INDIAN JOURNAL OF PURE AND APPLIED MATHEMATICS

Volume. 30, NO. 1, January 1999

CONTENTS

Penalty method for an optimal control problem with equality and inequality 1
constraints by RADHI A. ZBOON, SHIV PRASAD YADAV AND C. MOHAN


On para-Sasakian manifold by S. N. PANDEY AND Krn. SAVITA VERMA 15


Topology of interval-valued fuzzy sets by TAPAS KUMAR MONDAL AND 23
S. K. SAMANTA


Nonlinear integer goal programming by NEELAM MALHOTRA AND 30
S. R. ARORA

Efficiency and duality of multiobjective fractional control problems under 51
(f, p)-convexity by L. VENKATESWARA REDDY AND R. N. MUKHERJEE


Transfinite dimension and compactifications by EDUARDO CUCHILLO-lBANEZ 71
AND JUAN TARRES


Weighted approximation by Bernstein-Chlodowsky polynomials by 83
E. A. GADJIEVA AND ERTAN IBIKLI


A new series of u-resolvable (d + 1) associate class GD PBIB designs by 89
R. N. MOHAN


On some multi-valued mappings without contractivity conditions and common 99
fixed points by LJLJBOMIR CIRI^


Density results for Hilbert subsets by PIERRE DEBES 109

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INDIAN JOURNAL OF PURE AND APPLIED MATHEMATICS
Volume 30 , No. 2 , February 1999

CONTENTS


On measures of M-entropy by J. N. KAPÜR AND SANDEEP SHARMA 129

A common fixed point theorem under a new condition by R. P. PANT 147

On polynomials having zeros in closed exterior or closed interior of a circle 153
by V. K. JAIN

Variational-like inequalities for multivalued maps by A. H. SIDDIQI, 161
Q. H. ANSARI AND M. F. KHAN

Evaluation of mean scalars in non-premixed turbulent flame using beta 167
probability density function by S. GANESHAN, S. BALAKRISHNA AND
V. RAMANÜJACHARI

The non-commutative neutrix product of the distributions F(x+-r) ln x+ and 175
(delta)(s)(x) by EMIN ÖZCAG

On the equation (phi)(l x(m)+ y(m)l) = 1x(n) l y(n)l by FLORIAN LUCA 183

A note on a fixed point theorem and Newton method by NELSON CASTANEDA 199

The union of proper non-equivalent fuzzy subgroups by WANG XUE-PING 203

Bicompletion of quasi-bitopological near-rings and quasi-bitopological 211
N-groups by C. KARTHIKEYAN

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INDIAN JOURNAL OF PURE AND APPLIED MATHEMATICS

Volume 30, Noumber 3, MARCH 1999


CONTENTS

On uniqueness for the backward parabolic equation by Au SEVER AND 221
BONYAMIN YILDIZ


The Diophantine Equation X2 + 5(2K+1) =yn by FADWA S. ABU MURIEFAH AND 229
S. AKHTAR ARIF


Global attractivity of delay difference equations by QIONG MENG AND 233
JURANG YAN


Optimality and duality theorems for non smooth multiobjective fractional 243
programs by S. K. SUNEJA, C. S. LALITHA AND SEEMA KHURANA


On a differential geometric formulation of an optimal tracking problem by 259
G. LOHAR AND D. DUTTA MAJUMDER


Axially invariant laminar flow in a helical duct of square cross-section by 271
KYOJI YAMAMOTO, SHINICHIRO YANASE AND MD. MAHMUD ALAM


Normality criteria concerning sharing values by YAN XU 287


Best approximation in Orlicz type spaces with peak norm structure by 295
R. N. MUKHARJEE AND VINAI KUMAR SINGH


Normalized semi parallel ch-vector field in special Finsler spaces by 307
T. N. PANDEY AND D. K. DIWEDI


Steady-state response to moving loads in an elastic solid media by SISIR NATH 317
AND P. R. SENGUPTA

