generalized Leray–schauder Alternatives for Approximable Maps in Topological Vector Spaces

Some new fixed point theorems for approximable maps are obtained in this paper. Homotopy results, via essential maps, are also presented for approximable maps.

Edelstein Type Fixed Point Theorems

Recently, Suzuki [Nonlinear Anal. 71 (2009), no. 11, 5313–5317.] published a paper on which Edelstein’s fixed theorem was generalized. In this manuscript, we give some theorems which are the generalization of the fixed theorem of Suzuki’s Theorems and thus Edelstein’s result [J. London Math. Soc. 37 (1962), 74-79].