Soft <svg     style="vertical-align:-0.216pt;width:12.8625px;" id="M1" height="10.4375" version="1.1" viewBox="0 0 12.8625 10.4375" width="12.8625"  xmlns:xlink="http://www.w3.org/1999/xlink" xmlns="http://www.w3.org/2000/svg">
	
		
			<g transform="matrix(.022,-0,0,-.022,.062,10.1)"><path id="x1D6FC" d="M545 106q-67 -118 -134 -118q-24 0 -40 37.5t-30 129.5h-2q-47 -72 -103 -119.5t-108 -47.5q-47 0 -76 45.5t-29 119.5q0 113 85 204t174 91q47 0 70 -33.5t43 -119.5h3q32 47 80 140l55 13l10 -9q-47 -80 -138 -201q17 -99 27.5 -136t22.5 -37q23 0 69 61zM333 204
q-14 98 -31 149.5t-50 51.5q-49 0 -94 -70t-45 -164q0 -55 15.5 -86t40.5 -31q70 0 164 150z" /></g>

		
	
</svg>-Open Sets and Soft <svg     style="vertical-align:-0.216pt;width:12.8625px;" id="M2" height="10.4375" version="1.1" viewBox="0 0 12.8625 10.4375" width="12.8625"  xmlns:xlink="http://www.w3.org/1999/xlink" xmlns="http://www.w3.org/2000/svg">
	
		
			<g transform="matrix(.022,-0,0,-.022,.062,10.1)"><use xlink:href="#x1D6FC"/></g>

		
	
</svg>-Continuous Functions

Abstract and Applied Analysis

fig1

Figure 1

Figure 1: Soft <svg     style="vertical-align:-0.216pt;width:12.8625px;" id="M1" height="10.4375" version="1.1" viewBox="0 0 12.8625 10.4375" width="12.8625"  xmlns:xlink="http://www.w3.org/1999/xlink" xmlns="http://www.w3.org/2000/svg">
	
		
			<g transform="matrix(.022,-0,0,-.022,.062,10.1)"><path id="x1D6FC" d="M545 106q-67 -118 -134 -118q-24 0 -40 37.5t-30 129.5h-2q-47 -72 -103 -119.5t-108 -47.5q-47 0 -76 45.5t-29 119.5q0 113 85 204t174 91q47 0 70 -33.5t43 -119.5h3q32 47 80 140l55 13l10 -9q-47 -80 -138 -201q17 -99 27.5 -136t22.5 -37q23 0 69 61zM333 204
q-14 98 -31 149.5t-50 51.5q-49 0 -94 -70t-45 -164q0 -55 15.5 -86t40.5 -31q70 0 164 150z" /></g>

		
	
</svg>-Open Sets and Soft <svg     style="vertical-align:-0.216pt;width:12.8625px;" id="M2" height="10.4375" version="1.1" viewBox="0 0 12.8625 10.4375" width="12.8625"  xmlns:xlink="http://www.w3.org/1999/xlink" xmlns="http://www.w3.org/2000/svg">
	
		
			<g transform="matrix(.022,-0,0,-.022,.062,10.1)"><use xlink:href="#x1D6FC"/></g>

		
	
</svg>-Continuous Functions 

Abstract and Applied Analysis

Soft -Open Sets and Soft -Continuous Functions

Figure 1