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Method of Quasi-Upper and Lower Solutions in Abstract Cones
(University of Texas at Arlington, 1981-05)
**Please note that the full text is embargoed** ABSTRACT: Let E be a real Banach space with ||•|| and let E* denote the dual of E. Let K C E be a cone, that is, a closed convex subset such
that ^K C K for every ^ ≥ 0 and ...
Monotone Iterative Technique for Differential Equations in a Banach Space
(University of Texas at Arlington, 1981-02)
**Please note that the full text is embargoed** ABSTRACT: Let E be a real Banach space with norm [see pdf for notation].
Consider the initial value problem (1.1) [see pdf for notation],
where [see pdf for notation]. ...
Fixed Point Theorems for Expanding Maps
(University of Texas at Arlington, 1981-03)
**Please note that the full text is embargoed** ABSTRACT: Suppose (X,d) is a metric space, h > 0 and T: X -> X. We shall use the notation T E E(h) to mean [see pdf for notation] for each x,y E X. If h > 1, then T will be ...
On the Method of Upper and Lower Solutions in Abstract Cones
(University of Texas at Arlington, 1981-02)
**Please note that the full text is embargoed**
Some Theorems on Fixed Points in Lipschitz and Kannan Type Mappings
(University of Texas at Arlington, 1980-01)
**Please note that the full text is embargoed**
Fixed Point Theorems for PPF Mappings Satisfying Inwardness Conditions
(University of Texas at Arlington, 1980-07)
**Please note that the full text is embargoed** ABSTRACT: In this paper we continue our recent development [1] of the theory of fixed point theorems of nonlinear operators whose domain and range are different Banach spaces. ...
Monotone Iterative Technique for Delay Differantial Equations in Abstract Cones
(University of Texas at Arlington, 1982-04)
**Please note that the full text is embargoed** ABSTRACT: Monotone iterative technique is developed for delay differential equations
in a Banach space by utilizing the method of upper and lower solutions.
Volterra Integral Equations in Abstract Cones and Monotone Iterative Technique
(University of Texas at Arlington, 1983-08)
**Please note that the full text is embargoed** ABSTRACT: The objective of this paper is to develop monotone technique for obtaining extremal solutions of Volterra integral equations in abstract Banach spaces via coupled ...
Zeros of Bouligand-Nagumo Fields, Flow-Invariance and the Bouwer Fixed Point Theorem
(University of Texas at Arlington, 1987)
**Please note that the full text is embargoed** ABSTRACT: Mainly, in this paper we prove that if D is a convex compact of Rn, then the Brouwer fixed point property of D is equivalent to the fact that every Bouligand-Nagums ...
Existence and Regularity Theory for Isoperimetric Variational Problems on Orlicz-Sobolev Spaces: A Review
(University of Texas at Arlington, 1984-10)
**Please note that the full text is embargoed** ABSTRACT: In this review article, we outline and discuss our most recent results regarding the existence and the regularity theory for a class of strongly nonlinear eigenvalue ...