Fixed point results for materials research

被引:0
|
作者
Wadkar, Balaji Raghunath [1 ]
Gupta, Sonendra Kumar [2 ]
Chouhan, Sarla [3 ]
Bhardwaj, Ramakant [4 ]
Rao, G. V. V. Jagannadha [5 ]
机构
[1] GH Raisoni Insttitute Engn & Technol, Dept First Year Engn, Pune, Maharashtra, India
[2] Oriental Coll Technol, Dept Math, Bhopal, MP, India
[3] SGSITS, Dept Math & Computat Sci, Indore, Madhya Pradesh, India
[4] AMITY Univ, Dept Math, Kolkata, WB, India
[5] Kalinga Univ, Dept Math, Naya Raipur, India
关键词
Non-expansive mapping; Contractive condition (CC); Fixed point theorem; Metric space; compact metric space; NONEXPANSIVE-MAPPINGS; CONTRACTIVE TYPE; THEOREMS; SPACES;
D O I
10.1016/j.matpr.2021.01.324
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
In this paper, we establish a new Class category of non expansive mappings in metric space which is wider than the class category of mappings satisfying contractive condition (CC). Special properties and various fixed point results for these mappings in metric space are obtained here. Also we discussed the results and examples of the convergence of some iteration schemes to the fixed point in metric space. Obtained results are useful in material research as well as in image processing. (C) 2020 Elsevier Ltd. All rights reserved.
引用
收藏
页码:1485 / 1491
页数:7
相关论文
共 50 条
  • [21] Fixed point and common fixed point results in cone metric space and application to invariant approximation
    Kumar, Anil
    Rathee, Savita
    FIXED POINT THEORY AND APPLICATIONS, 2015,
  • [22] Two results in metric fixed point theory
    Reem, Daniel
    Reich, Simeon
    Zaslavski, Alexander J.
    JOURNAL OF FIXED POINT THEORY AND APPLICATIONS, 2007, 1 (01) : 149 - 157
  • [23] Fixed point results in convex metric spaces
    Siriyan, Keerati
    Kangtunyakarn, Atid
    JOURNAL OF FIXED POINT THEORY AND APPLICATIONS, 2019, 21 (02)
  • [24] Fixed point results on subgraphs of directed graphs
    Aleomraninejad, S. M. A.
    Rezapour, Sh
    Shahzad, N.
    MATHEMATICAL SCIENCES, 2013, 7 (01)
  • [25] Some fixed point results in ultrametric spaces
    Kirk, W. A.
    Shahzad, N.
    TOPOLOGY AND ITS APPLICATIONS, 2012, 159 (15) : 3327 - 3334
  • [26] Fixed point and homotopy results in uniform spaces
    O'Regan, D
    Agarwal, RP
    Jiang, DQ
    BULLETIN OF THE BELGIAN MATHEMATICAL SOCIETY-SIMON STEVIN, 2004, 11 (02) : 289 - 296
  • [27] Two generic results in fixed point theory
    Reich, Simeon
    Zaslavski, Alexander J.
    FIXED POINT THEORY AND ITS APPLICATIONS, 2007, 77 : 215 - 225
  • [28] Applications of Caristi's fixed point results
    Abdul Latif
    Nawab Hussain
    Marwan A Kutbi
    Journal of Inequalities and Applications, 2012
  • [29] LOCAL FIXED POINT RESULTS FOR GRAPHIC CONTRACTIONS
    Petrusel, Adrian
    JOURNAL OF NONLINEAR AND VARIATIONAL ANALYSIS, 2019, 3 (02): : 141 - 148
  • [30] Common fixed point and invariant approximation results
    Abbas, Mujahid
    Kim, Jong Kyu
    BULLETIN OF THE KOREAN MATHEMATICAL SOCIETY, 2007, 44 (03) : 537 - 545