Fixed point theorem for a sequence of multivalued nonself mappings in metrically convex metric spaces-Reference-Cited by-同舟云学术

Fixed point theorem for a sequence of multivalued nonself mappings in metrically convex metric spaces

Published:2022-01-01 Issue:1 Volume:10 Page:1-12
ISSN:2299-3231
Container-title:Topological Algebra and its Applications
language:en
Short-container-title:

Author:

Aron David¹,Kumar Santosh¹

Affiliation:

1. Department of Mathematics , College of Natural and Applied Sciences, University of Dar es Salaam , Tanzania

Abstract

Abstract In this paper, a common fixed point theorem is demonstrated for a sequence of multivalued mappings which satisfy certain requirements in complete metric spaces. The results proved here will generalize and extend the results due to Ćirić [1]. Suitable examples are given at the end to support the results proved herein.

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,Geometry and Topology,Algebra and Number Theory

Link

https://www.degruyter.com/document/doi/10.1515/taa-2020-0108/pdf

Reference19 articles.

1. [1] Ćirić, L. J., Fixed point theorems for set-valued non-self mappings on convex metric spaces, Math. Balk. 20, 207–217, (2006).

2. [2] Nadler, S. B., Multivalued contraction mappings, Pac. J. Math. 30, 475–488, (1969).

3. [3] Assad, N. A. and Kirk, W. A., Fixed point theorems for multivalued mappings of contractive type, Pac. J. Math. 43, 553–562, (1972).

4. [4] Rhoades, B. E., A fixed point theorem for a multi-valued non-self mapping, Comment. Math. Univ. Caroline, 37, 401–404, (1996).

5. [5] Imdad, M., Ahmad, A, and Kumar, S., On nonlinear non-self hybrid contraction, Radovi Matematicki., 10(2), 233-244, (2001) (MR1981096), (New Name: Sarajevo Journal of Mathematics).

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