• Title/Summary/Keyword: contraction of points

Search Result 97, Processing Time 0.022 seconds

Effects of PNF Technique on Delayed Onset Muscle Soreness After Eccentric Exercise

  • Lee, Su-Young;Yi, Chung-Hwi;Choi, Mun-Suk
    • Physical Therapy Korea
    • /
    • v.14 no.4
    • /
    • pp.1-6
    • /
    • 2007
  • This study examined the effects of hold-relax with agonist contraction (HR-AC) on the symptoms of delayed onset muscle soreness (DOMS) induced by intensive eccentric exercise of the non-dominant biceps brachii. Ten men (mean age=26.7 yrs, mean height=172.1 cm, mean weight=66.2 kg) and ten women (mean age=27.4 yrs, mean height=165.9 cm, mean weight=60.7 kg) who had not participated in a regular exercise program for the upper extremities in the previous six months were randomly assigned to one of two experimental groups: the HR-AC group, or the control group. We measured joint range of motion (ROM), maximal voluntary isometric contraction (MVIC), and muscle soreness before eccentric exercise, and 24, 48, and 72 hours after eccentric exercise. The subjects in the HR-AC group received the HR-AC technique in the non-dominant biceps brachii. The HR-AC technique was applied 24 and 48 hours after eccentric exercise. There was no significant difference between the HR-AC and the control group. However, the HR-AC group, compared to the control group, had a significant difference between the time points of the various parameters. Increased ROM (p<.05), decreased muscle soreness (p<.05), and reduced MVIC (p<.05) were found in the HR-AC group after 72 hours. Decreased ROM (p<.05) and MVIC (p<.05), and increased muscle soreness (p<.05) were observed in the control group. These findings suggest that the HR-AC technique effectively reduces muscle soreness and increases ROM 72 hours after eccentric exercise.

  • PDF

ON COUPLED COINCIDENCE POINTS IN MULTIPLICATIVE METRIC SPACES WITH AN APPLICATION

  • Ibtisam Mutlaq Alanazi;Qamrul Haque Khan;Shahbaz Ali;Tawseef Rashid;Faizan Ahmad Khan
    • Nonlinear Functional Analysis and Applications
    • /
    • v.28 no.3
    • /
    • pp.775-791
    • /
    • 2023
  • In this manuscript, we prove the existence of the coupled coincidence point by using g-couplings in multiplicative metric spaces (MMS). Further we show that existence of a fixed point in ordered MMS having t-property. Finally, some examples and application are presented for attesting to the credibility of our results.

A HYBRID PROJECTION METHOD FOR RELAXED COCOERCIVE MAPPINGS AND STRICTLY PSEUDO-CONTRACTIVE MAPPINGS

  • Liu, Ying
    • East Asian mathematical journal
    • /
    • v.28 no.3
    • /
    • pp.305-320
    • /
    • 2012
  • The purpose of this paper is to introduce a hybrid projection method for finding a common element of the set of solutions of a generalized equilibrium problem, the set of solutions of a variational inclusion problem and the set of common fixed points of a finite family of strict pseudo-contractions in Hilbert spaces.

RESULTS IN b-METRIC SPACES ENDOWED WITH THE GRAPH AND APPLICATION TO DIFFERENTIAL EQUATIONS

  • SATYENDRA KUMAR JAIN;GOPAL MEENA;LAXMI RATHOUR;LAKSHMI NARAYAN MISHRA
    • Journal of applied mathematics & informatics
    • /
    • v.41 no.4
    • /
    • pp.883-892
    • /
    • 2023
  • In this research, under some specific situations, we precisely derive new coupled fixed point theorems in a complete b-metric space endowed with the graph. We also use the concept of coupled fixed points to ensure the solution of differential equations for the system of impulse effects.

SOME RESULTS ON FIXED POINTS IN THE FUZZY METRIC SPACE

  • RAZANI ABDOLRAHMAN;SHIRDARYAZDI MARYAM
    • Journal of applied mathematics & informatics
    • /
    • v.20 no.1_2
    • /
    • pp.401-408
    • /
    • 2006
  • Fixed point theory is one of famous theories from theoretical and numerical point of views. Banach fixed point theorem plays a main role in this theory. In this article, Grabiec's fuzzy Banach contraction theorem [3] and Vasuki's theorem [12] for a complete fuzzy metric space, in the sense of Song [11] (or George and Veeramani), is proved by an extra condition.

CONVERGENCE THEOREMS FOR GENERALIZED EQUILIBRIUM PROBLEMS AND ASYMPTOTICALLY κ-STRICT PSEUDO-CONTRACTIONS IN HILBERT SPACES

  • Liu, Ying
    • East Asian mathematical journal
    • /
    • v.29 no.3
    • /
    • pp.303-314
    • /
    • 2013
  • In this paper, we introduce an iterative scheme for finding a common element of the set of solutions of a generalized equilibrium problem and the set of common fixed points of a finite family of asymptotically ${\kappa}$-strict pseudo-contractions in Hilbert spaces. Weak and strong convergence theorems are established for the iterative scheme.

FIXED POINTS AND HOMOTOPY RESULTS FOR ĆIRIĆ-TYPE MULTIVALUED OPERATORS ON A SET WITH TWO METRICS

  • Lazar, Tania;O'Regan, Donal;Petrusel, Adrian
    • Bulletin of the Korean Mathematical Society
    • /
    • v.45 no.1
    • /
    • pp.67-73
    • /
    • 2008
  • The purpose of this paper is to present some fixed point results for nonself multivalued operators on a set with two metrics. In addition, a homotopy result for multivalued operators on a set with two metrics is given. The data dependence and the well-posedness of the fixed point problem are also discussed.

SEMI-COMPATIBILITY AND FIXED POINT THEOREM IN MENGER SPACE USING IMPLICIT RELATION

  • Singh, Bijendra;Jain, Shishir
    • East Asian mathematical journal
    • /
    • v.21 no.1
    • /
    • pp.65-76
    • /
    • 2005
  • In this paper the concept of semi-compatibility has been introduced in Menger space and it has been applied to prove results on existence of unique common fixed point of four self maps satisfying an implicit relation. It results in a generalization of Banach contraction principle established by Sehgal and Bharucha-Reid in [8] All the result presented in this paper are new.

  • PDF

CONVERGENCE THEOREMS ON VISCOSITY APPROXIMATION METHODS FOR FINITE NONEXPANSIVE MAPPINGS IN BANACH SPACES

  • Jung, Jong-Soo
    • The Pure and Applied Mathematics
    • /
    • v.16 no.1
    • /
    • pp.85-98
    • /
    • 2009
  • Strong convergence theorems on viscosity approximation methods for finite nonexpansive mappings are established in Banach spaces. The main theorem generalize the corresponding result of Kim and Xu [10] to the viscosity approximation method for finite nonexpansive mappings in a reflexive Banach space having a uniformly Gateaux differentiable norm. Our results also improve the corresponding results of [7, 8, 19, 20].

  • PDF

FIXED POINTS FOR SOME CONTRACTIVE MAPPING IN PARTIAL METRIC SPACES

  • Kim, Chang Il;Han, Giljun
    • Journal of the Chungcheong Mathematical Society
    • /
    • v.33 no.4
    • /
    • pp.387-394
    • /
    • 2020
  • Matthews introduced the concepts of partial metric spaces and proved the Banach fixed point theorem in complete partial metric spaces. Dukic, Kadelburg, and Radenovic proved fixed point theorems for Geraghty-type mappings in complete partial metric spaces. In this paper, we prove the fixed point theorem for some contractive mapping in a complete partial metric space.