The development of the lesser appleworm,Grapholita prunivora (Walsh), was studied using immature apples as the food source. Degree-hour developmental rates for all life stages were calculated. Developmental rates in degree-hours at 25 C for the eggs, four instars, pupae, and adults were 1,503 (4 d), Þrst larval ecdysis 1,109 (3 d posthatch), second larval ecdysis 1,941 (5 d posthatch), third la...

region πa2 (26,50) πa1 (13,98) Figure 7 – Phase Transition curves in (L,m) and (N,L) plane with the useful area for abstraction Ideally, if a ground problem lies in the mushy region and has solution, then a useful abstraction operator shall map it into an abstract problem lying in the YES region. On the contrary, if a ground problem lies in the mushy region and has no solutions, then a useful a...

Today we continue with the topic of the previous lecture – game theory. Last time we introduced a notion of Nash equilibrium and showed that all the examples of games we considered posses them. This begs to wonder: was it a coincidence or maybe every game has a Nash equilibrium? Answering this question is the main topic of this lecture. In particular, we prove two fundamental theorems in this r...

*Correspondence: [email protected] Department of Mathematics, National Kaohsiung Normal University, Kaohsiung, 824, Taiwan Abstract In this paper, we first establish some new existence theorems of coincidence points and common fixed points forMT -functions. By applying our results, we obtain some generalizations of Mizoguchi-Takahashi’s fixed point theorem, Nadler’s fixed point theorem a...

Tripled fixed points are extensions of the idea of coupled fixed points introduced in a recent paper by Berinde and Borcut, 2011. Here using a separate methodology we extend this result to a triple coincidence point theorem in partially ordered metric spaces. We have defined several concepts pertaining to our results. The main results have several corollaries and an illustrative example. The ex...

The paper is concerned with a very general version of Caristi’s coincidence theorem, in topological spaces (X, τ) satisfying some completeness conditions with respect to a function p : X ×X → [0,∞), and having as consequence Caristi’s fixed point theorem. The general result is applied to various concrete situations quasi-metric spaces, bornological spaces to obtain versions of Ekeland’s variati...

"The purpose of this work is to establish a new generalized form the Krasnoselskii type compression-expansion fixed point theorem for sum an expansive operator and completely continuous one. Applications three non- linear boundary value problems associated second order differential equations coincidence are included illustrate main results."

It is a great pleasure for me to greet Professor Wade on the occasion of his sixtieth birthday. I am greeting him on behalf of my colleagues in Moscow University who, like myself, have vivid and happy memories of his visit to Russia. It was 26 years ago when I met Bill Wade in Moscow where he spent the academic year 1977-78 as a visiting professor at the Department of Mathematics of Moscow Stat...

The purpose of this note is to extend to an arbitrary generalized Hopf and CalabiEckmann manifold the following result of Kalyan Mukherjea: Let Vn = S 2n+1×S2n+1 denote a Calabi-Eckmann manifold. If f, g : Vn−→P are any two holomorphic maps, at least one of them being non-constant, then there exists a coincidence: f(x) = g(x) for some x ∈ Vn. Our proof involves a coincidence theorem for holomor...