A common fixed point theorem for non-self mappings in strictly convex menger PM-spaces-Reference-Cited by-同舟云学术

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A common fixed point theorem for non-self mappings in strictly convex menger PM-spaces

Published:2020-12-01 Issue:6 Volume:70 Page:1367-1380
ISSN:1337-2211
Container-title:Mathematica Slovaca
language:en
Short-container-title:

Author:

Nikolić Rale M.¹,Ristić Vladimir T.²,Ćirović Nataša A.³

Affiliation:

1. Belgrade Metropolitan University Tadeuša Košćuška 63 Beograd Serbia

2. University of Kragujevac Faculty of Education Milana Mijalkovića 14 Jagodina Serbia

3. University of Belgrade School of Electrical Engineering Department of Applied Mathematics Bulevar Kralja Aleksandra 73, P.O. Box35-54 Beograd Serbia

Abstract

Abstract In this paper we prove existence and uniqueness of a common fixed point for non-self coincidentally commuting mappings with nonlinear, generalized contractive condition defined on strictly convex Menger PM-spaces proved.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

Link

https://www.degruyter.com/document/doi/10.1515/ms-2017-0438/pdf

Reference22 articles.

1. ASSAD, N. A.—KIRK, W. A.: Fixed-point theorems for set-valued mappings of contractive type Pacific J. Math. 43 (1972), 553-562.

2. BOYD, D. W.—WONG, J. S. W.: On nonlinear contractions Proc. Amer. Math. Soc. 20 (1969), 458-464.

3. BROWDER, F. E.: On the convergence of successive approximations for nonlinear functional equations Indag. Math. 30(1) (1968), 27-35.

4. ĆIRIĆ, L. B.: On fixed point of generalized contractions on probabilistic metric spaces Publ. Inst. 18(32) (1975), 71-78.

5. EGBERT, R. J.: Products and quotients of probabilistic metric spaces Pacific J. Math. 24 1968, 437-455.

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