Mönch type Leray--Schauder alternatives for maps satisfying weakly countable compactness conditions

Leray–schauder Type Alternatives and the Solvability of Complementarity Problems

We present in this paper several existence theorems for nonlinear complementarity problems in Hilbert spaces. Our results are based on the concept of “exceptional family of elements” and on Leray–Schauder type altrenatives.

A Leray-schauder Alternative for Weakly-strongly Sequentially Continuous Weakly Compact Maps

This paper presents new fixed point results for weakly sequentially upper semicontinuous maps defined on locally convex Hausdorff topological spaces which are angelic when furnished with the weak topology. Moreover, we establish an applicable Leray-Schauder alternative (Theorem 2.12) for a certain subclass of these maps. Our alternative combines the advantages of the strong topology (i.e., the ...

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.

On Some Nonlinear Alternatives of Leray-schauder Type and Functional Integral Equations

Nonlinear functional integral equations have been discussed in the literature extensively, for a long time. See for example, Subramanyam and Sundersanam [15], Ntouyas and Tsamatos [14], Dhage and Regan [10] and the references therein, Recently, the present author, in a series of papers [4, 6] initiated the study of nonlinear integral equations in a Banach algebra via fixed point techniques. In ...

Some Fixed Point Theorems for Weakly Compatible Multivalued Mappings Satisfying Some General Contractive Conditions of Integral Type