Coincidence and common fixed point theorems for faintly compatible maps

The paper is aimed to generalize and improve the results of Bisht and Shahzad [Faintly compatible mappings and common fixed points, fixed point theory and applications, 2013, 2013:156]. The significance of this paper lies in the fact that coincidence and common fixed point theorems under Ciri´c type contractive condition ´ via faint compatibility and conditional reciprocal continuity is established without using continuity of even single map and containment requirement of the range space of involved maps. Illustrative examples are furnished to highlight the realized improvement of our results.Publisher's Versio

COINCIDENCE AND COMMON FIXED POINT THEOREMS FOR FAINTLY COMPATIBLE MAPS

The paper is aimed to generalize and improve the results of Bisht and Shahzad [Faintly compatible mappings and common fixed points, fixed point theory and applications, 2013, 2013:156]. The signicance of this paper lies in the fact that coincidence and common fixed point theorems under Ciric type contractive condition via faint compatibility and conditional reciprocal continuity is established without using continuity of even single map and containment requirement of the range space of involved maps. Illustrative examples are furnished to highlight the realized improvement of our results

Common fixed point theorems via generalized condition (B) in quasi-partial metric space and applications

The aim of this paper is to introduce generalized condition (B) in a quasi-partial metric space acknowledging the notion of Künzi et al. [Künzi H.-P. A., Pajoohesh H., Schellekens M. P., Partial quasi-metrics, Theoret. Comput. Sci., 2006, 365, 237-246] and Karapinar et al. [Karapinar E., Erhan M.,Öztürk A., Fixed point theorems on quasi-partial metric spaces, Math. Comput.Modelling, 2013, 57, 2442-2448] and to establish coincidence and common fixed point theorems for twoweakly compatible pairs of self mappings. In the sequelwe also answer affirmatively two open problems posed by Abbas, Babu and Alemayehu [Abbas M., Babu G. V. R., Alemayehu G. N., On common fixed points of weakly compatible mappings satisfying generalized condition (B), Filomat, 2011, 25(2), 9-19]. Further in the setting of a quasi-partial metric space, the results obtained are utilized to establish the existence and uniqueness of a solution of the integral equation and the functional equation arising in dynamic programming. Our results are also justified by explanatory examples supported with pictographic validations to demonstrate the authenticity of the postulates

Production of solar hydrogen energy by nanostructured semiconductor photoelectrode

75-78The present paper describes the modification and solar hydrogen production studies employing a new semiconductor-septum (SC-SEP) photoelectrode ns-TiO2-In2O3 admixed/Ti based photoelectrochemical solar cell. The current-voltage characteristics of the above SC-SEP cell revealed that an enhancement in short-circuit current (ISC) up to three times (5~14.6 mAcm-2). The optimum hydrogen production rate was found to be 11.8 lh-1m-2 for 5 M H2SO4 and with a further increase in H2SO4 concentration, the hydrogen production rate was found to be invariant. In yet another part of our study instead of using new SC-SEP solar cell design, we used a new material form such as ns-TiO2-WO3. The WO3 admixed ns-TiO2 exhibited a high photo-current and photo-voltage of 15.6 mAcm-2, 960 mV, respectively. The ns-TiO2-WO3 electrode exhibited a higher hydrogen gas evolution rate of 13.8 lh-1m-2

Structural and dielectric studies of [PVA –LiAc] : TiO₂ polymer nano-composite system

70-74An attempt has been made in the present work to prepare Poly Vinyl Alcohol (PVA) based proton conducting gel electrolyte that characterizes them. Nano composite polymer electrolyte consisting of Poly Vinyl Alcohol (PVA), Lithium acetate with TiO2 filler, is synthesized by the combination of solution cast technique and sol-gel process. Electrically conducting polymer have been most widely accomplished using chemical and electrochemical processing techniques. The composite electrolyte films were characterized by different experimental techniques. The average particle sizes of composite electrolytes were in between 20-30 nm and this system is essentially ionic with maximum conductivity of polymer electrolyte 90[80PVA-20LiAc]:10TiO2 is [~4.5x10-6 S/cm] at room temperature. </sub

Integrative Weed Management Tactics for Rice (Oryza sativa L.) under Direct-Seeding in Kymore Plateau and Satpura Hills

Aims: Weed infestation is the major problem in wide adoption of direct-seeding technology by rice farmers. Integration of herbicides with different manual and mechanical methods only can be a permanent solution of weed problem in direct-seeded rice. Study Design: Randomized block design was taken with three replications for this field experiment. Place and Duration of Study: The experiment was carried out during kharif, 2019 at the Experimental Farm of Jawaharlal Nehru Krishi Vishwa Vidyalaya, Jabalpur, Madhya Pradesh. Methodology: The treatments were comprised of eight post-emergence weed management treatments including hand weeding twice at 20 days after sowing (DAS) and 40 DAS, respectively and weedy check treatment. All the treatments were allocated randomly in each replication. Results: Spraying of bispyribac sodium 10% SC at 25 g a.i. ha-1 at 20 DAS + conoweeder at 40 DAS was best in decreasing the infestation of grassy weeds such as Eleusine indica and Echinochloa colona and a sedge weed, Cyperus rotundus during the crop growing period except hand weeding. But broadleaved weeds such as Alternanthera sessilis and Ludwigia parviflora were controlled more effectively with metsulfuron methyl 10% WP + chlorimuron ethyl 10% WP at 4 g a.i. ha-1 at 20 DAS + conoweeder at 40 DAS than the earlier treatment. Highest grain yield (3155.67 kg ha-1), gross monetary return (Rs 57736 ha-1), net monetary return (Rs 1140 ha-1) and benefit-cost ratio (1.91) were registered under the spraying of bispyribac sodium 10% SC at 25 g a.i. ha-1 at 20 DAS + use of conoweeder at 40 DAS among the chemical and integrative weed control options. Conclusion: The spraying of bispyribac sodium 10% SC at 25 g a.i. ha-1 at 20 DAS followed by use of conoweeder at 40 DAS could be the best sustainable option to control the weed infestation in direct-seeded rice