Pure Mathematics
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Fixed point approach for solving optimization problems in Hilbert, Banach and convex metric spaces.
(2023)In this thesis, we study the fixed point approach for solving optimization problems in real Hilbert, Banach and Hadamard spaces. These optimization problems include the variational inequality problem, split variational ... -
Iterative approximations of certain nonlinear optimization, generalized eqilibrium and fixed point problems in Hilbert and Banach spaces.
(2023)In this thesis, in the framework of Banach spaces, we study several iterative methods for finding the solutions of many important problems in fixed point theory and optimization. Some of these include the equilibrium ... -
Axial algebras for sporadic simple groups HS and Suz.
(2018)Motivated by the construction of the Monster sporadic simple group as a group of automorphisms of an algebra and the recent development of ax- ial algebras as a generalization of Majorana representations, we construct ... -
A study of optimization problems and fixed point iterations in Banach spaces.
(2019)Abstract available in PDF. -
Iterative algorithms for approximating solutions of some optimization problems in Hadamard spaces.
(2019)Abstract available in PDF. -
A study of optimization and fixed point problems in certain geodesic metric spaces.
(2019)Abstract available in PDF. -
Iterative schemes for approximating common solutions of certain optimization and fixed point problems in Hilbert spaces.
(2021)In this dissertation, we introduce a shrinking projection method of an inertial type with self-adaptive step size for finding a common element of the set of solutions of Split Gen- eralized Equilibrium Problem (SGEP) and ... -
Filter characterisations of the extendibility of continuous functions.
(1991)Abstract available in PDF. -
Self-adaptive inertial algorithms for approximating solutions of split feasilbility, monotone inclusion, variational inequality and fixed point problems.
(2020)In this dissertation, we introduce a self-adaptive hybrid inertial algorithm for approximating a solution of split feasibility problem which also solves a monotone inclusion problem and a fixed point problem in p-uniformly ... -
A numerical study of entropy generation, heat and mass transfer in boundary layer flows.
(2018)This study lies at the interface between mathematical modelling of fluid flows and numerical methods for differential equations. It is an investigation, through modelling techniques, of entropy generation in Newtonian ... -
On the geometry of CR-manifolds.
(2015)We study two classes of CR-submanifolds in Kählerian and cosymplectic manifolds. More precisely, we compare the geometry of CR-submanifolds of the above two underlying smooth manifolds. We derive expressions relat- ing ... -
Iterative algorithms for approximating solutions of variational inequality problems and monotone inclusion problems.
(2017)In this work, we introduce and study an iterative algorithm independent of the operator norm for approximating a common solution of split equality variational inequality prob- lem and split equality xed point problem. ... -
Combined impulse control and optimal stopping in insurance and interest rate theory.
(2015)In this thesis, we consider the problem of portfolio optimization for an insurance company with transactional costs. Our aim is to examine the interplay between insurance and interest rate. We consider a corporation, such ... -
Some amenability properties on segal algebras.
(2017)It has been realized that the definition of amenability given by B. E. Johnson in his Classical Memoir of American Mathematical Society in 1972 is too restrictive and does not allow for the development of a rich general ... -
On pseudo-amenability of C(X;A) for norm irregular Banach algebra A.
(2017)Abstract available in PDF file. -
On the null geometry of quasi generalized CR-submanifolds of indefinite nearly α-Sasakian manifolds.
(2017)Generalized CR (GCR)-lightlike submanifolds of indefinite almost contact manifolds were introduced by K. L. Duggal and B. Sahin, with the assumption that they are tangent to the structure vector field ξ of the almost ...
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