In this article, we introduce the idea of nonlinear Suzuki (F,R≠)-contractions, which is patterned after the contractive conditions due to Suzuki [Nonlinear Anal. 71 (2009) 5313-5317] and Wardowski [Fixed Point Theory Appl. (2012) 94:6]. Utilizing our newly introduced contraction, we establish some relation theoretic fixed point theorems. Furthermore, we adopt an example to highlight the genuineness of our newly proved results. Finally, we use our main results to establish the existence and uniqueness of solution for a nonlinear matrix equation.

In this article, we introduce the idea of relation-theoretic Suzuki-generalized nonlinear contractions and utilized the same to prove some fixed point results in an ℜ-complete partial metric space. Our newly established results are sharpened versions of earlier existing results in the literature. Indeed, we give an application to construct multivalued fractals using a newly introduced contraction in the iterated function space.

In this paper, we prove coincidence and common fixed points results under nonlinear contractions on a metric space equipped with an arbitrary binary relation. Our results extend, generalize, modify and unify several known results especially those are contained in Berzig [J. Fixed Point Theory Appl. 12, 221-238 (2012))] and Alam and Imdad [To appear in Filomat (arXiv:1603.09159 (2016))]. Interestingly, a corollary to one of our main results under symmetric closure of a binary relation remains a sharpened version of a theorem due to Berzig. Finally, we use examples to highlight the accomplished improvements in the results of this paper.

In this article, we prove some relation-theoretic results on coincidence and common fixed point for a nonlinear contraction employing a locally finitely T-transitive binary relation, where T stands for a self-mapping on the underlying metric space. Our newly proved results deduce sharpened versions of certain relevant results of the existing literature. Finally, we adopt some examples to substantiate the genuineness of our proved results herein.

In this paper, we introduce the notion of generalizedL-contractions which enlarge the class of ℒ-contractions initiated by Cho in 2018. Thereafter, we also, define the notion ofL∗-contractions. Utilizing our newly introduced notions, we establish some new fixed-point theorems in the setting of complete Branciari’s metric spaces, without using the Hausdorff assumption. Moreover, some examples and applications to boundary value problems of the fourth-order differential equations are given to exhibit the utility of the obtained results.

This study was structured to observe whether any relationship exist between anthropometrical and kinematical variables of spike jump of intercollegiate level male volleyball players. For the purpose of the study eight intercollegiate level male volleyball players were selected. The age of the subjects were ranged from 17 to 20 years. Age, height, body weight, arm length and leg length were taken as anthropometric variables. The kinematical variables selected were jump height, range of motion, angular velocity, shoulder joint hyperextension angle and arm swing duration. To obtain data of kinematical variables the selected subject’s performances were video recorded. For recording a camcorder operating at a nominal frame of 60Hz and with a shutter speed of 1/2000 second was used. The camcorder was placed on a rigid tripod at the height of 1.5 meters on the right angle i.e. perpendicular to the side-line. It was placed at a distance of 13 meters away from side-line. A setter was used to set the ball for the subjects to spike. Only 3 successful spike jump performance were recorded. The digitization of the obtained data was done with the help of Silicon Coach Pro-7 motion analysis software. The correlation-coefficient was used as tool to establish a relationship between anthropometrical and kinematical variables of spike jump performance. The statistical analysis revealed no significant relationship between variables of spike jump performance of intercollegiate level male volleyball players.