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INDIAN JOURNAL OF PURE AND APPLIED MATHEMATICS

Volume 30, NO. 4, APRIL 1999

CONTENTS

Kaluza-klein cosmology by R. BHATTACHARJEE AND K. K. BARUAH 329

Proper efficiency and vector optimization on a banach space by 345
D. K. BHATTACHARYA


Common solutions of vector variational inequalities in ordered banach spaces 355
by JUNYI Fu


Boundedness and periodicity results for a certain system of third order 361
nonlinear differential equations by AYDIN TiRYAKi


Optimality conditions for linear fractional bilevel programs by NEELAM 373
MALHOTRA AND S. R. ARORA


Best error bounds for deficient quartic spline interpolation by S. S. RANA 385
AND Y. P. DUBEY


On common fixed points of pairs of coincidentally commuting mappings in 395
JD-metric spaces by B. C. DHAGE


On subharmonic behaviour of functions and their tangential derivatives on the 407
unit ball in C(n) by MIROLJUB JEVTIC AND MIROSLAV PAVLOVIC


Common fixed points for r-weakly commuting maps in fuzzy metric spaces 419
by R. VASUKI


Convergence theorems for a sequence of Ishikawa iterations for nonlinear 425
quasi-contractive mappins by LJUBOMIR QRIC


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INDIAN JOURNAL OF PURE AND APPLIED MATHEMATICS

Volume. 30, No. 5, May 1999

CONTENTS

Deficiencies of differential polynomials by iNDRAJIT LAHIRI 435

The maximal congruences on C+ (X) and C+ (X) by S. K. ACHARYYA, 449
K. C. CHATTOPADHYAY AND G. G. RAY

On some generalized sequence spaces defined by a modulus by EKREM SAVAS 459


Reflection and refraction at an interface between cracked elastic solid and 465
ordinary elastic solid by M. D. SHARMA


Effect of suspended particles on .thermal instability in RivIin-Ericksen 477
elastico-viscous fluid by R. C. SHARMA AND PARDEEP KUMAR


On the structure of shock waves in dusty gases by HANAA HAMAD 485


Results on fixed points ofasymptotically regular mappings by SLOBODAN 491
C. NESIC

Nonlinear perturbation of the Mathieu equation by ZAHRA AFSHARNEJAD 495
Interpolatory quadrature rule for evaluation of certain hyper singular integrals 509
by SAMIR A. ASHOUR


Difference method for the differential equation with fractional derivative by 517
I. OZTORK AND M. H. SHKHANEKOV

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INDIAN JOURNAL OF PURE AND APPLIED MATHEMATICS
Volume 30 , No. 6 , June 1999

CONTENTS


Pseudo-differential operators associated with a singular differential operator in 525
]theta , + (benahayat) [ by A. DACHRAOUI AND K. TRIMECHE

On combination of Riesz potentials with non-isotropic Kernels by 545
A. D. GADJIEV AND O. DOGRU

Oscillation for certain nonlinear delay hyperbolic equations by 557
WANG PEIGUANG

An existence theorem for nonlinear elliptic equations with multivalued terms 567
by NIKOLAUS HALIDIAS AND NIKOLAUS S. PAPAGEORGIOU

On s-normal spaces and some functions by JIN HAN PARK 575

On GPR-continuous functions in topological spaces by Y. GNANAMBAL AND 581
K. BALACHANDRAN

On the problems of body forces and heat sources in thermoelasticity without 595
energy dissipation by J. N. SHARMA AND RANBIR SINGH CHAUHAN

Multiparametric analysis of the maximum tolerance in linear fractional 611
programming problem by PANKAJ GÜPTA AND D. BHATIA

Minimization theorem with fuzzy version under quasi-compatible condition by 629
B. K. SHARMA, V.B. DHAGAT AND G. GUPTA

Some fixed point theorems by altering distances between the points by 641
K. P. R. SASTRY AND G. V. R. BABU

