In this paper, we introduce the notion of weakly e-continuous functions in topological spaces. Weak s-contlnulty and subweak continuity due to Rose [i] are independent of each other and are implied by weak continuity due to Levlne [2]. It is shown that weakly e-continuous surjections preserve connected spaces and that weakly e-contlnuous functions into regular spaces are continuous. Corollary i...

Let E be a q-uniformly smooth Banach space possessing a weakly sequentially continuous duality map (e.g., `p, 1 < p < ∞). Let T be a Lipschitzian pseudocontractive selfmapping of a nonempty closed convex and bounded subset K of E and let ω ∈ K be arbitrary. Then the iteration sequence {zn} defined by z0 ∈ K, zn+1 = (1 − μn+1)ω + μn+1yn; yn = (1 − αn)zn + αnTzn, converges strongly to a fixed poi...

In the present paper‎, ‎we show the existence of a coupled fixed point for a non-decreasing mapping in partially ordered complete metric space using a partial order induced by an appropriate function $phi$‎. ‎We also define the concept of weakly related mappings on an ordered space‎. ‎Moreover common coupled fixed points for two and three weakly related mappings are also proved in the same space‎.

A term is weakly shallow if each defined function symbol occurs either at the root or in the ground subterms, and a term rewriting system is weakly shallow if both sides of a rewrite rule are weakly shallow. This paper proves that non-E-overlapping, weakly-shallow, and noncollapsing term rewriting systems are confluent by extending reduction graph techniques in our previous work [SO10] with tow...

Abstract A graph G is weakly $$\gamma $$ γ -closed if every induced subgraph of contains one vertex v such that for each non-neighbor u it holds \vert N(u)\cap N(v) &lt;\gamma | N ( u ) ∩ v...