New best proximity point (pair) theorems via MNC and application to the existence of optimum solutions for a system of -Hilfer fractional differential equations

PR Patle, M Gabeleh, V Rakočević… - Revista de la Real …, 2023 - Springer
With the aim to prove the existence of optimum solutions of a system of ψ-Hilfer fractional
differential equations, this work considers a new class of cyclic (noncyclic) condensing …

On a new variant of F-contractive mappings with application to fractional differential equations

PR Patle, M Gabeleh - Nonlinear Analysis: Modelling and Control, 2022 - zurnalai.vu.lt
The present article intends to prove the existence of best proximity points (pairs) using the
notion of measure of noncompactness. We introduce generalized classes of cyclic …

[HTML][HTML] Optimum solution of -Hilfer FDEs by -condensing operators and the incorporated measure of noncompactness

GK Khokhar, DK Patel, PR Patle… - Journal of …, 2024 - journalofinequalitiesandapplications …
The notion of $\mathcal {A} $-condensing operators via the measure of noncompactness is
proposed, which retains the existing classes of condensing operators. Results concerning …

Global optimization of a nonlinear system of differential equations involving -Hilfer fractional derivatives of complex order

PR Patle, M Gabeleh, V Rakočević - Fractional Calculus and Applied …, 2024 - Springer
In this paper, a class of cyclic (noncyclic) operators of condensing nature are defined on
Banach spaces via a pair of shifting distance functions. The best proximity point (pair) results …

Global optimum solutions for a system of (k, ψ)-Hilfer fractional differential equations: Best proximity point approach

PR Patle, M Gabeleh, M De La Sen - Demonstratio Mathematica, 2023 - degruyter.com
In this article, a class of cyclic (noncyclic) operators are defined on Banach spaces via
concept of measure of noncompactness using some abstract functions. The best proximity …

[PDF][PDF] ON BEST PROXIMITY POINT APPROACH TO SOLVABILITY OF A SYSTEM OF FRACTIONAL DIFFERENTIAL EQUATIONS

PR Patle, M Gabeleh, M De La Sen - Journal of Applied Analysis & …, 2023 - jaac-online.com
In this article, a class of cyclic (noncyclic) condensing operators is defined on a Banach
space using the notion of measure of noncompactness and C-class functions. For these …

[PDF][PDF] New best proximity point and pair results, measure of noncompactness and their application to the system of equations

PR Patle, MGME Samei, SP Moshokoa - up.ac.za
In this paper the primary motive is to establish new best proximity point (pair) theorems with
the utilization of techniques such as measure of noncompactness and several auxiliary …

[PDF][PDF] Department of Mathematics and Statistics, Tshwane University of Technol-ogy, Pretoria-0008, South Africa e-mail: moshokoasp@ tut. ac. za New best proximity …

PR Patle, M Gabeleh, ME Samei… - … of Mathematics, University … - researchgate.net
In this paper primary motive is to establish new best proximity point (pair) theorems with the
utilization of techniques such as measure of noncompactness and several auxiliary …