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Article
Some best approximation theorems and best proximity point theorems
A best approximation theorem for almost cyclic contractions has been proved in the recent article (Sadiq Basha in J. Fixed Point Theory Appl 23:32, 2021). The purpose of this note is to show that, with the sam...
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Article
Best approximation theorems for almost cyclic contractions
A new class of cyclic map**s, known as almost cyclic contractions, is introduced. Indeed, it is interesting to see that almost cyclic contractions are weaker than cyclic contractions. The main purpose of thi...
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Chapter and Conference Paper
Speech Based Access of Kisan Information System in Telugu Language
In a develo** country like India, agriculture provides large scale employment in rural areas, thus serving as the backbone of an economic system. For farmers it is important to decide which crop to grow, wha...
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Article
Best proximity point theorems for supreme proximal contractions
This article presents some best proximity point theorems for new classes of non-self map**s, called supreme proximal contractions and supreme proximal cyclic contractions, which are brought forth to generali...
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Article
Best proximity point theorems for some classes of contractions
This article elicits some best proximity point theorems, dealing with a special genre of global minimization problem to produce optimal approximate solutions for nonlinear equations of the form Tx = x, which mode...
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Article
Best proximity point theorems for contractive map**s
This article is concerned with some new best proximity point theorems for principal cyclic contractive map**s, proximal cyclic contractive map**s, and proximal contractive map**s. As a consequence, an in...
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Article
Best proximity point theorems for proximal cyclic contractions
The purpose of this article is to compute a global minimizer of the function \(x\longrightarrow d(x, Tx)\) ...
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Article
Common best proximity point theorems: Global minimization of some real-valued multi-objective functions
Let us deliberate the question of computing a solution to the problems that can be articulated as the simultaneous equations $${Sx = x...
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Article
Best proximity point theorems: unriddling a special nonlinear programming problem
This paper addresses the non-linear programming problem of globally minimizing the real valued function x⟶d(x,Sx) where S is a generalized proximal contraction in the setting of a metric space. Eventually, one ca...
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Article
Best proximity point theorems: resolution of an important non-linear programming problem
The purpose of this article is to resolve the non-linear programming problem of globally minimizing the real valued function $${x \lon...
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Article
Best proximity point theorems: exposition of a significant non-linear programming problem
The primary goal of this work is to address the non-linear programming problem of globally minimizing the real valued function x → d(x, Tx) where T is presumed to be a non-self map** that is a generalized proxi...
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Article
Best proximity point theorems on partially ordered sets
The main purpose of this article is to address a problem that amalgamates approximation and optimization in the setting of a partially ordered set that is endowed with a metric. Indeed, if A and B are non-void su...
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Article
Common best proximity points: global minimal solutions
Let us suppose that A and B are nonempty subsets of a metric space. Let S:A⟶B and T:A⟶B be nonself-map**s. Considering the fact S and T are nonself-map**s, it is feasible that the equations Sx=x and Tx=x have...
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Article
Best proximity points: approximation and optimization
A best proximity point theorem explores the existence of an optimal approximate solution, known as a best proximity point, to the equations of the form Tx = x where T is a non-self map**. The purpose of this ar...
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Article
Open AccessBest proximity point theorems for reckoning optimal approximate solutions
Given a non-self map** from A to B, where A and B are subsets of a metric space, in order to compute an optimal approximate solution of the equation ...
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Article
Discrete optimization in partially ordered sets
The primary aim of this article is to resolve a global optimization problem in the setting of a partially ordered set that is equipped with a metric. Indeed, given non-empty subsets A and B of a partially ordered...
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Article
Common best proximity points: global minimization of multi-objective functions
Given non-empty subsets A and B of a metric space, let \({S{:}A{\longrightarrow} B}\) and
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Article
Open AccessBest proximity point theorems for generalized proximal contractions
Best proximity point theorems unravel the techniques for determining an optimal approximate solution, designated as a best proximity point, to the equation Tx = x which is likely to have no solution when T is a n...
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Article
Global optimal approximate solutions
Given non-void subsets A and B of a metric space and a non-self map** \({T:A\longrightarrow B}\) , the equation T x ...
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Article
Best Proximity Points: Optimal Solutions
This article elicits a best proximity point theorem for non-self-proximal contractions. As a consequence, it ascertains the existence of an optimal approximate solution to some equations for which it is plausi...
