Common Fixed Point Theorems in Topological Vector Spaces via Intersection Theorems

Ravi P. Agarwal; Mircea Balaj; Donal O’Regan

doi:10.1007/s10957-017-1082-7

Common Fixed Point Theorems in Topological Vector Spaces via Intersection Theorems

Ravi P. Agarwal
, Mircea Balaj
, Donal O’Regan

Mathematics

A&M University-Kingsville
University of Oradea

Research output: Contribution to a Journal (Peer & Non Peer) › Article › peer-review

10 Citations (Scopus)

Abstract

Our purpose in this paper is to present two methods for obtaining common fixed point theorems in topological vector spaces. Both methods combine an intersection theorem and a fixed point theorem, but the order in which they are applied differs.

Original language	English
Pages (from-to)	443-458
Number of pages	16
Journal	Journal of Optimization Theory and Applications
Volume	173
Issue number	2
DOIs	https://doi.org/10.1007/s10957-017-1082-7
Publication status	Published - 1 May 2017

Keywords

Common fixed point
Minimax inequality
Variational inequality

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10.1007/s10957-017-1082-7

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title = "Common Fixed Point Theorems in Topological Vector Spaces via Intersection Theorems",

abstract = "Our purpose in this paper is to present two methods for obtaining common fixed point theorems in topological vector spaces. Both methods combine an intersection theorem and a fixed point theorem, but the order in which they are applied differs.",

keywords = "Common fixed point, Minimax inequality, Variational inequality",

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AB - Our purpose in this paper is to present two methods for obtaining common fixed point theorems in topological vector spaces. Both methods combine an intersection theorem and a fixed point theorem, but the order in which they are applied differs.

KW - Common fixed point

KW - Minimax inequality

KW - Variational inequality

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M3 - Article

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EP - 458

JO - Journal of Optimization Theory and Applications

JF - Journal of Optimization Theory and Applications

IS - 2

ER -

Common Fixed Point Theorems in Topological Vector Spaces via Intersection Theorems

Abstract

Keywords

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