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INDIAN JOURNAL OF PURE AND APPLIED MATHEMATICS

Volume 30, No. 7 , July 1999

CONTENTS

Identities involving series of the Riemann zeta function by JUNESANG CHOI 649
AND TAB YOUNG SEO


On certain subclasses of meromorphic functions in the unit disk by 653
K. S. PADMANABHAN


Meromorphic functions sharing three values by QING CAI ZHANG 667


Invariant means on the isometry semigroups of C*-algebras and von Neumann 683
algebras by A. GHAZANFARI AND A. NIKNAM


Nonoscillation theorems for Ernden-Fowler system of differential equations by 687
JELENA MANOJLOVIC


Development of two-dimensional boundary layer with an applied magnetic 695
field due to an impulsive motion by M. KUMARI AND G. NATH


Line-set domination number of a graph by 1. H. NAGARAJA RAO AND 709
B. VIJAYA LAXMI


A semi-dynamical system induced by composition operators by S. D. SHARMA . 715
AND BHOPINDER SINGH


Existence and stability of libration points in the restricted three body problem 721
when the smaller primary is a triaxial rigid body and the bigger one an
oblate spheroid by MONA KHANNA AND K. B. BHATNAGAR


Global existence of solutions of nonlinear functional integral equations 735
by M. B. DHAKNE

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INDIAN JOURNAL OF PURE AND APPLIED MATHEMATICS
Volume 30 , No. 8 , August 1999

CONTENTS


Some remarks on best approximation and fixed points by DOMENICO 745
DELBOSCO

On a Kampe de Feriet function associated with the confluent Heun equation 749
by H. EXTON

On the commutative neutrix product of distributions by ADEM KILICMAN 753

Another approach to quadrature methods by I. FEDOTOV AND S. S. DRAGOMIR 763

Lower analogues of Gelfand and Kolmogorov numbers by VLADIMIR 777
RAKOCEVIC AND SNEZANA ZIVKOVIC

On discontinuous second order boundary value problems with deviating 787
arguments in ordered Banach spaces by B. C. DHAGEAND S. HEIKKILÄ

On graceful graphs : union of n-copies of edge deleted subgraphs of K(4) 801
by G. SETHURAMAN AND S. PITCHAI MuTHU KISHORE

On some sequence spaces defined by a modulus by VINOD K. BHARDWAJ 809
AND NIRANJAN SINGH

On some vector valued sequence spaces defined using a modulus function 819
by D. GHOSH AND P. D. SRIVASTAVA

Some results on common fixed points —I by B.C. DHAGE 827

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INDIAN JOURNAL OF PURE AND APPLIED MATHEMATICS
Volume 30 , No. 11 , November 1999


CONTENTS

Evaluation of integral forming diagonal element of matrices appearing in 1073
problems on electromagnetics by B. N. DAS


On results of Gopalakrishna-Bhoosnurmath and Singh-Dhar by HONG-XUN Yl 1081


On a class of quasilinear hyperbolic equations and Yosida approximations by 1091
JONG YEOUL PARK AND lL HYO JUNG


Two results on three-variable hypergeometric function by 1107
P. A. PADMANABHAM

On topology induced by Bohr compactification by RAFAIL AL12ADE AND ALI 1111
PANCAR

Thermal convection in Walters B' viscoelastic fluid permeated with suspended 1117
particles in porous medium by PARDEEP KUMAR


Variational data fitting by JOSE L, MARTiNEZ-MORALES 1125

Effects of suspended particles, rotation and variable gravity field on the 1157
thermal instability of RivIin-Ericksen visco-elastic fluid in porous
medium by KIRTI PRAKASH AND NARESH KUMAR


Generalized recurrent and concircular recurrent manifolds by 1167
Y. B. MARALABHAVI AND M. RATHNAMMA


Oscillation of solutions of nonlinear parabolic differential-difference equations 1173
in noncylindrical domains by DRUMI BAINOV, QINGKAI KONG AND EMIL
MINCHEV


Extremal solutions of nonlinear first order impulsive integro-differential 1181
equations in banach spaces by LU HUIQIN