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

Proceedings of the International Conference on Frontiers in Desalination, Energy, Environment and Material Sciences for Sustainable Development

This proceeding contains articles on the various ideas of the academic community presented at the International Conference on Frontiers in Desalination, Energy, Environment and Material Sciences for Sustainable Development (FEEMSSD-2023) &amp; Annual Congress of InDA (InDACON-2023) jointly organized by the Madan Mohan Malaviya University of Technology Gorakhpur, KIPM-College of Engineering and Technology Gida Gorakhpur, and Indian Desalination Association, India on 16th-17th March 2023.  FEEMSSD-2023 &amp; InDACON-2023 focuses on addressing issues and concerns related to sustainability in all domains of Energy, Environment, Desalination, and Material Science and attempts to present the research and innovative outputs in a global platform. The conference aims to bring together leading academicians, researchers, technocrats, practitioners, and students to exchange and share their experiences and research outputs in Energy, Environment, Desalination, and Material Science.  Conference Title: International Conference on Frontiers in Desalination, Energy, Environment and Material Sciences for Sustainable Development &amp; Annual Congress of InDAConference Acronyms: FEEMSSD-2023 &amp; InDACON-2023Conference Date: 16th-17th March 2023Conference Location: Madan Mohan Malaviya University of Technology, GorakhpurConference Organizers: Madan Mohan Malaviya University of Technology Gorakhpur, KIPM-College of Engineering and Technology Gida Gorakhpur, and Indian Desalination Association, Indi