Some common fixed point theorems for selfmappings satisfying two contractive conditions of integral type in a uniform space

Memudu Olatinwo

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In this paper we study two boundary value problems for second order strongly nonlinear differential inclusions involving a maximal monotone term. The first is a vector problem with Dirichlet boundary conditions and a nonlinear differential operator of the form $x \mapsto a {(x, x^{'})}^{'}$ . In this problem the maximal monotone term is required to be defined everywhere in the state space $ℝ^{N}$ . The second problem is a scalar problem with periodic boundary conditions and a differential operator of the form $x \mapsto {(a (x) x^{'})}^{'}$ . In this...