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1. Common Solution for Nonlinear Operators in Banach Spaces.

Author

EKUMA-OKEREKE, Enyinnaya and OKORO, Felix Moibi

Subjects
*BANACH spaces, *MONOTONE operators, *NONLINEAR operators
Abstract

This paper formulates a hybrid approximation process involving inertial component and demonstrates a convergence results for it. The formulated scheme converges faster and finds a common solution for some nonlinear operators in Banach spaces. The method of our proof and results obtained is well involved and significant. [ABSTRACT FROM AUTHOR]

Published
2020
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2. Common Fixed Point Theorems Via(Ψ, α, β)-Weak Contractions.

Author

DALAL, Sumitra, CHAUHAN, Sunny, and CHAUDHARI, Shikha

Subjects
*FIXED point theory, *FUZZY mathematics, *METRIC spaces, *NONLINEAR operators, *MATHEMATICS
Abstract

In this paper, we prove some common fixed point theorems for a pair of weakly compatible mappings satisfying (Ψ, α, β)-weak contractions in fuzzy metric spaces employing a control function. Our results improve and generalize several previously known relevant results of the existing literature. Some illustrative examples are alsofurnished to substantiate our main results. [ABSTRACT FROM AUTHOR]

Published
2015