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2022-05-02
AN EXTENSIVE STUDY ON VARIOUS MULTIVALENTLY ANALYTIC FUNCTIONS WITH COMPLEX COEFFICIENTS AND SOME OF THEIR ARGUMENT PROPERTIES
HUSEYIN IRMAK1 AND OMER FARUK KULAL
In the present investigation based on the known assertion proved by Nunokawa [23], various comprehensive results in connection with certain multi-valued analytic functions with complex coecients are introduced. Further, a number of ap- plications of the main results are obtained.
2022-05-02
EQUILIBRIUM PROBLEMS AND VARIATIONAL INEQUALITIES: A SURVEY OF EXISTENCE RESULTS
O. CHADLI, R. N. MOHAPATRA AND B. K. SAHU
Equilibrium problem takes a leading role over a variety of mathematical problems including but not limited to variational inequalities, optimizations, complementarity problems, fixed point theory in last the four decades. It provides an unified framework for the solution of many problems with numerous applications. This paper presents a state-of-the-art survey of equilibrium problems, variational inequalities and hemivariational inequalities.
2022-05-02
GENERAL PARAMETRIC DUALITY MODELS FOR DISCRETE MINMAX FRACTIONAL PROGRAMMING BASED ON HIGHER ORDER INVEXITY
RAM U. VERMA
In this paper we investigate the significant role of higher-order parametric duality models for a discrete minmax fractional programming problem regarding higher-order necessary and sufficient optimality conditions. Several higher-order duality models are formulated and investigated along with weak, strong, and strict converse duality theorems by applying some new classes of higher-order invex functions. To the best of our knowledge, the obtained results are new and have a wide range of applications to other parametric duality models, including interdisciplinary research in nature.
2022-05-02
MULTIOBJECTIVE MATHEMATICAL PROGRAMS WITH EQUILIBRIUM CONSTRAINTS: PSEUDOLINEAR CASE
J. K. MAURYA1 AND S. K. MISHRA
In this paper, we consider pseudolinear multiobjective mathematical programs with equilibrium constraints. We establish necessary and sufficient strong efficient S-stationary conditions for a feasible point without using any constraint qualification. Although, necessary optimality conditions required constraint qualification, but in pseudolinear case there is no requiement of constraint qualification due to its own characterization. Since duality provide lower bound to the objective function therefore it have good advantage, so we propose Mond-Weir type dual models for a pseudolinear multiobjective mathematical program with equilibrium constraints and deduce usual duality results. Furthermore, some examples are presented to illustrate our results.
2022-05-02
ON ITERATES OF q-ANALOUGE BERNSTEIN OPERATOR VIA FIXED POINTS
PALLAB MAITI AND ASRIFA SULTANA
In this article, we derive the convergence of successive iterations for certain nonlinear operators on complete normed linear space. As a consequence of our result we investigate the convergence of iterates for the Lupas¸ q-analouge Bernstein operators on C[0;1]. Our theorem indeed generalize the Kelisky-Rivlin result about the convergence of iterates for the Bernstein operator. The convergence of successive iterations for certain uniformly local nonlinear operator is also derived.
2022-05-02
APPROXIMATION AND OPTIMIZATION
C NAHAK
This paper deals with the concept and relation between the theory of ap- proximation and optimization problems.
2022-05-02
DEGREE OF APPROXIMATION OF FOURIER SERIES BY A NEW TRIGONOMETRIC MEAN R1(b), FOR b = 2
ANASUYA NATH AND SUDHANSU SEKHAR RAY
In this paper we have estimated the rate of convergence of Fourier series of functions belonging to the generalized H¨older metric space Hw p with the norm jj f jj(w) p := k f kp+A( f ;w), by using a new trigonometric mean R1(b), for b = 2.
2022-05-02
BIBLIOGRAPHY ON SEQUENCE SPACES,BANACH LIMITS,SUMMABILITY,MATRIX TRANSFORMATION,FOURIER SERIES, APPROXIMATION AND FIXED POINT THEORY
SUDARSAN NANDA
KIIT Deemed to be University, Bhubaneswar 751024, India